Е. Е. Тыртышников

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All published works

Action	Title	Year	Authors
+	Study of performance of low-rank nonnegative tensor factorization methods	2023	E. M. Shcherbakova С. А. Матвеев A. P. Smirnov Е. Е. Тыртышников
+	The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method	2023	M.A. Botchev Sergey Kabanikhin Maxim Shishlenin Е. Е. Тыртышников
+	On the Best Approximation Algorithm by Low-Rank Matrices in Chebyshev’s Norm	2022	Н. Л. Замарашкин Stanislav Morozov Е. Е. Тыртышников
+	Common Structure of Reduced Bases for Aggregation Kinetics Problems of Varying Dimensionality	2022	С. А. Матвеев Alexander Smirnov Ivan V. Timokhin Е. Е. Тыртышников
+	Fast Nonnegative Tensor Factorizations with Tensor Train Model	2022	E. M. Shcherbakova Е. Е. Тыртышников
+ PDF Chat	Model reduction in Smoluchowski-type equations	2022	Ivan V. Timokhin С. А. Матвеев Е. Е. Тыртышников A. P. Smirnov
+ PDF Chat	A well-posed setting of the problem of solving systems of linear algebraic equations	2022	Е. Е. Тыртышников
+	Numerical Method for Solving Volume Integral Equations on a Nonuniform Grid	2021	A. B. Samokhin Е. Е. Тыртышников
+	New Applications of Matrix Methods	2021	Н. Л. Замарашкин Ivan Oseledets Е. Е. Тыртышников
+	Model reduction in Smoluchowski-type equations	2020	Ivan V. Timokhin С. А. Матвеев Е. Е. Тыртышников A. P. Smirnov
+	Global optimization based on TT-decomposition	2020	Dmitry A. Zheltkov Е. Е. Тыртышников
+	Tensor decompositions and rank increment conjecture	2020	Е. Е. Тыртышников
+	Nonnegative Tensor Train Factorizations and Some Applications	2020	E. M. Shcherbakova Е. Е. Тыртышников
+	Application of the Global Optimization Methods for Solving the Parameter Estimation Problem in Mathematical Immunology	2020	В.В. Желткова Dmitry A. Zheltkov Gennady Bocharov Е. Е. Тыртышников
+	Model reduction in Smoluchowski-type equations	2020	Ivan V. Timokhin С. А. Матвеев Е. Е. Тыртышников А. П. Смирнов
+	Docking of oligopeptides	2019	А.В. Сулимов Danil Kutov Ivan Ilin Х. С. Шихалиев Dmitry A. Zheltkov Е. Е. Тыртышников В. Б. Сулимов
+ PDF Chat	A new approach to the Farkas theorem of the alternative	2019	Yu. G. Evtushenko А. А. Тretyakov Е. Е. Тыртышников
+	New Approach to Farkas’ Theorem of the Alternative	2019	Yu. G. Evtushenko А. А. Тretyakov Е. Е. Тыртышников
+	Numerical studies of solutions for kinetic equations with many-particle collisions	2019	С. А. Матвеев Daniil Stefonishin A. P. Smirnov A. A. Sorokin Е. Е. Тыртышников
+ PDF Chat	Error Analysis of TT-Format Tensor Algorithms	2019	Dario Fasino Е. Е. Тыртышников
+	Further generalization of locally Toeplitz sequences	2019	Stanislav Morozov Е. Е. Тыртышников
+ PDF Chat	Steady oscillations in aggregation-fragmentation processes	2018	Nikolai V. Brilliantov Wendy Otieno С. А. Матвеев А. П. Смирнов Е. Е. Тыртышников P. L. Krapivsky
+ PDF Chat	Oscillations in Aggregation-Shattering Processes	2017	С. А. Матвеев P. L. Krapivsky А. П. Смирнов Е. Е. Тыртышников Nikolai V. Brilliantov
+	Tensor based approach to the numerical treatment of the parameter estimation problems in mathematical immunology	2017	Valeriya V. Zheltkova Dmitry A. Zheltkov Zvi Grossman Gennady Bocharov Е. Е. Тыртышников
+	Tensor train versus Monte Carlo for the multicomponent Smoluchowski coagulation equation	2016	С. А. Матвеев Dmitry A. Zheltkov Е. Е. Тыртышников A. P. Smirnov
+ PDF Chat	A parallel implementation of the matrix cross approximation method	2015	Dmitry A. Zheltkov Е. Е. Тыртышников
+ PDF Chat	On evolution of solution times for the chemical master equation of the enzymatic futile cycle	2015	Sergey Dolgov Е. Е. Тыртышников
