A family of iterative methods for computing Moore–Penrose inverse of a matrix

Weiguo Li, Juan Li, Tiantian Qiao

Type: Article

Publication Date: 2012-08-28

Citations: 43

DOI: https://doi.org/10.1016/j.laa.2012.08.004

View Publication

Locations

Linear Algebra and its Applications - View

Similar Works

Action	Title	Year	Authors
+	An Efficient Matrix Iterative Method for Computing Moore–Penrose Inverse	2021	Manpreet Kaur Munish Kansal Sanjeev Kumar
+	Numerical algorithms for the moore-penrose inverse of a matrix: Iterative methods	1972	Nobuo Shinozaki Masaaki Sibuya Kunio Tanabe
+	Iterative methods for Moore-Penrose inverse	2018	Zainab Abu-Iram
+	A Family of higher-order convergent iterative methods for computing the Moore–Penrose inverse	2011	Haibin Chen Yiju Wang
+	An iterative method for computing the approximate inverse of a square matrix and the Moore–Penrose inverse of a non-square matrix	2013	F. Toutounian Fazlollah Soleymani
+	A numerical procedure for computing the Moore-Penrose inverse	1979	Glenn R. Luecke
+	Numerical algorithms for the Moore-Penrose inverse of a matrix: Direct methods	1972	Nobuo Shinozaki Masaaki Sibuya Kunio Tanabe
+	An efficient matrix iteration for computing weighted Moore–Penrose inverse	2013	Malik Zaka Ullah Fazlollah Soleymani A. S. Al-Fhaid
+	Gauss–Jordan elimination methods for the Moore–Penrose inverse of a matrix	2012	Jun Ji
+	A new efficient iterative method to compute the weighted Moore–Penrose inverse	2025	Salman Sheikhi Hamid Esmaeili
+	Finding the Moore–Penrose inverse by a new matrix iteration	2014	Fazlollah Soleymani H Salmani M. Rasouli
+	An accelerated iterative method for computing weighted Moore–Penrose inverse	2013	Fazlollah Soleymani Predrag S. Stanimirović Malik Zaka Ullah
+	An iterative method for computing the generalized inverse of a matrix	1966	H. P. Decell S. W. Kahng
+	Recursive Determination of the Generalized Moore–Penrose M-Inverse of a Matrix	2005	Firdaus E. Udwadia Phailaung Phohomsiri
+	A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix	2009	Weiguo Li Zhi Li
+	Conjugate-gradient method for computing the Moore-Penrose inverse and rank of a matrix	1977	Kosuke Tanabe
+	Mooreova-Penrosova pseudoinverze, iterační algoritmy pro výpočet	2013	Simona Sestrienková
+	A new method for computing Moore–Penrose inverse through Gauss–Jordan elimination	2014	Jun Ji Xuzhou Chen
+	Iterative methods for computing the generalized inverses AT, S(2) of a matrix A	1996	Yonglin Chen
+	Moore-Penrose Inverse of a Matrix Product	1992	Heinz Neudecker Shuangzhe Liu

Works That Cite This (33)

Action	Title	Year	Authors
+	Efficient Collocation Operational Matrix Method for Delay Differential Equations of Fractional Order	2018	Hussien S. Hussien
+	An efficient method to compute the Moore–Penrose inverse	2017	Hamid Esmaeili Raziyeh Erfanifar Mahdis Rashidi
+	Finding the Moore–Penrose inverse by a new matrix iteration	2014	Fazlollah Soleymani H Salmani M. Rasouli
+ PDF Chat	A New Iterative Method To Find The Moore-Penrose Inverse	2023	Salman Sheikhi Hamid Esmaeili
+	An efficient quadratically convergent iterative method to find the Moore–Penrose inverse	2016	Hamid Esmaeili A. Pirnia
+	A class of quadratically convergent iterative methods	2019	Predrag S. Stanimirović Vasilios N. Katsikis Shwetabh Srivastava Dimitrios Pappas
+	On finding robust approximate inverses for large sparse matrices	2013	Fazlollah Soleymani
+	A fast convergent iterative solver for approximate inverse of matrices	2013	Fazlollah Soleymani
+	Approximating the inverse and the Moore‐Penrose inverse of complex matrices	2019	Alicia Cordero Juan R. Torregrosa Fiza Zafar
+ PDF Chat	Approximate Schur‐Block ILU Preconditioners for Regularized Solution of Discrete Ill‐Posed Problems	2019	Suzan Cival Buranay Ovgu Cidar Iyikal

Works Cited by This (10)

Action	Title	Year	Authors
+	Numerical analysis: an introduction	1998	Walter Gautschi
+	The representation and approximations of outer generalized inverses	2004	Dragan S. Djordjević Predrag S. Stanimirović Yimin Wei
+	Computing Moore-Penrose inverses of Toeplitz matrices by Newton's iteration	2004	Yimin Wei Jian‐Feng Cai Michael K. Ng
+	A characterization and representation of the generalized inverse A(2)T,S and its applications	1998	Yimin Wei
+	The representation and approximation for Drazin inverse	2000	Yimin Wei Hebing Wu
+	Successive matrix squaring algorithm for computing the Drazin inverse	2000	Yimin Wei
+	A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix	2009	Weiguo Li Zhi Li
+	The Representation and Computational Procedures for the Generalized Inverse of an Operator<i>A</i>in Hilbert Spaces	2009	Yaoming Yu Yimin Wei
+	MODIFIED NEWTON＇S ALGORITHM FOR COMPUTING THE GROUP INVERSES OF SINGULAR TOEPLITZ MATRICES	2006	Jianfeng Cai Michael Michael Ng Yimin Wei
+	Modified Newton's Algorithm for Computing the Group Inverses of Singular Toeplitz Matrices	2006	Jian Feng Cai Michael K. Ng Yi Wei