Dmitry Savostyanov
TitleCited byYear
Alternating minimal energy methods for linear systems in higher dimensions
SV Dolgov, DV Savostyanov
SIAM Journal on Scientific Computing 36 (5), A2248-A2271, 2014
1752014
Tucker dimensionality reduction of three-dimensional arrays in linear time
IV Oseledets, DV Savostianov, EE Tyrtyshnikov
SIAM Journal on Matrix Analysis and Applications 30 (3), 939-956, 2008
1582008
How to find a good submatrix
SA Goreinov, IV Oseledets, DV Savostyanov, EE Tyrtyshnikov, ...
Matrix Methods: Theory, Algorithms And Applications: Dedicated to the Memory …, 2010
1482010
Computation of extreme eigenvalues in higher dimensions using block tensor train format
SV Dolgov, BN Khoromskij, IV Oseledets, DV Savostyanov
Computer Physics Communications 185 (4), 1207-1216, 2014
772014
Fast adaptive interpolation of multi-dimensional arrays in tensor train format
D Savostyanov, I Oseledets
The 2011 International Workshop on Multidimensional (nD) Systems, 1-8, 2011
772011
Superfast Fourier Transform Using QTT Approximation
S Dolgov, B Khoromskij, D Savostyanov
Journal of Fourier Analysis and Applications 18 (5), 915-953, 2012
59*2012
Linear algebra for tensor problems
IV Oseledets, DV Savostyanov, EE Tyrtyshnikov
Computing 85 (3), 169-188, 2009
582009
TT-Toolbox
IV Oseledets, S Dolgov, V Kazeev, D Savostyanov, O Lebedeva, ...
URL: http://oseledets. github. io/software, 2016
52*2016
Quasioptimality of maximum-volume cross interpolation of tensors
DV Savostyanov
Linear Algebra and its Applications 458, 217-244, 2014
452014
Verification of the cross 3D algorithm on quantum chemistry data
HJ Flad, BN Khoromskij, DV Savostyanov, EE Tyrtyshnikov
Rus. J. Numer. Anal. and Math. Modelling 23 (4), 329-344, 2008
392008
Exact NMR simulation of protein-size spin systems using tensor train formalism
DV Savostyanov, SV Dolgov, JM Werner, I Kuprov
Physical Review B 90 (8), 085139, 2014
322014
Cross approximation in tensor electron density computations
IV Oseledets, DV Savostyanov, EE Tyrtyshnikov
Numerical Linear Algebra with Applications 17 (6), 935-952, 2010
232010
Grid-free powder averages: on the applications of the Fokker-Planck equation to solid state NMR
LJ Edwards, DV Savostyanov, AA Nevzorov, M Concistre, G Pileio, ...
Journal of Magnetic Resonance 235, 121-129, 2013
222013
Wedderburn Rank Reduction and Krylov Subspace Method for Tensor Approximation. Part 1: Tucker Case
SA Goreinov, IV Oseledets, DV Savostyanov
SIAM J. Sci. Comp. 34 (1), A1-A27, 2012
222012
Quantum mechanical NMR simulation algorithm for protein-size spin systems
LJ Edwards, DV Savostyanov, ZT Welderufael, D Lee, I Kuprov
Journal of Magnetic Resonance 243, 107-113, 2014
212014
Fast tensor product solvers for optimization problems with fractional differential equations as constraints
S Dolgov, JW Pearson, DV Savostyanov, M Stoll
Applied Mathematics and Computation 273, 604-623, 2016
202016
Minimization methods for approximating tensors and their comparison
IV Oseledets, DV Savost’yanov
Computational Mathematics and Mathematical Physics 46 (10), 1641-1650, 2006
20*2006
Fast Revealing of Mode Ranks of Tensor in Canonical Form
DV Savostyanov
Numer Math Theor Meth Appl 2 (4), 439-444, 2009
182009
Corrected one-site density matrix renormalization group and alternating minimal energy algorithm
SV Dolgov, DV Savostyanov
Numerical Mathematics and Advanced Applications-ENUMATH 2013, 335-343, 2015
152015
Fast truncation of mode ranks for bilinear tensor operations
DV Savostyanov, EE Tyrtyshnikov, NL Zamarashkin
Numerical Linear Algebra with Applications 19 (1), 103-111, 2012
132012
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Articles 1–20