+	Evaluation of the Docking Algorithm Based on Tensor Train Global Pptimization	2015	I. V. Oferkin Dmitry A. Zheltkov Е. Е. Тыртышников А.В. Сулимов Danil Kutov В. Б. Сулимов
+	Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation	2014	M.A. Botchev Ivan Oseledets Е. Е. Тыртышников
+ PDF Chat	Low-rank approximation in the numerical modeling of the Farley–Buneman instability in ionospheric plasma	2014	Sergey Dolgov A. P. Smirnov Е. Е. Тыртышников
+	Superfast solution of linear convolutional Volterra equations using QTT approximation	2013	Jason Roberts Dmitry Savostyanov Е. Е. Тыртышников
+	Time stepping free numerical solution of linear differential equations: Krylov subspace versus waveform relaxation	2013	Mikhail A. Bochev Ivan Oseledets Е. Е. Тыртышников
+	Solving the general quadratic programming problem in a finite number of steps	2013	А. А. Тretyakov Е. Е. Тыртышников
+	A finite gradient-projective solver for a quadratic programming problem	2013	А. А. Тretyakov Е. Е. Тыртышников
+	Preface to the special issue on tensors and multilinear algebra	2012	Shmuel Friedland Tamara G. Kolda Lek‐Heng Lim Е. Е. Тыртышников
+ PDF Chat	Structured matrices and tensors	2011	Ng Michael Raymond Chan Xiaojun Chen Liqun Qi Franklin Luk Michael K. Ng Е. Е. Тыртышников
+ PDF Chat	Use of tensor formats in elliptic eigenvalue problems	2011	Wolfgang Hackbusch Boris N. Khoromskij Stefan Sauter Е. Е. Тыртышников
+ PDF Chat	Fast truncation of mode ranks for bilinear tensor operations	2011	Dmitry Savostyanov Е. Е. Тыртышников Н. Л. Замарашкин
+ PDF Chat	Preface to the special issue, CMAM 2011, no. 3.	2011	I. P. Gavrilyuk Boris N. Khoromskij Е. Е. Тыртышников
+	Structure of the Hessian matrix and an economical implementation of Newton’s method in the problem of canonical approximation of tensors	2010	Vladimir Kazeev Е. Е. Тыртышников
+	Tensor ranks for the inversion of tensor-product binomials	2010	Е. Е. Тыртышников
+	Matrices, continued fractions, and fast algorithms	2010	Е. Е. Тыртышников
+	Matrix computations with data in multi-index formats	2010	Е. Е. Тыртышников
+	Approximate multiplication of tensor matrices based on the individual filtering of factors	2009	Dmitry Savostyanov Е. Е. Тыртышников
+	Recursive and Tensor-Train Decompositions in Higher Dimensions	2009	Ivan Oseledets Е. Е. Тыртышников
+ PDF Chat	Approximate iterations for structured matrices	2008	Wolfgang Hackbusch Boris N. Khoromskij Е. Е. Тыртышников
+	Verification of the cross 3D algorithm on quantum chemistry data	2008	Heinz‐Jürgen Flad Boris N. Khoromskij Dmitry Savostyanov Е. Е. Тыртышников
+	Superfast Inversion of Two-Level Toeplitz Matrices Using Newton Iteration and Tensor-Displacement Structure	2007	Vadim Olshevsky Ivan Oseledets Е. Е. Тыртышников
+	Fast computation of Toeplitz forms and some multidimensional integrals	2005	Е. Е. Тыртышников
+	Kronecker-product approximations for some function-related matrices	2003	Е. Е. Тыртышников
+	Tensor approximations of matrices generated by asymptotically smooth functions	2003	Е. Е. Тыртышников
+	A general equidistribution theorem for the roots of orthogonal polynomials	2003	Е. Е. Тыртышников Н. Л. Замарашкин
+ PDF Chat	Toeplitz eigenvalues for Radon measures	2002	Е. Е. Тыртышников Н. Л. Замарашкин
+	A matrix view on the root distribution for orthogonal polynomials	2001	Е. Е. Тыртышников
+	The maximal-volume concept in approximation by low-rank matrices	2001	S. A. Goreinov Е. Е. Тыртышников
+	Spectra of multilevel Toeplitz matrices: Advanced theory via simple matrix relationships	1998	Е. Е. Тыртышников
