-
1
-
-
0001871197
-
Direct methods in electronic structure theory
-
D. R. Yarkony, ed., World Scientific, Singapore
-
J. ALMLÖF, Direct methods in electronic structure theory, in Modern Electronic Structure Theory II, D. R. Yarkony, ed., World Scientific, Singapore, 1995, pp. 110-151.
-
(1995)
Modern Electronic Structure Theory II
, pp. 110-151
-
-
Almlöf, J.1
-
2
-
-
0000277432
-
Linear scaling second-order Møller-Plesset theory in the atomic orbital basis for large molecular systems
-
P. Y. AYALA AND G. E. SCUSERIA, Linear scaling second-order Møller-Plesset theory in the atomic orbital basis for large molecular systems, J. Chem. Phys., 110(1999), pp. 3660-3671.
-
(1999)
J. Chem. Phys.
, vol.110
, pp. 3660-3671
-
-
Ayala, P.Y.1
Scuseria, G.E.2
-
3
-
-
33846877429
-
Multilevel domain decomposition for electronic structure calculations
-
M. BARRAULT, E. CANCÈS, W. HAGER, AND C. LE BRIS, Multilevel domain decomposition for electronic structure calculations, J. Comput. Phys., 222(2007), pp. 86-109.
-
(2007)
J. Comput. Phys.
, vol.222
, pp. 86-109
-
-
Barrault, M.1
Cancès, E.2
Hager, W.3
Le Bris, C.4
-
4
-
-
0041841599
-
Adaptive low-rank approximation of collocation matrices
-
M. BEBENDORF AND S. RJASANOW, Adaptive low-rank approximation of collocation matrices, Computing, 70(2003), pp. 1-24.
-
(2003)
Computing
, vol.70
, pp. 1-24
-
-
Bebendorf, M.1
Rjasanow, S.2
-
5
-
-
84987067867
-
Simplifications in the generation and transformation of twoelectron integrals in molecular calculations
-
N. H. F. BEEBE AND J. LINDERBERG, Simplifications in the generation and transformation of twoelectron integrals in molecular calculations, Int. J. Quantum Chem., 12(1977), pp. 683-705.
-
(1977)
Int. J. Quantum Chem.
, vol.12
, pp. 683-705
-
-
Beebe, N.H.F.1
Linderberg, J.2
-
6
-
-
84856227650
-
Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels
-
C. BERTOGLIO, AND B. N. KHOROMSKIJ, Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels, Comput. Phys. Comm., 183(2012), pp. 904-912.
-
(2012)
Comput. Phys. Comm.
, vol.183
, pp. 904-912
-
-
Bertoglio, C.1
Khoromskij, B.N.2
-
7
-
-
17144410769
-
Tensor-product approximation to elliptic and parabolic solution operators in higher dimensions
-
I. P. GAVRILYUK, W. HACKBUSCH, AND B. N. KHOROMSKIJ, Tensor-product approximation to elliptic and parabolic solution operators in higher dimensions, Computing, 74(2005), pp. 131-157.
-
(2005)
Computing
, vol.74
, pp. 131-157
-
-
Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
-
8
-
-
0039506183
-
A theory of pseudoskeleton approximations
-
S. A. GOREINOV, E. E. TYRTYSHNIKOV, AND N. L. ZAMARASHKIN, A theory of pseudoskeleton approximations, Linear Algebra Appl., 261(1997), pp. 1-21.
-
(1997)
Linear Algebra Appl.
, vol.261
, pp. 1-21
-
-
Goreinov, S.A.1
Tyrtyshnikov, E.E.2
Zamarashkin, N.L.3
-
9
-
-
84871569236
-
Fast solution of multidimensional parabolic problems in the TT/QTT formats with initial application to the Fokker-Planck equation
-
S. V. DOLGOV, B. N. KHOROMSKIJ, AND I. OSELEDETS, Fast solution of multidimensional parabolic problems in the TT/QTT formats with initial application to the Fokker-Planck equation, SIAM J. Sci. Comput., 34(2012), pp. A3016-A3038.
-
(2012)
SIAM J. Sci. Comput.
, vol.34
-
-
Dolgov, S.V.1
Khoromskij, B.N.2
Oseledets, I.3
-
10
-
-
84866519225
-
Superfast Fourier transform using QTT approximation
-
S. V. DOLGOV, B. N. KHOROMSKIJ, AND D. SAVOSTIANOV, Superfast Fourier transform using QTT approximation, J. Fourier Anal. Appl., 18(2012), pp. 915-953.
