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Some New Algebraic Method Developments in the Characterization of Matrix Equalities
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2024
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Yongge Tian
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A new analysis of optimal estimation and prediction under linear mixed models
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2024
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Bo Jiang
Yongge Tian
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Equivalent analysis of different estimations under a multivariate general linear model
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2024
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Bo Jiang
Yongge Tian
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Some New Characterizations of a Hermitian Matrix and Their Applications
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2023
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Yongge Tian
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Constructions of Mixed Reverse-Order Laws for the Products of Matrices Involving Moore–Penrose Inverses and Group Inverses
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2023
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Yongge Tian
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PDF
Chat
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Algebraic Characterizations of Relationships between Different Linear Matrix Functions
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2023
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Yongge Tian
Ruixia Yuan
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On a family of matrix equalities that involve multiple products of generalized inverses
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2023
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Yongge Tian
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An effective treatment of adding-up restrictions in the inference of a general linear model
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2023
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Yongge Tian
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Characterizations of Matrix Equalities that Involve Sums and Products of Multiple Matrices and Their Generalized Inverses
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2023
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Yongge Tian
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A study of the equivalence of inference results in the contexts of true and misspecified multivariate general linear models
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2023
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Ruixia Yuan
Bo Jiang
Yongge Tian
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Characterizations of matrix equalities involving the sums and products of multiple matrices and their generalized inverse
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2023
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Yongge Tian
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New facts related to dilation factorizations of Kronecker products of matrices
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2023
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Yongge Tian
Ruixia Yuan
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PDF
Chat
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Equivalence Analysis of Statistical Inference Results under True and Misspecified Multivariate Linear Models
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2022
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Bo Jiang
Yongge Tian
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A study of range equalities for mixed products of two matrices and their generalized inverses
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2022
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Yongge Tian
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On two correlated linear models with common and different parameters
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2022
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Bo Jiang
Ming Liu
Yongge Tian
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PDF
Chat
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On Relationships between a Linear Matrix Equation and Its Four Reduced Equations
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2022
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Bo Jiang
Yongge Tian
Ruixia Yuan
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PDF
Chat
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Characterizations of Matrix Equalities for Generalized Inverses of Matrix Products
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2022
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Yongge Tian
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PDF
Chat
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Statistical analysis of a linear regression model with restrictions and superfluous variables
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2022
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Wenming Li
Yongge Tian
Ruixia Yuan
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PDF
Chat
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Characterizations of the group invertibility of a matrix revisited
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2022
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Yongge Tian
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+
PDF
Chat
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On best linear unbiased estimation and prediction under a constrained linear random-effects model
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2021
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Bo Jiang
Yongge Tian
|
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+
PDF
Chat
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A note on two-sided removal and cancellation properties associated with Hermitian matrix
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2021
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Yongge Tian
|
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Equivalence analysis of different reverse order laws for generalized inverses of a matrix product
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2021
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Yongge Tian
|
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+
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Statistical inference of a partitioned linear random-effects model
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2021
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Ming Liu
Yongge Tian
Ruixia Yuan
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Establishment and Characterization of Equalities for the Ranges of Matrices
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2021
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Yongge Tian
|
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+
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Invariance property of a five matrix product involving two generalized inverses
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2021
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Bo Jiang
Yongge Tian
|
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+
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Miscellaneous reverse order laws and their equivalent facts for generalized inverses of a triple matrix product
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2021
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Yongge Tian
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Two Removal and Cancellation Laws Associated with a Complex Matrix and Its Conjugate Transpose
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2020
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Yongge Tian
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+
PDF
Chat
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Simultaneous optimal predictions under two seemingly unrelated linear random-effects models
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2020
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Yongge Tian
Pengyang Xie
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Universal Decomposition Equalities for Operator Matrices in a Hilbert Space
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2020
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Bo Jiang
Yongge Tian
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+
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A family of 512 reverse order laws for generalized inverses of a matrix product: A review
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2020
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Yongge Tian
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+
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A matrix approach to a general partitioned linear model with partial parameter restrictions