+	A theory of pseudoskeleton approximations	1997	S. A. Goreinov Е. Е. Тыртышников Н. Л. Замарашкин
+	Lecture 16	1997	Е. Е. Тыртышников
+	Lecture 17	1997	Е. Е. Тыртышников
+	Lecture 13	1997	Е. Е. Тыртышников
+	Lecture 9	1997	Е. Е. Тыртышников
+	Lecture 7	1997	Е. Е. Тыртышников
+	Lecture 21	1997	Е. Е. Тыртышников
+	Vectorized algorithms and systolic arrays for Toeplitz systems of equations	1987	S. A. KRASNOV Е. Е. Тыртышников

Common Coauthors

Coauthor	Papers Together
С. А. Матвеев	9
Dmitry A. Zheltkov	7
A. P. Smirnov	7
Н. Л. Замарашкин	6
Ivan Oseledets	5
Ivan V. Timokhin	4
Dmitry Savostyanov	4
Boris N. Khoromskij	4
А. А. Тretyakov	4
А. П. Смирнов	3
E. M. Shcherbakova	3
P. L. Krapivsky	2
Yu. G. Evtushenko	2
Sergey Dolgov	2
Gennady Bocharov	2
M.A. Botchev	2
Nikolai V. Brilliantov	2
В. Б. Сулимов	2
Danil Kutov	2
Wolfgang Hackbusch	2
Stanislav Morozov	2
А.В. Сулимов	2
S. A. Goreinov	2
Dario Fasino	1
Lek‐Heng Lim	1
Valeriya V. Zheltkova	1
Vladimir Kazeev	1
Shmuel Friedland	1
I. P. Gavrilyuk	1
Wendy Otieno	1
Jason Roberts	1
I. V. Oferkin	1
Sergey Kabanikhin	1
Heinz‐Jürgen Flad	1
Ivan Ilin	1
В.В. Желткова	1
Raymond Chan	1
A. B. Samokhin	1
Ng Michael	1
Mikhail A. Bochev	1
Franklin Luk	1
Х. С. Шихалиев	1
Michael K. Ng	1
Liqun Qi	1
Xiaojun Chen	1
S. A. KRASNOV	1
Zvi Grossman	1
Tamara G. Kolda	1
A. A. Sorokin	1
Vadim Olshevsky	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	TT-cross approximation for multidimensional arrays	2009	Ivan Oseledets Eugene E. Tyrtyshnikov	12
+	A theory of pseudoskeleton approximations	1997	S. A. Goreinov Е. Е. Тыртышников Н. Л. Замарашкин	12
+	Tensor-Train Decomposition	2011	Ivan Oseledets	11
+	How to Find a Good Submatrix	2010	S. A. Goreinov Ivan Oseledets Dmitry Savostyanov E. E. Tyrtyshnikov Н. Л. Замарашкин	9
+	The maximal-volume concept in approximation by low-rank matrices	2001	S. A. Goreinov Е. Е. Тыртышников	8
+	Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions	2009	Ivan Oseledets E. E. Tyrtyshnikov	7
+	Kronecker-product approximations for some function-related matrices	2003	Е. Е. Тыртышников	7
+ PDF Chat	A Multilinear Singular Value Decomposition	2000	Lieven De Lathauwer Bart De Moor Joos Vandewalle	7
+	Hierarchical Kronecker tensor-product approximations	2005	Wolfgang Hackbusch Boris N. Khoromskij E. E. Tyrtyshnikov	6
+	Tensor approximations of matrices generated by asymptotically smooth functions	2003	Е. Е. Тыртышников	6
+ PDF Chat	Size distribution of particles in Saturn’s rings from aggregation and fragmentation	2015	Nikolai V. Brilliantov P. L. Krapivsky Anna Bodrova F. Spahn Hisao Hayakawa Vladimir I. Stadnichuk Jürgen Schmidt	6
+	Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time	2008	Ivan Oseledets D. V. Savostianov E. E. Tyrtyshnikov	5
+ PDF Chat	Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem	2008	Vin de Silva Lek‐Heng Lim	5
+	Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition	1970	J. Douglas Carroll Jih-Jie Chang	5
+	A computationally efficient technique for the solution of multi-dimensional PBMs of granulation via tensor decomposition	2013	Anwesha Chaudhury Ivan Oseledets Rohit Ramachandran	5
+	Verification of the cross 3D algorithm on quantum chemistry data	2008	Heinz‐Jürgen Flad Boris N. Khoromskij Dmitry Savostyanov Е. Е. Тыртышников	5
+	Numerical operator calculus in higher dimensions	2002	Gregory Beylkin Martin J. Mohlenkamp	5
+	Approximation with Kronecker Products	1993	Charles F. Van Loan Nikos Pitsianis	5
+	Approximation of coalescence integrals in population balance models with local mass conservation	2007	Wolfgang Hackbusch	4
