Eugene E. Tyrtyshnikov

According to our database, Eugene E. Tyrtyshnikov authored at least 51 papers between 1990 and 2022.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of three.

2022

On the algorithm of best approximation by low rank matrices in the Chebyshev norm.

Stanislav Morozov, Nikolai L. Zamarashkin, Eugene Tyrtyshnikov

CoRR, 2022

2021

Residual and Restarting in Krylov Subspace Evaluation of the φ Function.

Mike A. Botchev, Leonid Knizhnerman, Eugene E. Tyrtyshnikov

SIAM J. Sci. Comput., 2021

Tensor-Train Numerical Integration of Multivariate Functions with Singularities.

Lev I. Vysotsky, Alexander V. Smirnov, Eugene E. Tyrtyshnikov

CoRR, 2021

2020

A residual concept for Krylov subspace evaluation of the 𝓁 matrix function.

Mike A. Botchev, Leonid A. Knizhnerman, Eugene E. Tyrtyshnikov

CoRR, 2020

Model reduction in Smoluchowski-type equations.

Ivan V. Timokhin, Sergey A. Matveev, Eugene E. Tyrtyshnikov, Alexander P. Smirnov

CoRR, 2020

2019

Newton method for stationary and quasi-stationary problems for Smoluchowski-type equations.

Ivan V. Timokhin, Sergey A. Matveev, Nana Siddharth, Eugene E. Tyrtyshnikov, Alexander P. Smirnov, Nikolai V. Brilliantov

J. Comput. Phys., 2019

Supercomputer Modelling of Spatially-heterogeneous Coagulation using MPI and CUDA.

Rishat R. Zagidullin, Alexander P. Smirnov, Sergey A. Matveev, Eugene Tyrtyshnikov

Proceedings of the Supercomputing, 2019

Application of the Global Optimization Methods for Solving the Parameter Estimation Problem in Mathematical Immunology.

Valerya V. Zheltkova, Dmitry A. Zheltkov, Gennady Bocharov, Eugene Tyrtyshnikov

Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

Nonnegative Tensor Train Factorizations and Some Applications.

Elena Shcherbakova, Eugene Tyrtyshnikov

Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

2018

Parallel Numerical Algorithm for Solving Advection Equation for Coagulating Particles.

Sergey A. Matveev, Rishat R. Zagidullin, Alexander P. Smirnov, Eugene E. Tyrtyshnikov

Supercomput. Front. Innov., 2018

Anderson acceleration method of finding steady-state particle size distribution for a wide class of aggregation-fragmentation models.

Sergey A. Matveev, V. I. Stadnichuk, E. E. Tyrtyshnikov, Alexander P. Smirnov, N. V. Ampilogova, Nikolai V. Brilliantov

Comput. Phys. Commun., 2018

2017

Tensor Train Global Optimization: Application to Docking in the Configuration Space with a Large Number of Dimensions.

Alexey V. Sulimov, Dmitry A. Zheltkov, Igor V. Oferkin, Danil C. Kutov, Ekaterina V. Katkova, Eugene E. Tyrtyshnikov, Vladimir B. Sulimov

Proceedings of the Supercomputing, 2017

2016

Tensor train versus Monte Carlo for the multicomponent Smoluchowski coagulation equation.

Sergey A. Matveev, Dmitry A. Zheltkov, Eugene E. Tyrtyshnikov, Alexander P. Smirnov

J. Comput. Phys., 2016

Fast and Accurate Finite-difference Method Solving Multicomponent Smoluchowski Coagulation Equation with Source and Sink Terms.

Alexander P. Smirnov, Sergey A. Matveev, Dmitry A. Zheltkov, Eugene E. Tyrtyshnikov

Proceedings of the International Conference on Computational Science 2016, 2016

2015

A fast numerical method for the Cauchy problem for the Smoluchowski equation.

Sergey A. Matveev, Alexander P. Smirnov, E. E. Tyrtyshnikov

J. Comput. Phys., 2015

2014

Low-rank approximation in the numerical modeling of the Farley-Buneman instability in ionospheric plasma.

Sergey V. Dolgov, Alexander P. Smirnov, E. E. Tyrtyshnikov

J. Comput. Phys., 2014

Superfast solution of linear convolutional Volterra equations using QTT approximation.

Jason A. Roberts, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov

J. Comput. Appl. Math., 2014

Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation.

Mike A. Botchev, Ivan V. Oseledets, Eugene E. Tyrtyshnikov

Comput. Math. Appl., 2014

Iterative Methods for Linear Systems - Theory and Applications.

Maxim A. Olshanskii, Evgenii Evgenvich Tyrtyshnikov

SIAM, ISBN: 978-1-61197-345-7, 2014

2013

Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity.

Vladimir A. Kazeev, Boris N. Khoromskij, Eugene E. Tyrtyshnikov

SIAM J. Sci. Comput., 2013

2012

Fast truncation of mode ranks for bilinear tensor operations.

Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov, Nickolai L. Zamarashkin

Numer. Linear Algebra Appl., 2012

Structured matrices and tensors.

