| 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 | 423 | 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 | 308 | 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 | 235 | 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 | 129 | 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 -representability conditions and an accurate semidefinite programming solver 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 -representability … 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 UniversityVerified email at imi.kyushu-u.ac.jp