-
(2012)
J. Fourier Anal. Appl.
, vol.18
, pp. 915-953
-
-
Dolgov, S.V.1
Khoromskij, B.N.2
Savostianov, D.3
-
11
-
-
84880598058
-
Two-level Tucker-TT-QTT format for optimized tensor calculus
-
submitted
-
S. V. DOLGOV AND B. N. KHOROMSKIJ, Two-level Tucker-TT-QTT format for optimized tensor calculus, SIAM J. Anal. Appl., submitted.
-
SIAM J. Anal. Appl.
-
-
Dolgov, S.V.1
Khoromskij, B.N.2
-
12
-
-
29144513721
-
Low-rank Kronecker product approximation to multidimensional nonlocal operators. Part I. Separable approximation of multi-variate functions
-
W. HACKBUSCH AND B. N. KHOROMSKIJ, Low-rank Kronecker product approximation to multidimensional nonlocal operators. Part I. Separable approximation of multi-variate functions, Computing, 76(2006), pp. 177-202.
-
(2006)
Computing
, vol.76
, pp. 177-202
-
-
Hackbusch, W.1
Khoromskij, B.N.2
-
13
-
-
84857789592
-
On the low-rank approximation by the pivoted Cholesky decomposition
-
H. HARBRECHT, M. PETERS, AND R. SCHNEIDER, On the low-rank approximation by the pivoted Cholesky decomposition, Appl. Numer. Math., 62(2012), pp. 428-440.
-
(2012)
Appl. Numer. Math.
, vol.62
, pp. 428-440
-
-
Harbrecht, H.1
Peters, M.2
Schneider, R.3
-
14
-
-
11044224123
-
Multiresolution quantum chemistry: Basic theory and initial applications
-
R. J. HARRISON, G. I. FANN, T. YANAI, Z. GAN, AND G. BEYLKIN, Multiresolution quantum chemistry: Basic theory and initial applications, J. Chem. Phys., 121(2004), pp. 11587-11598.
-
(2004)
J. Chem. Phys.
, vol.121
, pp. 11587-11598
-
-
Harrison, R.J.1
Fann, G.I.2
Yanai, T.3
Gan, Z.4
Beylkin, G.5
-
15
-
-
85102989523
-
-
Wiley, New York
-
T. HELGAKER, P. JØRGENSEN, AND J. OLSEN, Molecular Electronic-Structure Theory, Wiley, New York, 1999.
-
(1999)
Molecular Electronic-Structure Theory
-
-
Helgaker, T.1
Jørgensen, P.2
Olsen, J.3
-
16
-
-
0003306408
-
Analysis of the Cholesky decomposition of a semi-definite matrix
-
M. G. Cox and S. J. Hammarling, eds., Oxford University Press, Oxford
-
N. HIGHAM, Analysis of the Cholesky decomposition of a semi-definite matrix, in Reliable Numerical Computations, M. G. Cox and S. J. Hammarling, eds., Oxford University Press, Oxford, 1990, pp. 161-185.
-
(1990)
Reliable Numerical Computations
, pp. 161-185
-
-
Higham, N.1
-
17
-
-
85052278548
-
Multilevel Toeplitz matrices generated by QTT vectors and convolution with logarithmic complexity
-
submitted
-
V. KAZEEV, B. N. KHOROMSKIJ, AND E. E. TYRTYSHNIKOV, Multilevel Toeplitz matrices generated by QTT vectors and convolution with logarithmic complexity, SIAM J. Sci. Comput., submitted.
-
SIAM J. Sci. Comput.
-
-
Kazeev, V.1
Khoromskij, B.N.2
Tyrtyshnikov, E.E.3
-
18
-
-
84948466347
-
Computation of the Hartree-Fock exchange by the tensor-structured methods
-
V. KHOROMSKAIA, Computation of the Hartree-Fock exchange by the tensor-structured methods, Comput. Methods Appl. Math., 10(2010), pp. 204-218.
-
(2010)
Comput. Methods Appl. Math.
, vol.10
, pp. 204-218
-
-
Khoromskaia, V.1
-
20
-
-
80053918083
-
QTT representation of the Hartree and exchange operators in electronic structure calculations
-
V. KHOROMSKAIA, B. N. KHOROMSKIJ, AND R. SCHNEIDER, QTT representation of the Hartree and exchange operators in electronic structure calculations, Comput. Methods Appl. Math., 11(2011), pp. 327-341.
-
(2011)
Comput. Methods Appl. Math.
, vol.11
, pp. 327-341
-
-
Khoromskaia, V.1
Khoromskij, B.N.2
Schneider, R.3
-
21
-
-
84864441088
-
Fast and accurate 3D tensor calculation of the Fock operator in a general basis
-
V. KHOROMSKAIA, D. ANDRAE, AND B. N. KHOROMSKIJ, Fast and accurate 3D tensor calculation of the Fock operator in a general basis, Comput. Phys. Comm., 183(2012), pp. 2392-2404.