Michael K. Ng, Raymond H. Chan, Xiaojun Chen, Liqun Qi, Franklin T. Luk, Eugene Tyrtyshnikov

Numer. Linear Algebra Appl., 2012

Use of tensor formats in elliptic eigenvalue problems.

Wolfgang Hackbusch, Boris N. Khoromskij, Stefan A. Sauter, Eugene E. Tyrtyshnikov

Numer. Linear Algebra Appl., 2012

2011

Algebraic Wavelet Transform via Quantics Tensor Train Decomposition.

Ivan V. Oseledets, Eugene E. Tyrtyshnikov

SIAM J. Sci. Comput., 2011

Tensor-Train Ranks for Matrices and Their Inverses.

Ivan V. Oseledets, Eugene E. Tyrtyshnikov, Nickolai L. Zamarashkin

Comput. Methods Appl. Math., 2011

Preface to the special issue, CMAM 2011, no. 3.

Ivan P. Gavrilyuk, Boris N. Khoromskij, Eugene E. Tyrtyshnikov

Comput. Methods Appl. Math., 2011

2010

A Fast Algorithm for Updating and Downsizing the Dominant Kernel Principal Components.

Nicola Mastronardi, Eugene E. Tyrtyshnikov, Paul Van Dooren

SIAM J. Matrix Anal. Appl., 2010

Decay in Functions of Multiband Matrices.

Nicola Mastronardi, Michael K. Ng, E. E. Tyrtyshnikov

SIAM J. Matrix Anal. Appl., 2010

Cross approximation in tensor electron density computations.

Ivan V. Oseledets, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov

Numer. Linear Algebra Appl., 2010

Tensor ranks for the inversion of tensor-product binomials.

Eugene Tyrtyshnikov

J. Comput. Appl. Math., 2010

2009

Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions.

Ivan V. Oseledets, Eugene E. Tyrtyshnikov

SIAM J. Sci. Comput., 2009

Fast Simultaneous Orthogonal Reduction to Triangular Matrices.

Ivan V. Oseledets, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov

SIAM J. Matrix Anal. Appl., 2009

Optimal in-place transposition of rectangular matrices.

Alexey Tret'yakov, E. E. Tyrtyshnikov

J. Complex., 2009

Linear algebra for tensor problems.

Ivan V. Oseledets, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov

Computing, 2009

2008

Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time.

Ivan V. Oseledets, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov

SIAM J. Matrix Anal. Appl., 2008

Approximate iterations for structured matrices.

Wolfgang Hackbusch, Boris N. Khoromskij, Eugene E. Tyrtyshnikov

Numerische Mathematik, 2008

2006

Parallel iterative multilevel solution of mixed finite element systems for scalar equations.

Vadim N. Chugunov, Daniil Svyatskiy, Eugene Tyrtyshnikov, Yuri V. Vassilevski

Concurr. Comput. Pract. Exp., 2006

2005

Some Remarks on the Elman Estimate for GMRES.

Bernhard Beckermann, Sergei A. Goreinov, E. E. Tyrtyshnikov

SIAM J. Matrix Anal. Appl., 2005

Structured preconditioners for operator equations.

Eugene Tyrtyshnikov

Numer. Linear Algebra Appl., 2005

Solving linear systems using wavelet compression combined with Kronecker product approximation.

Judith M. Ford, Eugene E. Tyrtyshnikov

Numer. Algorithms, 2005

Hierarchical Kronecker tensor-product approximations.

Wolfgang Hackbusch, Boris N. Khoromskij, Eugene E. Tyrtyshnikov

J. Num. Math., 2005

2003

Combining Kronecker Product Approximation with Discrete Wavelet Transforms to Solve Dense, Function-Related Linear Systems.

Judith M. Ford, Eugene E. Tyrtyshnikov

SIAM J. Sci. Comput., 2003

How to prove that a preconditioner cannot be superlinear.

Stefano Serra-Capizzano, Eugene E. Tyrtyshnikov

Math. Comput., 2003

2000

Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear.

Stefano Serra-Capizzano, Eugene E. Tyrtyshnikov

SIAM J. Matrix Anal. Appl., 2000

Incomplete Cross Approximation in the Mosaic-Skeleton Method.

Eugene Tyrtyshnikov

Computing, 2000

1999

Mosaic Ranks for Weakly Semiseparable Matrices.

Evgenij E. Tyrtyshnikov

Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1999

1997

Matrix-free iterative solution strategies for large dense linear systems.

Sergei A. Goreinov, E. E. Tyrtyshnikov, Alex Yu. Yeremin

Numer. Linear Algebra Appl., 1997

1996

Which circulant preconditioner is better?

Vasily Strela, Evgenij E. Tyrtyshnikov

Math. Comput., 1996

Mosaic Ranks and Skeletons.

Eugene Tyrtyshnikov

Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996

1992

Optimal and Superoptimal Circulant Preconditioners.

Evgenij E. Tyrtyshnikov

SIAM J. Matrix Anal. Appl., 1992

1990

New approaches to deriving parallel algorithms.

Evgenij E. Tyrtyshnikov

Parallel Comput., 1990