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2020
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Wei Ma
Yongge Tian
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+
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Linear and multilinear functional identities in a prime ring with applications
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2020
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Bo Jiang
Yongge Tian
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Two groups of mixed reverse order laws for generalized inverses of two and three matrix products
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2020
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Yongge Tian
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Further Results on a Matrix Equality and Matrix Set Inclusions for Generalized Inverses of Matrix Products
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2020
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Yongge Tian
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Miscellaneous reverse order laws for generalized inverses of matrix products with applications
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2020
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Yongge Tian
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Characterization of Relationships Between the Domains of Two Linear Matrix-Valued Functions with Applications
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2020
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Yongge Tian
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Miscellaneous equalities for idempotent matrices with applications
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2020
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Yongge Tian
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Classification analysis to the equalities <i>A<sup>(i,…,j)</sup></i> = <i>B<sup>(k,…,l)</sup></i> for generalized inverses of two matrices
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2019
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Yongge Tian
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A prediction analysis in a constrained multivariate general linear model with future observations
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2019
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Yuqin Sun
Hong Jiang
Yongge Tian
|
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+
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Formulas for calculating the dimensions of the sums and the intersections of a family of linear subspaces with applications
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2019
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Yongge Tian
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+
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Twists of two or multiple idempotent matrices
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2019
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Yongge Tian
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PDF
Chat
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On relationships between two linear subspaces and two orthogonal projectors
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2019
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Yongge Tian
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Reverse order laws for generalized inverses of products of two or three matrices with applications
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2019
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Yongge Tian
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+
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Some remarks on fundamental formulas and facts in the statistical analysis of a constrained general linear model
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2018
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Yongge Tian
Jie Wang
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Necessary and sufficient conditions for nonlinear matrix identities to always hold
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2018
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Bo Jiang
Yongge Tian
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+
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Closed-form formulas for calculating the max–min ranks of a triple matrix product composed by generalized inverses
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2018
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Yongge Tian
Bo Jiang
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+
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A comparison between two competing fixed parameter constrained general linear models with new regressors
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2018
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Changli Lu
Yuqin Sun
Yongge Tian
|
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+
PDF
Chat
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On decompositions of estimators under a general linear model with partial parameter restrictions
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2017
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Bo Jiang
Yongge Tian
Xuan Zhang
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+
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On additive decompositions of estimators under a multivariate general linear model and its two submodels
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2017
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Bo Jiang
Yongge Tian
|
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+
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Rank/inertia approaches to weighted least-squares solutions of linear matrix equations
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2017
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Bo Jiang
Yongge Tian
|
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+
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Transformation approaches of linear random-effects models
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2017
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Yongge Tian
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+
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On equivalence of predictors/estimators under a multivariate general linear model with augmentation
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2017
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Bo Jiang
Yongge Tian
|
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+
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Upper and lower bounds for the rank of the matrix-valued function when <i>X</i> has a fixed rank
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2017
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Yongge Tian
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+
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On simultaneous prediction in a multivariate general linear model with future observations
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2017
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Yongge Tian
Cheng Wang
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+
PDF
Chat
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Matrix rank and inertia formulas in the analysis of general linear models
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2017
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Yongge Tian
|
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+
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How to establish exact formulas for calculating the max–min ranks of products of two matrices and their generalized inverses
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2017
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Yongge Tian
|
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+
PDF
Chat
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Decomposition of approaches of a general linear model with fixed parameters
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2017
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Bo Jiang
Yongge Tian
|
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+
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Quadratic properties of least-squares solutions of linear matrix equations with statistical applications
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2016
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Yongge Tian
Bo Jiang
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+
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A new analysis of the relationships between a general linear model and its mis-specified forms
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2016
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Yongge Tian
Bo Jiang
|
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+
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Two competing linear random-effects models and their connections