-
(2012)
Comput. Phys. Comm.
, vol.183
, pp. 2392-2404
-
-
Khoromskaia, V.1
Andrae, D.2
Khoromskij, B.N.3
-
22
-
-
84897586218
-
Multigrid accelerated tensor approximation of function related multidimensional arrays
-
B. N. KHOROMSKIJ AND V. KHOROMSKAIA, Multigrid accelerated tensor approximation of function related multidimensional arrays, SIAM J. Sci. Comput., 31(2009), pp. 3002-3026.
-
(2009)
SIAM J. Sci. Comput.
, vol.31
, pp. 3002-3026
-
-
Khoromskij, B.N.1
Khoromskaia, V.2
-
23
-
-
79952297523
-
Numerical solution of the Hartree-Fock equation in multilevel tensor-structured format
-
B. N. KHOROMSKIJ, V. KHOROMSKAIA, AND H.-J. FLAD, Numerical solution of the Hartree-Fock equation in multilevel tensor-structured format, SIAM J. Sci. Comput., 33(2011), pp. 45-65.
-
(2011)
SIAM J. Sci. Comput.
, vol.33
, pp. 45-65
-
-
Khoromskij, B.N.1
Khoromskaia, V.2
Flad, H.-J.3
-
25
-
-
79960994573
-
O (d log N)-quantics approximation of N-d tensors in high-dimensional numerical modeling
-
B. N. KHOROMSKIJ, O (d log N)-quantics approximation of N-d tensors in high-dimensional numerical modeling, Constr. Approx., 34(2011), pp. 257-280.
-
(2011)
Constr. Approx.
, vol.34
, pp. 257-280
-
-
Khoromskij, B.N.1
-
26
-
-
77955278344
-
Fast and accurate tensor approximation of a multivariate convolution with linear scaling in Dimension
-
B. N. KHOROMSKIJ, Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension, J. Comput. Appl. Math., 234(2010), pp. 3122-3139.
-
(2010)
J. Comput. Appl. Math.
, vol.234
, pp. 3122-3139
-
-
Khoromskij, B.N.1
-
27
-
-
83655192088
-
Tensors-structured numerical methods in scientific computing: Survey on recent advances
-
B. N. KHOROMSKIJ, Tensors-structured numerical methods in scientific computing: Survey on recent advances, Chemometrics and Intell. Lab. Syst., 110(2012), pp. 1-19.
-
(2012)
Chemometrics and Intell. Lab. Syst.
, vol.110
, pp. 1-19
-
-
Khoromskij, B.N.1
-
28
-
-
68649096448
-
Tensor decompositions and applications
-
T. G. KOLDA AND B. W. BADER, Tensor decompositions and applications, SIAM Rev., 51(2009), pp. 455-500.
-
(2009)
SIAM Rev.
, vol.51
, pp. 455-500
-
-
Kolda, T.G.1
Bader, B.W.2
-
29
-
-
70349286248
-
Quantum Monte Carlo study of Jastrow perturbation theory. I. Wavefunction optimization
-
H. LUO, W. HACKBUSCH, AND H.-J. FLAD, Quantum Monte Carlo study of Jastrow perturbation theory. I. Wavefunction optimization, J. Chem. Phys., 131(2009), 104106.
-
(2009)
J. Chem. Phys.
, vol.131
, pp. 104106
-
-
Luo, H.1
Hackbusch, W.2
Flad, H.-J.3
-
30
-
-
19844366465
-
Computational chemistry from the perspective of numerical analysis
-
C. LE BRIS, Computational chemistry from the perspective of numerical analysis, Acta Numer., 14(2005), pp. 363-444.
-
(2005)
Acta Numer.
, vol.14
, pp. 363-444
-
-
Le Bris, C.1
-
31
-
-
80053896203
-
Tensor-train decomposition
-
I. V. OSELEDETS, Tensor-train decomposition, SIAM J. Sci. Comput., 33(2011), pp. 2295-2317.
-
(2011)
SIAM J. Sci. Comput.
, vol.33
, pp. 2295-2317
-
-
Oseledets, I.V.1
-
32
-
-
77956042755
-
d matrices using tensor decomposition
-
d matrices using tensor decomposition, SIAM J. Matrix Anal. Appl., 31(2010), pp. 2130-2145.
-
(2010)
SIAM J. Matrix Anal. Appl.
