Eugene E. Tyrtyshnikov

29 papers Misc 1Journal 27Unranked 1

Year	Rank	Type	Title / Venue / Authors
2021	J	`jnl`	Residual and Restarting in Krylov Subspace Evaluation of the φ Function. SIAM J. Sci. Comput. Mike A. Botchev, Leonid Knizhnerman, Eugene E. Tyrtyshnikov
2021	J	`jnl`	Tensor-Train Numerical Integration of Multivariate Functions with Singularities. CoRR Lev I. Vysotsky, Alexander V. Smirnov, Eugene E. Tyrtyshnikov
2020	J	`jnl`	A residual concept for Krylov subspace evaluation of the 𝓁 matrix function. CoRR Mike A. Botchev, Leonid A. Knizhnerman, Eugene E. Tyrtyshnikov
2020	J	`jnl`	Model reduction in Smoluchowski-type equations. CoRR Ivan V. Timokhin, Sergey A. Matveev, Eugene E. Tyrtyshnikov, Alexander P. Smirnov
2019	J	`jnl`	Newton method for stationary and quasi-stationary problems for Smoluchowski-type equations. J. Comput. Phys. Ivan V. Timokhin, Sergey A. Matveev, Nana Siddharth, Eugene E. Tyrtyshnikov, Alexander P. Smirnov, Nikolai V. Brilliantov
2018	J	`jnl`	Parallel Numerical Algorithm for Solving Advection Equation for Coagulating Particles. Supercomput. Front. Innov. Sergey A. Matveev, Rishat R. Zagidullin, Alexander P. Smirnov, Eugene E. Tyrtyshnikov
2017	—	`conf`	Tensor Train Global Optimization: Application to Docking in the Configuration Space with a Large Number of Dimensions. RuSCDays Alexey V. Sulimov, Dmitry A. Zheltkov, Igor V. Oferkin, Danil C. Kutov, Ekaterina V. Katkova, Eugene E. Tyrtyshnikov, Vladimir B. Sulimov
2016	Misc	`conf`	Fast and Accurate Finite-difference Method Solving Multicomponent Smoluchowski Coagulation Equation with Source and Sink Terms. ICCS Alexander P. Smirnov, Sergey A. Matveev, Dmitry A. Zheltkov, Eugene E. Tyrtyshnikov
2016	J	`jnl`	Tensor train versus Monte Carlo for the multicomponent Smoluchowski coagulation equation. J. Comput. Phys. Sergey A. Matveev, Dmitry A. Zheltkov, Eugene E. Tyrtyshnikov, Alexander P. Smirnov
2014	J	`jnl`	Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation. Comput. Math. Appl. Mike A. Botchev, Ivan V. Oseledets, Eugene E. Tyrtyshnikov
2014	J	`jnl`	Superfast solution of linear convolutional Volterra equations using QTT approximation. J. Comput. Appl. Math. Jason A. Roberts, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov
2013	J	`jnl`	Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity. SIAM J. Sci. Comput. Vladimir A. Kazeev, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
2012	J	`jnl`	Fast truncation of mode ranks for bilinear tensor operations. Numer. Linear Algebra Appl. Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov, Nickolai L. Zamarashkin
2012	J	`jnl`	Use of tensor formats in elliptic eigenvalue problems. Numer. Linear Algebra Appl. Wolfgang Hackbusch, Boris N. Khoromskij, Stefan A. Sauter, Eugene E. Tyrtyshnikov
2011	J	`jnl`	Algebraic Wavelet Transform via Quantics Tensor Train Decomposition. SIAM J. Sci. Comput. Ivan V. Oseledets, Eugene E. Tyrtyshnikov
2011	J	`jnl`	Preface to the special issue, CMAM 2011, no. 3. Comput. Methods Appl. Math. Ivan P. Gavrilyuk, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
2011	J	`jnl`	Tensor-Train Ranks for Matrices and Their Inverses. Comput. Methods Appl. Math. Ivan V. Oseledets, Eugene E. Tyrtyshnikov, Nickolai L. Zamarashkin
2010	J	`jnl`	A Fast Algorithm for Updating and Downsizing the Dominant Kernel Principal Components. SIAM J. Matrix Anal. Appl. Nicola Mastronardi, Eugene E. Tyrtyshnikov, Paul Van Dooren
2010	J	`jnl`	Cross approximation in tensor electron density computations. Numer. Linear Algebra Appl. Ivan V. Oseledets, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov
2009	J	`jnl`	Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions. SIAM J. Sci. Comput. Ivan V. Oseledets, Eugene E. Tyrtyshnikov
2009	J	`jnl`	Fast Simultaneous Orthogonal Reduction to Triangular Matrices. SIAM J. Matrix Anal. Appl. Ivan V. Oseledets, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov
2009	J	`jnl`	Linear algebra for tensor problems. Computing Ivan V. Oseledets, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov
2008	J	`jnl`	Approximate iterations for structured matrices. Numerische Mathematik Wolfgang Hackbusch, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
2008	J	`jnl`	Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time. SIAM J. Matrix Anal. Appl. Ivan V. Oseledets, Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov
2005	J	`jnl`	Hierarchical Kronecker tensor-product approximations. J. Num. Math. Wolfgang Hackbusch, Boris N. Khoromskij, Eugene E. Tyrtyshnikov
2005	J	`jnl`	Solving linear systems using wavelet compression combined with Kronecker product approximation. Numer. Algorithms Judith M. Ford, Eugene E. Tyrtyshnikov
2003	J	`jnl`	Combining Kronecker Product Approximation with Discrete Wavelet Transforms to Solve Dense, Function-Related Linear Systems. SIAM J. Sci. Comput. Judith M. Ford, Eugene E. Tyrtyshnikov
2003	J	`jnl`	How to prove that a preconditioner cannot be superlinear. Math. Comput. Stefano Serra-Capizzano, Eugene E. Tyrtyshnikov
2000	J	`jnl`	Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear. SIAM J. Matrix Anal. Appl. Stefano Serra-Capizzano, Eugene E. Tyrtyshnikov