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2016
|
Changli Lu
Yuqin Sun
Yongge Tian
|
|
+
PDF
Chat
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Equalities and inequalities for ranks of products of generalized inverses of two matrices and their applications
|
2016
|
Yongge Tian
|
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+
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Equivalence of predictors under real and over-parameterized linear models
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2016
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Shengjun Gan
Yuqin Sun
Yongge Tian
|
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+
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An algebraic study of BLUPs under two linear random-effects models with correlated covariance matrices
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2016
|
Yongge Tian
Bo Jiang
|
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+
PDF
Chat
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Matrix rank/inertia formulas for least-squares solutions with statistical applications
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2016
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Yongge Tian
Bo Jiang
|
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+
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On connections among OLSEs and BLUEs of whole and partial parameters under a general linear model
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2016
|
Yongge Tian
Xuan Zhang
|
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+
PDF
Chat
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Solutions of a constrained Hermitian matrix-valued function optimization problem with applications
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2016
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Yongge Tian
|
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+
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Equalities for estimators of partial parameters under linear model with restrictions
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2015
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Yongge Tian
Bo Jiang
|
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+
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Some equalities and inequalities for covariance matrices of estimators under linear model
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2015
|
Yongge Tian
|
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+
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Some notes on linear sufficiency
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2015
|
Radosław Kala
Simo Puntanen
Yongge Tian
|
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+
PDF
Chat
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A survey on rank and inertia optimization problems of the matrix-valued function $A + BXB^{*}$
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2015
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Yongge Tian
|
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+
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On decompositions of BLUEs under a partitioned linear model with restrictions
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2014
|
Xuan Zhang
Yongge Tian
|
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+
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Some remarks on general linear model with new regressors
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2014
|
Changli Lu
Shengjun Gan
Yongge Tian
|
|
+
PDF
Chat
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Some optimization problems on ranks and inertias of matrix-valued functions subject to linear matrix equation restrictions
|
2014
|
Yongge Tian
|
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+
PDF
Chat
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On relations among solutions of the Hermitian matrix equation $AXA^{*} = B$ and its three small equations
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2014
|
Ying Li
Yongge Tian
|
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+
PDF
Chat
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How to solve three fundamental linear matrix inequalities in the Löwner partial ordering
|
2014
|
Yongge Tian
|
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+
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Relations between least-squares and least-rank solutions of the matrix equation
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2013
|
Yongge Tian
Hongxing Wang
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+
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Some overall properties of seemingly unrelated regression models
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2013
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Yuqin Sun
Ke Rong
Yongge Tian
|
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+
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Solutions of the matrix inequalities $BXB^* <=^- A$ in the minus partial ordering and $BXB^* <=^L A$ in the Löwner partial ordering
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2013
|
Yongge Tian
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+
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Analytical solutions to some optimization problems on ranks and inertias of matrix-valued functions subject to linear matrix inequalities
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2013
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Yongge Tian
|
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+
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How to solve three fundamental linear matrix inequalities in the Löwner partial ordering
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2013
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Yongge Tian
|
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+
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Analytical formulas for calculating the extremal ranks of the matrix-valued function $A + BXC$ when the rank of $X$ is fixed
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2013
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Yongge Tian
|
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Formulas for calculating the extremal ranks and inertias of a matrix-valued function subject to matrix equation restrictions
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2013
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Yongge Tian
|
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+
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Closed-form formulas for calculating the extremal ranks and inertias of a quadratic matrix-valued function and their applications
|
2013
|
Yongge Tian
|
|
+
PDF
Chat
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Solutions of the matrix inequalities in the minus partial ordering and Löwner partial ordering
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2013
|
Yongge Tian
|
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+
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Solutions of the matrix inequalities $BXB^* <=^- A$ in the minus partial ordering and $BXB^* <=^L A$ in the Löwner partial ordering
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2013
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Yongge Tian
|
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+
PDF
Chat
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Equalities and inequalities for Hermitian solutions and Hermitian definite solutions of the two matrix equations AX = B and AXA * = B
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2012
|
Yongge Tian
|
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+
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On properties of BLUEs under general linear regression models
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2012
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Yongge Tian
|
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+
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On relations between weighted least-squares estimators of parametric functions under a general partitioned linear model and its small models
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2012
|
Changli Lu
Yuqin Sun
Yongge Tian
|
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+
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Biquaternions and their complex matrix representations
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2012
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Yongge Tian
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+
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Characterizing Relationships Between Estimations Under a General Linear Model with Explicit and Implicit Restrictions by Rank of Matrix
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2012
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Yongge Tian
|
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+
