Alternating minimal energy methods for linear systems in higher dimensions SV Dolgov, DV Savostyanov SIAM Journal on Scientific Computing 36 (5), A2248-A2271, 2014 | 312 | 2014 |
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 | 292 | 2010 |
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 | 232 | 2008 |
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 | 143 | 2011 |
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 | 124 | 2014 |
Superfast Fourier Transform Using QTT Approximation S Dolgov, B Khoromskij, D Savostyanov Journal of Fourier Analysis and Applications 18 (5), 915-953, 2012 | 84 | 2012 |
TT-toolbox IV Oseledets, S Dolgov, V Kazeev, D Savostyanov, O Lebedeva, ... URL: http://oseledets. github. io/software, 2016 | 83* | 2016 |
Quasioptimality of maximum-volume cross interpolation of tensors DV Savostyanov Linear Algebra and its Applications 458, 217-244, 2014 | 81 | 2014 |
Linear algebra for tensor problems IV Oseledets, DV Savostyanov, EE Tyrtyshnikov Computing 85, 169-188, 2009 | 69 | 2009 |
Parallel cross interpolation for high-precision calculation of high-dimensional integrals S Dolgov, D Savostyanov Computer Physics Communications 246, 106869, 2020 | 48 | 2020 |
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 | 48 | 2016 |
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 | 45 | 2008 |
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 | 44 | 2014 |
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 | 43 | 2014 |
Cross approximation in tensor electron density computations IV Oseledets, DV Savostyanov, EE Tyrtyshnikov Numerical Linear Algebra with Applications 17 (6), 935-952, 2010 | 36 | 2010 |
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 | 35 | 2013 |
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 | 31 | 2012 |
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 | 23 | 2015 |
On the decay of the elements of inverse triangular Toeplitz matrices NJ Ford, DV Savostyanov, NL Zamarashkin SIAM Journal on Matrix Analysis and Applications 35 (4), 1288-1302, 2014 | 22 | 2014 |