Exploiting sparsity in semidefinite programming via matrix completion I: General framework M Fukuda, M Kojima, K Murota, K Nakata
SIAM Journal on optimization 11 (3), 647-674, 2001
424 2001 Variational calculations of fermion second-order reduced density matrices by semidefinite programming algorithm M Nakata, H Nakatsuji, M Ehara, M Fukuda, K Nakata, K Fujisawa
The Journal of Chemical Physics 114 (19), 8282-8292, 2001
309 2001 The reduced density matrix method for electronic structure calculations and the role of three-index representability conditions Z Zhao, BJ Braams, M Fukuda, ML Overton, JK Percus
The Journal of chemical physics 120 (5), 2095-2104, 2004
288 2004 Exploiting sparsity in semidefinite programming via matrix completion II: Implementation and numerical results K Nakata, K Fujisawa, M Fukuda, M Kojima, K Murota
Mathematical Programming 95, 303-327, 2003
236 2003 Branch-and-cut algorithms for the bilinear matrix inequality eigenvalue problem M Fukuda, M Kojima
Computational Optimization and Applications 19, 79-105, 2001
152 2001 A high-performance software package for semidefinite programs: SDPA 7 M Yamashita, K Fujisawa, K Nakata, M Nakata, M Fukuda, K Kobayashi, ...
Tokyo, Japan, 2010
130 2010 Latest developments in the SDPA family for solving large-scale SDPs M Yamashita, K Fujisawa, M Fukuda, K Kobayashi, K Nakata, M Nakata
Handbook on semidefinite, conic and polynomial optimization, 687-713, 2012
109 2012 Variational calculation of second-order reduced density matrices by strong M Nakata, BJ Braams, K Fujisawa, M Fukuda, JK Percus, M Yamashita, ...
The Journal of chemical physics 128 (16), 164113, 2008
102 2008 Numerical evaluation of SDPA (semidefinite programming algorithm) K Fujisawa, M Fukuda, M Kojima, K Nakata
High performance optimization, 267-301, 2000
100 2000 Large-scale semidefinite programs in electronic structure calculation M Fukuda, BJ Braams, M Nakata, ML Overton, JK Percus, M Yamashita, ...
Mathematical programming 109, 553-580, 2007
96 2007 SDPA PROJECT: SOLVING LARGE-SCALE SEMIDEFINITE PROGRAMS (< Special Issue> the 50th Anniversary of the Operations Research Society of Japan) K Fujisawa, K Nakata, M Yamashita, M Fukuda
Journal of the Operations Research Society of Japan 50 (4), 278-298, 2007
49 2007 Algorithm 925: Parallel solver for semidefinite programming problem having sparse schur complement matrix M Yamashita, K Fujisawa, M Fukuda, K Nakata, M Nakata
ACM Transactions on Mathematical Software (TOMS) 39 (1), 1-22, 2012
24 2012 Lagrangian dual interior-point methods for semidefinite programs M Fukuda, M Kojima, M Shida
SIAM Journal on Optimization 12 (4), 1007-1031, 2002
23 2002 Towards implementations of successive convex relaxation methods for nonconvex quadratic optimization problems A Takeda, Y Dai, M Fukuda, M Kojima
Approximation and Complexity in Numerical Optimization: Continuous and …, 2000
22 2000 A family of subgradient-based methods for convex optimization problems in a unifying framework M Ito, M Fukuda
Optimization Methods and Software 31 (5), 952-982, 2016
14 2016 Simple Hamiltonians which exhibit drastic failures by variational determination of the two-particle reduced density matrix with some well known M Nakata, BJ Braams, M Fukuda, JK Percus, M Yamashita, Z Zhao
The Journal of chemical physics 125 (24), 244109, 2006
13 2006 Preprocessing sparse semidefinite programs via matrix completion K Fujisawa, M Fukuda, K Nakata
Optimization Methods and Software 21 (1), 17-39, 2006
12 2006 Semidefinite programming: Formulations and primal-dual interior-point methods M Fukuda, M Nakata, M Yamashita
Advances in Chemical Physics 134, 103, 2007
11 2007 Variational approach to electronic structure calculations on second-order reduced density matrices and the N-representability problem M Nakata, M Fukuda, K Fujisawa
Complex Quantum Systems: Analysis of Large Coulomb Systems, 163-194, 2013
10 2013 Nearly optimal first-order methods for convex optimization under gradient norm measure: An adaptive regularization approach M Ito, M Fukuda
Journal of Optimization Theory and Applications 188, 770-804, 2021
9 2021 
Katsuki FujisawaProfessor, Institute of Mathematics for Industry, Kyushu UniversityDirección de correo verificada de imi.kyushu-u.ac.jp