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Formulas for calculating the extremum ranks and inertias of a four-term quadratic matrix-valued function and their applications
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2012
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Yongge Tian
|
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+
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Least-squares solutions and least-rank solutions of the matrix equation <i>AXA</i> <sup>*</sup> = <i>B</i> and their relations
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2012
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Yongge Tian
|
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+
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Hermitian‐type generalized singular value decomposition with applications
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2012
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Yonghui Liu
Yongge Tian
|
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+
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Distributions of eigenvalues and inertias of some block Hermitian matrices consisting of orthogonal projectors
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2012
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Yongge Tian
Ying Li
|
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+
PDF
Chat
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Solving the matrix inequality AXB + (AXB)^* ⩾ C
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2012
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Yongge Tian
Dietrich von Rosen
|
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+
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Solving optimization problems on ranks and inertias of some constrained nonlinear matrix functions via an algebraic linearization method
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2011
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Yongge Tian
|
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Solutions to 18 constrained optimization problems on the rank and inertia of the linear matrix function <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>A</mml:mi><mml:mo>+</mml:mo><mml:mi>B</mml:mi><mml:mi>X</mml:mi><mml:msup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:math>
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2011
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Yongge Tian
|
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+
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A disjoint idempotent decomposition for linear combinations produced from two commutative tripotent matrices and its applications
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2011
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Yongge Tian
|
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+
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Extremal ranks of a quadratic matrix expression with applications
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2011
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Yongge Tian
|
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+
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Relations between matrix sets generated from linear matrix expressions and their applications
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2011
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Yongge Tian
|
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+
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Two universal similarity factorization equalities for commutative involutory and idempotent matrices and their applications
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2011
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Yongge Tian
|
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Maximization and minimization of the rank and inertia of the Hermitian matrix expression <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mi>A</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="italic">BX</mml:mi><mml:mo>-</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="italic">BX</mml:mi><mml:msup><mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math> …
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2011
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Yongge Tian
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On Additive Decomposition of the Hermitian Solution of the Matrix Equation AXA* = B
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2010
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Yongge Tian
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Max-Min Problems on the Ranks and Inertias of the Matrix Expressions A−BXC±(BXC)∗ with Applications
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2010
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Yonghui Liu
Yongge Tian
|
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+
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Expansion formulas for the inertias of Hermitian matrix polynomials and matrix pencils of orthogonal projectors
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2010
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Yongge Tian
|
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+
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Equalities for orthogonal projectors and their operations
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2010
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Yongge Tian
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+
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Solving a minus partial ordering equation over von Neumann regular rings
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2010
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Yongge Tian
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Some equalities for estimations of variance components in a general linear model and its restricted and transformed models
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2010
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Yongge Tian
Chunmei Liu
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Solving Some Linear Equations Over Alternative Rings
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2010
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Yongge Tian
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+
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Equalities and inequalities for inertias of hermitian matrices with applications
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2010
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Yongge Tian
|
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+
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On additive decompositions of solutions of the matrix equation AXB=C
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2010
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Yongge Tian
|
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+
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A simultaneous decomposition of a matrix triplet with applications
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2010
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Yonghui Liu
Yongge Tian
|
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+
PDF
Chat
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Rank and inertia of submatrices of the Moore-Penrose inverse of a Hermitian matrix
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2010
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Yongge Tian
|
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+
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Efficiency of Optimal Designs for a Linear Haar-Wavelet Regression
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2010
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Yongge Tian
|
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+
PDF
Chat
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Completing block Hermitian matrices with maximal and minimal ranks and inertias
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2010
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Yongge Tian
|
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+
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Some equalities for estimations of partial coefficients under a general linear regression model
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2009
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Yongge Tian
Jieping Zhang
|
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+
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How to use RSVD to solve the matrix equation<i>A</i>=<i>BXC</i>
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2009
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Yonghui Liu
Yongge Tian
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+
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On additive and block decompositions of WLSEs under a multiple partitioned regression model
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2009
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Yongge Tian