+	On the Best Rank-1 and Rank-(<i>R</i><sub>1</sub> ,<i>R</i><sub>2</sub> ,. . .,<i>R<sub>N</sub></i>) Approximation of Higher-Order Tensors	2000	Lieven De Lathauwer Bart De Moor Joos Vandewalle	4
+ PDF Chat	Linear algebra for tensor problems	2009	Ivan Oseledets Dmitry Savostyanov E. E. Tyrtyshnikov	4
+ PDF Chat	Multigrid Accelerated Tensor Approximation of Function Related Multidimensional Arrays	2009	Boris N. Khoromskij Venera Khoromskaia	4
+ PDF Chat	Scaling theory and exactly solved models in the kinetics of irreversible aggregation	2003	F. Leyvraz	4
+	Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-model factor analysis	1970	Richard A. Harshman	4
+	Combining Kronecker Product Approximation with Discrete Wavelet Transforms to Solve Dense, Function-Related Linear Systems	2003	Judith M. Ford Eugene E. Tyrtyshnikov	4
+ PDF Chat	Algorithms for Numerical Analysis in High Dimensions	2005	Gregory Beylkin Martin J. Mohlenkamp	4
+ PDF Chat	Approximate iterations for structured matrices	2008	Wolfgang Hackbusch Boris N. Khoromskij Е. Е. Тыртышников	4
+ PDF Chat	Driven Brownian coagulation of polymers	2012	P. L. Krapivsky Colm Connaughton	4
+	Fast adaptive interpolation of multi-dimensional arrays in tensor train format	2011	Dmitry Savostyanov Ivan Oseledets	3
+	Application of the three‐way decomposition for matrix compression	2002	Ilghiz Ibraghimov	3
+	On the Efficient Evaluation of Coalescence Integrals in Population Balance Models	2006	Wolfgang Hackbusch	3
+	Smoluchowski Equation	2011		3
+	Tensor Decompositions and Applications	2009	Tamara G. Kolda Brett W. Bader	3
+	Approximate inversion of matrices in the process of solving a hypersingular integral equation	2005	Ivan Oseledets E. E. Tyrtyshnikov	3
+	Tensor train versus Monte Carlo for the multicomponent Smoluchowski coagulation equation	2016	С. А. Матвеев Dmitry A. Zheltkov Е. Е. Тыртышников A. P. Smirnov	3
+	Nonnegative Tensor Train Decompositions for Multi-domain Feature Extraction and Clustering	2016	Namgil Lee Anh Huy Phan Fengyu Cong Andrzej Cichocki	3
+	A unifying approach to some old and new theorems on distribution and clustering	1996	Evgenij E. Tyrtyshnikov	3
+ PDF Chat	Solution of Linear Systems and Matrix Inversion in the TT-Format	2012	Ivan Oseledets Sergey Dolgov	3
+	Cross approximation in tensor electron density computations	2009	Ivan Oseledets Dmitry Savostyanov E. E. Tyrtyshnikov	3
+ PDF Chat	Steady oscillations in aggregation-fragmentation processes	2018	Nikolai V. Brilliantov Wendy Otieno С. А. Матвеев А. П. Смирнов Е. Е. Тыртышников P. L. Krapivsky	3
+ PDF Chat	Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-variate Functions	2005	Wolfgang Hackbusch Boris N. Khoromskij	3
+	Tensor properties of multilevel Toeplitz and related matrices	2005	Vadim Olshevsky Ivan Oseledets Eugene E. Tyrtyshnikov	3
+ PDF Chat	Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions	2014	Sergey Dolgov Dmitry Savostyanov	3
+	Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics	1977	Joseph B. Kruskal	3
+ PDF Chat	Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems	2004	I. P. Gavrilyuk Wolfgang Hackbusch Boris N. Khoromskij	2
+	WAVEFORM RELAXATION: THEORY AND PRACTICE	1985	Jacob White Fadwa Odeh Alberto Sangiovanni‐Vincentelli Albert E. Ruehli	2
+	A Krylov projection method for systems of ODEs	1997	Elena Celledoni Igor Moret	2
+ PDF Chat	The Timescale of Runaway Stochastic Coagulation	2001	Leonid Malyshkin	2
+	Rational Krylov Methods for Operator Functions	2010	Stefan Güttel	2
+	Two polynomial methods of calculating functions of symmetric matrices	1989	Vladimir Druskin Leonid Knizhnerman	2