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ORCIDEugene E. Tyrtyshnikov
Person information
- affiliation: Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia
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Books and Theses
- 2014
[b1]Maxim A. Olshanskii, Evgenii Evgenvich Tyrtyshnikov:
Iterative Methods for Linear Systems - Theory and Applications. SIAM 2014, ISBN 978-1-61197-345-7, pp. I-XVI, 1-247
Journal Articles
- 2021
- [j39]Mike A. Botchev, Leonid Knizhnerman
, Eugene E. Tyrtyshnikov:
Residual and Restarting in Krylov Subspace Evaluation of the φ Function. SIAM J. Sci. Comput. 43(6): A3733-A3759 (2021) - 2019
- [j38]Ivan V. Timokhin, Sergey A. Matveev, Nana Siddharth, Eugene E. Tyrtyshnikov, Alexander P. Smirnov, Nikolai V. Brilliantov:
Newton method for stationary and quasi-stationary problems for Smoluchowski-type equations. J. Comput. Phys. 382: 124-137 (2019) - 2018
- [j37]Sergey A. Matveev, V. I. Stadnichuk, E. E. Tyrtyshnikov, Alexander P. Smirnov, N. V. Ampilogova, Nikolai V. Brilliantov:
Anderson acceleration method of finding steady-state particle size distribution for a wide class of aggregation-fragmentation models. Comput. Phys. Commun. 224: 154-163 (2018) - [j36]Sergey A. Matveev, Rishat R. Zagidullin, Alexander P. Smirnov, Eugene E. Tyrtyshnikov:
Parallel Numerical Algorithm for Solving Advection Equation for Coagulating Particles. Supercomput. Front. Innov. 5(2): 43-54 (2018) - 2016
- [j35]Sergey A. Matveev, Dmitry A. Zheltkov, Eugene E. Tyrtyshnikov, Alexander P. Smirnov:
Tensor train versus Monte Carlo for the multicomponent Smoluchowski coagulation equation. J. Comput. Phys. 316: 164-179 (2016) - 2015
- [j34]Sergey A. Matveev, Alexander P. Smirnov, E. E. Tyrtyshnikov:
A fast numerical method for the Cauchy problem for the Smoluchowski equation. J. Comput. Phys. 282: 23-32 (2015) - 2014
- [j33]Mike A. Botchev, Ivan V. Oseledets, Eugene E. Tyrtyshnikov:
Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation. Comput. Math. Appl. 67(12): 2088-2098 (2014) - [j32]Jason A. Roberts, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov:
Superfast solution of linear convolutional Volterra equations using QTT approximation. J. Comput. Appl. Math. 260: 434-448 (2014) - [j31]Sergey V. Dolgov, Alexander P. Smirnov, E. E. Tyrtyshnikov:
Low-rank approximation in the numerical modeling of the Farley-Buneman instability in ionospheric plasma. J. Comput. Phys. 263: 268-282 (2014) - 2013
- [j30]Vladimir A. Kazeev, Boris N. Khoromskij, Eugene E. Tyrtyshnikov:
Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity. SIAM J. Sci. Comput. 35(3) (2013) - 2012
- [j29]Michael K. Ng, Raymond H. Chan, Xiaojun Chen, Liqun Qi, Franklin T. Luk, Eugene Tyrtyshnikov:
Structured matrices and tensors. Numer. Linear Algebra Appl. 19(1): 1-2 (2012) - [j28]Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov, Nickolai L. Zamarashkin:
Fast truncation of mode ranks for bilinear tensor operations. Numer. Linear Algebra Appl. 19(1): 103-111 (2012) - [j27]Wolfgang Hackbusch, Boris N. Khoromskij, Stefan A. Sauter, Eugene E. Tyrtyshnikov:
Use of tensor formats in elliptic eigenvalue problems. Numer. Linear Algebra Appl. 19(1): 133-151 (2012) - 2011
- [j26]Ivan P. Gavrilyuk, Boris N. Khoromskij, Eugene E. Tyrtyshnikov:
Preface to the special issue, CMAM 2011, no. 3. Comput. Methods Appl. Math. 11(3): 272 (2011) - [j25]Ivan V. Oseledets, Eugene E. Tyrtyshnikov, Nickolai L. Zamarashkin:
Tensor-Train Ranks for Matrices and Their Inverses. Comput. Methods Appl. Math. 11(3): 394-403 (2011) - [j24]Ivan V. Oseledets, Eugene E. Tyrtyshnikov:
Algebraic Wavelet Transform via Quantics Tensor Train Decomposition. SIAM J. Sci. Comput. 33(3): 1315-1328 (2011) - 2010
- [j23]Eugene Tyrtyshnikov:
Tensor ranks for the inversion of tensor-product binomials. J. Comput. Appl. Math. 234(11): 3170-3174 (2010) - [j22]Ivan V. Oseledets, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov:
Cross approximation in tensor electron density computations. Numer. Linear Algebra Appl. 17(6): 935-952 (2010) - [j21]Nicola Mastronardi, Eugene E. Tyrtyshnikov, Paul Van Dooren:
A Fast Algorithm for Updating and Downsizing the Dominant Kernel Principal Components. SIAM J. Matrix Anal. Appl. 31(5): 2376-2399 (2010) - [j20]Nicola Mastronardi, Michael K. Ng, E. E. Tyrtyshnikov:
Decay in Functions of Multiband Matrices. SIAM J. Matrix Anal. Appl. 31(5): 2721-2737 (2010) - 2009
- [j19]Ivan V. Oseledets, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov:
Linear algebra for tensor problems. Computing 85(3): 169-188 (2009) - [j18]Alexey Tret'yakov, E. E. Tyrtyshnikov:
Optimal in-place transposition of rectangular matrices. J. Complex. 25(4): 377-384 (2009) - [j17]Ivan V. Oseledets, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov:
Fast Simultaneous Orthogonal Reduction to Triangular Matrices. SIAM J. Matrix Anal. Appl. 31(2): 316-330 (2009) - [j16]Ivan V. Oseledets, Eugene E. Tyrtyshnikov:
Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions. SIAM J. Sci. Comput. 31(5): 3744-3759 (2009) - 2008
- [j15]Wolfgang Hackbusch, Boris N. Khoromskij, Eugene E. Tyrtyshnikov:
Approximate iterations for structured matrices. Numerische Mathematik 109(3): 365-383 (2008) - [j14]Ivan V. Oseledets, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov:
Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time. SIAM J. Matrix Anal. Appl. 30(3): 939-956 (2008) - 2006
- [j13]Vadim N. Chugunov, Daniil Svyatskiy, Eugene Tyrtyshnikov, Yuri V. Vassilevski:
Parallel iterative multilevel solution of mixed finite element systems for scalar equations. Concurr. Comput. Pract. Exp. 18(5): 501-518 (2006) - 2005
- [j12]Wolfgang Hackbusch, Boris N. Khoromskij, Eugene E. Tyrtyshnikov:
Hierarchical Kronecker tensor-product approximations. J. Num. Math. 13(2): 119-156 (2005) - [j11]Judith M. Ford, Eugene E. Tyrtyshnikov:
Solving linear systems using wavelet compression combined with Kronecker product approximation. Numer. Algorithms 40(2): 125-135 (2005) - [j10]Eugene Tyrtyshnikov:
Structured preconditioners for operator equations. Numer. Linear Algebra Appl. 12(2-3): 251-259 (2005) - [j9]Bernhard Beckermann, Sergei A. Goreinov, E. E. Tyrtyshnikov:
Some Remarks on the Elman Estimate for GMRES. SIAM J. Matrix Anal. Appl. 27(3): 772-778 (2005) - 2003
- [j8]Stefano Serra Capizzano, Eugene E. Tyrtyshnikov:
How to prove that a preconditioner cannot be superlinear. Math. Comput. 72(243): 1305-1316 (2003) - [j7]Judith M. Ford, Eugene E. Tyrtyshnikov:
Combining Kronecker Product Approximation with Discrete Wavelet Transforms to Solve Dense, Function-Related Linear Systems. SIAM J. Sci. Comput. 25(3): 961-981 (2003) - 2000
- [j6]Eugene Tyrtyshnikov:
Incomplete Cross Approximation in the Mosaic-Skeleton Method. Computing 64(4): 367-380 (2000) - [j5]Stefano Serra Capizzano, Eugene E. Tyrtyshnikov:
Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear. SIAM J. Matrix Anal. Appl. 21(2): 431-439 (2000) - 1997
- [j4]Sergei A. Goreinov, E. E. Tyrtyshnikov, Alex Yu. Yeremin:
Matrix-free iterative solution strategies for large dense linear systems. Numer. Linear Algebra Appl. 4(4): 273-294 (1997) - 1996
- [j3]Vasily Strela, Evgenij E. Tyrtyshnikov:
Which circulant preconditioner is better? Math. Comput. 65(213): 137-150 (1996) - 1992
- [j2]Evgenij E. Tyrtyshnikov:
Optimal and Superoptimal Circulant Preconditioners. SIAM J. Matrix Anal. Appl. 13(2): 459-473 (1992) - 1990
- [j1]Evgenij E. Tyrtyshnikov:
New approaches to deriving parallel algorithms. Parallel Comput. 15(1-3): 261-265 (1990)
Conference and Workshop Papers
- 2019
- [c7]Elena Shcherbakova, Eugene Tyrtyshnikov:
Nonnegative Tensor Train Factorizations and Some Applications. LSSC 2019: 156-164 - [c6]Valerya V. Zheltkova, Dmitry A. Zheltkov, Gennady Bocharov, Eugene Tyrtyshnikov:
Application of the Global Optimization Methods for Solving the Parameter Estimation Problem in Mathematical Immunology. LSSC 2019: 203-209 - [c5]Rishat R. Zagidullin, Alexander P. Smirnov, Sergey A. Matveev, Eugene Tyrtyshnikov:
Supercomputer Modelling of Spatially-heterogeneous Coagulation using MPI and CUDA. RuSCDays 2019: 403-414 - 2017
- [c4]Alexey V. Sulimov, Dmitry A. Zheltkov, Igor V. Oferkin, Danil C. Kutov, Ekaterina V. Katkova, Eugene E. Tyrtyshnikov, Vladimir B. Sulimov:
Tensor Train Global Optimization: Application to Docking in the Configuration Space with a Large Number of Dimensions. RuSCDays 2017: 151-167 - 2016
- [c3]Alexander P. Smirnov, Sergey A. Matveev, Dmitry A. Zheltkov, Eugene E. Tyrtyshnikov:
Fast and Accurate Finite-difference Method Solving Multicomponent Smoluchowski Coagulation Equation with Source and Sink Terms. ICCS 2016: 2141-2146 - 1999
- [c2]Evgenij E. Tyrtyshnikov:
Mosaic Ranks for Weakly Semiseparable Matrices. LSSC 1999: 36-41 - 1996
- [c1]Eugene Tyrtyshnikov:
Mosaic Ranks and Skeletons. WNAA 1996: 505-516
Informal and Other Publications
- 2022
- [i5]Stanislav Morozov, Nikolai L. Zamarashkin, Eugene Tyrtyshnikov:
On the algorithm of best approximation by low rank matrices in the Chebyshev norm. CoRR abs/2201.12301 (2022) - 2021
- [i4]Lev I. Vysotsky, Alexander V. Smirnov, Eugene E. Tyrtyshnikov:
Tensor-Train Numerical Integration of Multivariate Functions with Singularities. CoRR abs/2103.12129 (2021) - 2020
- [i3]Ivan V. Timokhin, Sergey A. Matveev, Eugene E. Tyrtyshnikov, Alexander P. Smirnov:
Model reduction in Smoluchowski-type equations. CoRR abs/2008.09439 (2020) - [i2]Mike A. Botchev, Leonid A. Knizhnerman, Eugene E. Tyrtyshnikov:
A residual concept for Krylov subspace evaluation of the 𝓁 matrix function. CoRR abs/2010.08494 (2020) - 2013
- [i1]Sergey V. Dolgov, Alexander P. Smirnov, E. E. Tyrtyshnikov:
Low-rank approximation in the numerical modeling of the Farley-Buneman instability in ionospheric plasma. CoRR abs/1308.5952 (2013)
Coauthor Index
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