, vol.31
, pp. 2130-2145
-
-
Oseledets, I.V.1
-
33
-
-
70449528138
-
Breaking the curse of dimensionality, or how to use SVD in many dimensions
-
I. V. OSELEDETS AND E. E. TYRTYSHNIKOV, Breaking the curse of dimensionality, or how to use SVD in many dimensions, SIAM J. Sci. Comput., 31(2009), pp. 3744-3759.
-
(2009)
SIAM J. Sci. Comput.
, vol.31
, pp. 3744-3759
-
-
Oseledets, I.V.1
Tyrtyshnikov, E.E.2
-
34
-
-
44349162071
-
Improved SCF convergence acceleration
-
P. PULAY, Improved SCF convergence acceleration, J. Comput. Chem., 3(1982), pp. 556-560.
-
(1982)
J. Comput. Chem.
, vol.3
, pp. 556-560
-
-
Pulay, P.1
-
35
-
-
0000173405
-
Integral transformation with low-order scaling for large local second-order Mollet-Plesset calculations
-
G. RAUHUT, P. PULAY, AND H.-J. WERNER, Integral transformation with low-order scaling for large local second-order Mollet-Plesset calculations, J. Comput. Chem., 19(1998), pp. 1241-1254.
-
(1998)
J. Comput. Chem.
, vol.19
, pp. 1241-1254
-
-
Rauhut, G.1
Pulay, P.2
Werner, H.-J.3
-
36
-
-
78649684489
-
Fast revealing of mode ranks of tensor in canonical form
-
D. V. SAVOSTIANOV, Fast revealing of mode ranks of tensor in canonical form, Numer. Math. Theor. Methods Appl., 2(2009), pp. 439-444.
-
(2009)
Numer. Math. Theor. Methods Appl.
, vol.2
, pp. 439-444
-
-
Savostianov, D.V.1
-
37
-
-
0035333693
-
Generalized Carathéodory's Uniqueness of harmonic Parameterization to N Dimensions
-
N. D. SIDIROPOULOS, Generalized Carathéodory's Uniqueness of harmonic Parameterization to N Dimensions, IEEE Trans. Inform. Theory, 47(2001), pp. 1687-1690.
-
(2001)
IEEE Trans. Inform. Theory
, vol.47
, pp. 1687-1690
-
-
Sidiropoulos, N.D.1
-
38
-
-
0029692981
-
Mosaic-skeleton approximation
-
E. E. TYRTYSHNIKOV, Mosaic-skeleton approximation, Calcolo, 33(1996), pp. 47-57.
-
(1996)
Calcolo
, vol.33
, pp. 47-57
-
-
Tyrtyshnikov, E.E.1
-
39
-
-
37649026836
-
DMRG and periodic boundary conditions: A quantum information perspective
-
F. VERSTRAETE, D. PORRAS, AND J. I. CIRAC, DMRG and periodic boundary conditions: A quantum information perspective, Phys. Rev. Lett., 93(2004), 227205.
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 227205
-
-
Verstraete, F.1
Porras, D.2
Cirac, J.I.3
-
40
-
-
0242425255
-
Efficient classical simulation of slightly entangled quantum computations
-
G. VIDAL, Efficient classical simulation of slightly entangled quantum computations, Phys. Rev. Lett., 91(2003), 147902-1.
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 147902-147901
-
-
Vidal, G.1
-
42
-
-
0038137433
-
Fast linear scaling second order Møller-Plesset perturbation theory (MP2) using local and density fitting approximations
-
H.-J. WERNER, F. R. MANBY, AND P. J. KNOWLES, Fast linear scaling second order Møller-Plesset perturbation theory (MP2) using local and density fitting approximations, J. Chem. Phys., 118(2003), pp. 8149-8160.
-
(2003)
J. Chem. Phys.
, vol.118
, pp. 8149-8160
-
-
Werner, H.-J.1
Manby, F.R.2
Knowles, P.J.3
-
43
-
-
20044389808
-
Density-matrix algorithms for quantum renormalization groups
-
S. R. WHITE, Density-matrix algorithms for quantum renormalization groups, Phys. Rev. B, 48(1993), pp. 10345-10356.
-
(1993)
Phys. Rev. B
, vol.48
, pp. 10345-10356
-
-
White, S.R.1
-
44
-
-
0025387691
-
Universal basis sets and Cholesky decomposition of the two-electron integral matrix
-
S. WILSON, Universal basis sets and Cholesky decomposition of the two-electron integral matrix, Comput. Phys. Comm., 58(1990), pp. 71-81.
-
(1990)
Comput. Phys. Comm.
, vol.58
, pp. 71-81
-
-
Wilson, S.1
|