Zhe Tian
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ESTIMATIONS AND OPTIMAL DESIGNS FOR TWO-DIMENSIONAL HAAR-WAVELET REGRESSION MODELS
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2009
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Yongge Tian
|
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+
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Ranks of Hermitian and skew-Hermitian solutions to the matrix equation <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">AXA</mml:mi></mml:mrow><mml:mrow><mml:mo>∗</mml:mo></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mi>B</mml:mi></mml:mrow></mml:math>
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2009
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Yonghui Liu
Yongge Tian
Yoshio Takane
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+
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Some properties of submatrices in a solution to the matrix equation AXB=C with applications
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2009
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Yongge Tian
|
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+
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On equalities of estimations of parametric functions under a general linear model and its restricted models
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2009
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Yongge Tian
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+
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The inverse of any two-by-two nonsingular partitioned matrix and three matrix inverse completion problems
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2009
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Yongge Tian
Yoshio Takane
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+
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Extremal ranks of submatrices in an Hermitian solution to the matrix equation AXA *=B with applications
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2009
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Yonghui Liu
Yongge Tian
|
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+
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On some matrix equalities for generalized inverses with applications
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2009
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Yongge Tian
George P. H. Styan
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+
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Eight expressions for generalized inverses of a bordered matrix
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2009
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Yongge Tian
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+
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On consistency, natural restrictions and estimability under classical and extended growth curve models
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2009
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Yongge Tian
Yoshio Takane
|
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+
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On the equivalence of estimations under a general linear model and its transformed models
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2008
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Yongge Tian
Simo Puntanen
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+
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Solving Two Pairs of Quadratic Equations in Quaternions
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2008
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Yongge Tian
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+
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Approximation and continuity of Moore–Penrose inverses of orthogonal row block matrices
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2008
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Yongge Tian
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+
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Weighted least-squares estimators of parametric functions of the regression coefficients under a general linear model
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2008
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Yongge Tian
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+
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On an additive decomposition of the BLUE in a multiple-partitioned linear model
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2008
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Yongge Tian
|
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+
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More on generalized inverses of partitioned matrices with Banachiewicz–Schur forms
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2008
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Yongge Tian
Yoshio Takane
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+
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On Sum Decompositions of Weighted Least-Squares Estimators for the Partitioned Linear Model
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2007
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Yongge Tian
Yoshio Takane
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+
PDF
Chat
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On V-orthogonal projectors associated with a semi-norm
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2007
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Yongge Tian
Yoshio Takane
|
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+
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More on extremal ranks of the matrix expressions <i>A</i> − <i>BX</i> ± <i>X</i><sup>*</sup><i>B</i><sup>*</sup> with statistical applications
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2007
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Yonghui Liu
Yongge Tian
|
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+
PDF
Chat
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Some Mixed-Type Reverse-Order Laws for the Moore-Penrose Inverse of a Triple Matrix Product
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2007
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Yongge Tian
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+
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Some properties of projectors associated with the WLSE under a general linear model
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2007
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Yongge Tian
Yoshio Takane
|
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+
PDF
Chat
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Some Decompositions of OLSEs and BLUEs Under a Partitioned Linear Model
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2007
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Yongge Tian
|
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+
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On reverse-order laws for least-squares g-inverses and minimum norm g-inverses of a matrix product
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2007
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Yoshio Takane
Yongge Tian
Haruo Yanai
|
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+
PDF
Chat
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On a group of mixed-type reverse-order laws for generalized inverses of a triple matrix product with applications
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2007
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Yongge Tian
Yonghui Liu
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+
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On the natural restrictions in the singular Gauss–Markov model
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2006
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Yongge Tian
Mary Beisiegel
E. Dagenais
Christina Haines
|
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+
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Inequalities Involving Rank and Kronecker Product: 11129
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2006
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Yongge Tian
Robin Chapman
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+
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On constrained generalized inverses of matrices and their properties
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2006
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Yoshio Takane
Yongge Tian
Haruo Yanai
|
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+
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Estimation and optimal designs for linear Haar-wavelet models
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2006
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Yongge Tian
Agnes M. Herzberg
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+
