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Dmitry Savostyanov
Dmitry Savostyanov
University of Essex, School of Mathematics, Statistics and Actuarial Science
Verified email at essex.ac.uk
Title
Cited by
Cited by
Year
Alternating minimal energy methods for linear systems in higher dimensions
SV Dolgov, DV Savostyanov
SIAM Journal on Scientific Computing 36 (5), A2248-A2271, 2014
3062014
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
2852010
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
2302008
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
1382011
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
1232014
Superfast Fourier Transform Using QTT Approximation
S Dolgov, B Khoromskij, D Savostyanov
Journal of Fourier Analysis and Applications 18 (5), 915-953, 2012
862012
TT-toolbox
IV Oseledets, S Dolgov, V Kazeev, D Savostyanov, O Lebedeva, ...
URL: http://oseledets. github. io/software, 2016
79*2016
Quasioptimality of maximum-volume cross interpolation of tensors
DV Savostyanov
Linear Algebra and its Applications 458, 217-244, 2014
792014
Linear algebra for tensor problems
IV Oseledets, DV Savostyanov, EE Tyrtyshnikov
Computing 85, 169-188, 2009
712009
Parallel cross interpolation for high-precision calculation of high-dimensional integrals
S Dolgov, D Savostyanov
Computer Physics Communications 246, 106869, 2020
462020
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
462008
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
452016
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
422014
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
412014
Cross approximation in tensor electron density computations
IV Oseledets, DV Savostyanov, EE Tyrtyshnikov
Numerical Linear Algebra with Applications 17 (6), 935-952, 2010
372010
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
342013
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
312012
Minimization methods for approximating tensors and their comparison
IV Oseledets, DV Savost’yanov
Computational Mathematics and Mathematical Physics 46 (10), 1641-1650, 2006
25*2006
Corrected one-site density matrix renormalization group and alternating minimal energy algorithm
SV Dolgov, DV Savostyanov
Numerical Mathematics and Advanced Applications-ENUMATH 2013: Proceedings of …, 2015
232015
Fast Revealing of Mode Ranks of Tensor in Canonical Form
DV Savostyanov
Numer Math Theor Meth Appl 2 (4), 439-444, 2009
232009
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