Eugene E. Tyrtyshnikov

According to our database1, Eugene E. Tyrtyshnikov authored at least 47 papers between 1990 and 2020.

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2020
A residual concept for Krylov subspace evaluation of the 𝓁 matrix function.
CoRR, 2020

Model reduction in Smoluchowski-type equations.
CoRR, 2020

2019
Newton method for stationary and quasi-stationary problems for Smoluchowski-type equations.
J. Comput. Phys., 2019

Supercomputer Modelling of Spatially-heterogeneous Coagulation using MPI and CUDA.
Proceedings of the Supercomputing, 2019

Application of the Global Optimization Methods for Solving the Parameter Estimation Problem in Mathematical Immunology.
Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

Nonnegative Tensor Train Factorizations and Some Applications.
Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

2018
Anderson acceleration method of finding steady-state particle size distribution for a wide class of aggregation-fragmentation models.
Comput. Phys. Commun., 2018

2017
Tensor Train Global Optimization: Application to Docking in the Configuration Space with a Large Number of Dimensions.
Proceedings of the Supercomputing, 2017

2016
Tensor train versus Monte Carlo for the multicomponent Smoluchowski coagulation equation.
J. Comput. Phys., 2016

Fast and Accurate Finite-difference Method Solving Multicomponent Smoluchowski Coagulation Equation with Source and Sink Terms.
Proceedings of the International Conference on Computational Science 2016, 2016

2015
A fast numerical method for the Cauchy problem for the Smoluchowski equation.
J. Comput. Phys., 2015

2014
Low-rank approximation in the numerical modeling of the Farley-Buneman instability in ionospheric plasma.
J. Comput. Phys., 2014

Superfast solution of linear convolutional Volterra equations using QTT approximation.
J. Comput. Appl. Math., 2014

Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation.
Comput. Math. Appl., 2014

Iterative Methods for Linear Systems - Theory and Applications.
SIAM, ISBN: 978-1-61197-345-7, 2014

2013
Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity.
SIAM J. Sci. Comput., 2013

2012
Fast truncation of mode ranks for bilinear tensor operations.
Numer. Linear Algebra Appl., 2012

Structured matrices and tensors.
Numer. Linear Algebra Appl., 2012

Use of tensor formats in elliptic eigenvalue problems.
Numer. Linear Algebra Appl., 2012

2011
Algebraic Wavelet Transform via Quantics Tensor Train Decomposition.
SIAM J. Sci. Comput., 2011

Tensor-Train Ranks for Matrices and Their Inverses.
Comput. Methods Appl. Math., 2011

Preface to the special issue, CMAM 2011, no. 3.
Comput. Methods Appl. Math., 2011

2010
A Fast Algorithm for Updating and Downsizing the Dominant Kernel Principal Components.
SIAM J. Matrix Anal. Appl., 2010

Decay in Functions of Multiband Matrices.
SIAM J. Matrix Anal. Appl., 2010

Cross approximation in tensor electron density computations.
Numer. Linear Algebra Appl., 2010

Tensor ranks for the inversion of tensor-product binomials.
J. Comput. Appl. Math., 2010

2009
Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions.
SIAM J. Sci. Comput., 2009

Fast Simultaneous Orthogonal Reduction to Triangular Matrices.
SIAM J. Matrix Anal. Appl., 2009

Optimal in-place transposition of rectangular matrices.
J. Complex., 2009

Linear algebra for tensor problems.
Computing, 2009

2008
Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time.
SIAM J. Matrix Anal. Appl., 2008

Approximate iterations for structured matrices.
Numerische Mathematik, 2008

2006
Parallel iterative multilevel solution of mixed finite element systems for scalar equations.
Concurr. Comput. Pract. Exp., 2006

2005
Some Remarks on the Elman Estimate for GMRES.
SIAM J. Matrix Anal. Appl., 2005

Structured preconditioners for operator equations.
Numer. Linear Algebra Appl., 2005

Solving linear systems using wavelet compression combined with Kronecker product approximation.
Numer. Algorithms, 2005

Hierarchical Kronecker tensor-product approximations.
J. Num. Math., 2005

2003
Combining Kronecker Product Approximation with Discrete Wavelet Transforms to Solve Dense, Function-Related Linear Systems.
SIAM J. Sci. Comput., 2003

How to prove that a preconditioner cannot be superlinear.
Math. Comput., 2003

2000
Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear.
SIAM J. Matrix Anal. Appl., 2000

Incomplete Cross Approximation in the Mosaic-Skeleton Method.
Computing, 2000

1999
Mosaic Ranks for Weakly Semiseparable Matrices.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1999

1997
Matrix-free iterative solution strategies for large dense linear systems.
Numer. Linear Algebra Appl., 1997

1996
Which circulant preconditioner is better?
Math. Comput., 1996

Mosaic Ranks and Skeletons.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996

1992
Optimal and Superoptimal Circulant Preconditioners.
SIAM J. Matrix Anal. Appl., 1992

1990
New approaches to deriving parallel algorithms.
Parallel Comput., 1990


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