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Invariance properties of a triple matrix product involving generalized inverses
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2006
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Jürgen Groß
Yongge Tian
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+
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PARTIALLY SUPERFLUOUS OBSERVATIONS
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2006
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Hailong Qian
Yongge Tian
|
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+
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On equality and proportionality of ordinary least squares, weighted least squares and best linear unbiased estimators in the general linear model
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2006
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Yongge Tian
Douglas P. Wiens
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+
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Extremal Ranks of Some Symmetric Matrix Expressions with Applications
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2006
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Yongge Tian
Yonghui Liu
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+
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RANKS AND INDEPENDENCE OF SOLUTIONS OF THE MATRIX EQUATION AXB + CY D = M
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2006
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Yongge Tian
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+
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An Equality for Trace of Matrix over a Generalized Quaternion Algebra
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2006
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Cheng Shi-zhen
Yongge Tian
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+
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The extremal ranks of $A_1 - B_1 X C_1$ subject to a pair of matrix equations
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2006
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Yongge Tian
Yonghui Liu
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+
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On common generalized inverses of a pair of matrices
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2005
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Yongge Tian
Yoshio Takane
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+
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Some rank equalities and inequalities for Kronecker products of matrices
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2005
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Yongge Tian
|
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+
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Cochran's statistical theorem for outer inverses of matrices and matrix quadratic forms
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2005
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Yongge Tian
George P. H. Styan
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+
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Rank equalities for idempotent matrices with applications
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2005
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Yongge Tian
George P. H. Styan
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+
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THREE RANK FORMULAS ASSOCIATED WITH THE COVARIANCE MATRICES OF THE BLUE AND THE OLSE IN THE GENERAL LINEAR MODEL
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2005
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Simo Puntanen
George P. H. Styan
Yongge Tian
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+
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Some inequalities for sums of nonnegative definite matrices in quaternions
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2005
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Yongge Tian
George PH Styan
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+
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The Moore–Penrose inverse for sums of matrices under rank additivity conditions
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2005
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Yongge Tian
|
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+
PDF
Chat
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Special forms of generalized inverses of row block matrices
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2005
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Yongge Tian
|
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+
PDF
Chat
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Schur complements and Banachiewicz-Schur forms
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2005
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Yongge Tian
Yoshio Takane
|
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+
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Cochran's statistical theorem revisited
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2004
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Yongge Tian
George P. H. Styan
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+
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Some identities for Moore–Penrose inverses of matrix products
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2004
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Yongge Tian
Cheng Shi-zhen
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+
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04.2.1. A Range Equality for Block Matrices with Orthogonal Projectors
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2004
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Yongge Tian
|
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+
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Rank Equalities for Block Matrices and Their Moore-Penrose Inverses
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2004
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Yongge Tian
|
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+
PDF
Chat
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On mixed‐type reverse‐order laws for the Moore‐Penrose inverse of a matrix product
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2004
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Yongge Tian
|
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+
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A Note on Range Equalities for Block Matrices and Sums of Matrices
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2004
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Yongge Tian
|
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+
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More on maximal and minimal ranks of Schur complements with applications
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2003
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Yongge Tian
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+
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Ranks of Solutions of the Matrix Equation <i>AXB</i> = C
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2003
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Yongge Tian
|
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+
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The Equations — = , — = and = in Quaternions
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2003
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Yongge Tian
|
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+
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Characterizing Equalities for Orthogonal Projectors by Rank Formulas
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2003
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Cheng Shi-zhen
Yongge Tian
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+
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Rank equalities and inequalities for Kronecker products of matrices with applications
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2003
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Jianjun Chuai
Yongge Tian
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+
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Using rank formulas to characterize equalities for Moore–Penrose inverses of matrix products
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2003
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Yongge Tian
|
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+
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The maximal and minimal ranks of A − BXC with applications
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2003
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Yongge Tian
Cheng Shi-zhen
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+
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Uniqueness and independence of submatrices in solutions of matrix equations.
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2003
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Yongge Tian
|
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+
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Upper and lower bounds for ranks of matrix expressions using generalized inverses
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2002
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Yongge Tian
|
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+
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Generalized Inverses of Multiple Matrix Products
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2002
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Yongge Tian
|
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+
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The Maximal and Minimal Ranks of a Quadratic Matrix Expression with Applications
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2002
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Yongge Tian
|
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+
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The Maximal and Minimal Ranks of Some Expressions of Generalized Inverses of Matrices
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2002
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Yongge Tian
|
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+
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Squashing a Matrix by Adding an Imaginary Part: 10776
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2002
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Yongge Tian
David W. Carter
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+
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When does rank(ABC) = rank(AB) + rank(BC) - rank(B) hold?
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2002
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Yongge Tian
George P. H. Styan
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+
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The Minimum Rank of a 3 × 3 Partial Block Matrix
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2002
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Yongge Tian
|
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+
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When does rank(<I>ABC</I>) = rank(<I>AB</I>) + rank(<I>BC</I>) - rank(<I>B</I>) hold?
|
2002
|
Yongge Tian
George P. H. Styan
|
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+
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Rank equalities related to outer inverses of matrices and applications
|
2001
|
Yongge Tian
|
|
+
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Rank equalities for idempotent and involutary matrices
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2001
|
Yongge Tian
George P. H. Styan
|
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+
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SOME INEQUALITIES FOR SUMS OF MATRICES
|
2001
|
Yongge Tian
|
|
+
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How Characterize Equalities for the Moore-Penrose Inverse of a Matrix
|
2001
|
Yongge Tian
|
|
+
PDF
Chat
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How to establish universal block-matrix factorizations
|
2001
|
Yongge Tian
George P. H. Styan
|
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+
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Completing triangular block matrices with maximal and minimal ranks
|
2000
|
Yongge Tian
|
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+
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The solvability of two linear matrix equations
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2000
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Yongge Tian
|
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+
PDF
Chat
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Matrix representations of octonions and their applications
|
2000
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Yongge Tian
|
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+
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Matrix Theory over the Complex Quaternion Algebra
|
2000
|
Yongge Tian
|
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+
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Rank Equalities Related to Generalized Inverses of Matrices and Their Applications
|
2000
|
Yongge Tian
|
|
+
PDF
Chat
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Universal Similarity Factorization Equalities Over Complex Clifford Algebras
|
2000
|
Yongge Tian
|
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+
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Universal Similarity Factorization Equalities over Real Clifford Algebras
|
2000
|
Yongge Tian
|
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+
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Matrix Representations of Octonions and Their Applications
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2000
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Yongge Tian
|
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+
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Similarity and Consimilarity of Elements in Real Cayley-Dickson Algebras
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2000
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Yongge Tian
|
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+
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Universal Similarity Factorization Equalities over Complex Clifford Algebras
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2000
|
Yongge Tian
|
|
+
PDF
Chat
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Similarity and consimilarity of elements in the real Cayley-Dickson algebras
|
1999
|
Yongge Tian
|
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+
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On projectors with respect to seminorms
|
1999
|
Yongge Tian
Yoshio Takane
|
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+
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Universal Factorization Equalities for Quaternion Matrices and Their Applications
|
1999
|
Yongge Tian
|
|
+
PDF
Chat
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Universal similarity factorization equalities over real Clifford algebras
|
1998
|
Yongge Tian
|
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+
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The Moore-Penrose inverses of m × n block matrices and their applications
|
1998
|
Yongge Tian
|
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+
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Reverse order laws for the generalized inverses of multiple matrix products
|
1994
|
Yongge Tian
|
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+
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NEW SUFFICIENT CONDITIONS OF THE LONGEST CYCLES OF 1-TOUGH GRAPHS
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1991
|
Yongge Tian
|
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+
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ON THE LONGEST CYCLES OF 1-TOUGH GRAPHS
|
1989
|
Yongge Tian
|