A primal-dual interior point algorithm for linear programming M Kojima, S Mizuno, A Yoshise Progress in Mathematical Programming: Interior-point and related methods, 29-47, 1989 | 919 | 1989 |
A unified approach to interior point algorithms for linear complementarity problems: A summary M Kojima, N Megiddo, T Noma, A Yoshise Operations Research Letters 10 (5), 247-254, 1991 | 685 | 1991 |
Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices M Kojima, S Shindoh, S Hara SIAM Journal on Optimization 7 (1), 86-125, 1997 | 633 | 1997 |
A polynomial-time algorithm for a class of linear complementarity problems M Kojima, S Mizuno, A Yoshise Mathematical programming 44, 1-26, 1989 | 550 | 1989 |
Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity H Waki, S Kim, M Kojima, M Muramatsu SIAM Journal on Optimization 17 (1), 218-242, 2006 | 529 | 2006 |
Strongly stable stationary solutions in nonlinear programs M Kojima Analysis and computation of fixed points, 93-138, 1980 | 431 | 1980 |
A primal—dual infeasible-interior-point algorithm for linear programming M Kojima, N Megiddo, S Mizuno Mathematical programming 61 (1), 263-280, 1993 | 429 | 1993 |
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 | 427 | 2001 |
An iteration potential reduction algorithm for linear complementarity problems M Kojima, S Mizuno, A Yoshise Mathematical programming 50 (1), 331-342, 1991 | 304 | 1991 |
Implementation and evaluation of SDPA 6.0 (semidefinite programming algorithm 6.0) M Yamashita, K Fujisawa, M Kojima Optimization Methods and Software 18 (4), 491-505, 2003 | 278 | 2003 |
A unified approach to interior-point algorithms for linear complementarity-problems M Kojima, N Megiddo, T Noma, A Yoshise Lecture Notes in Computer Science 538, UR5-&, 1991 | 269 | 1991 |
Exploiting sparsity in primal-dual interior-point methods for semidefinite programming K Fujisawa, M Kojima, K Nakata Mathematical Programming 79, 235-253, 1997 | 240 | 1997 |
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 | 237 | 2003 |
Sdpa (semidefinite programming algorithm) user’s manual—version 6.2. 0 K Fujisawa, M Kojima, K Nakata, M Yamashita Department of Mathematical and Com-puting Sciences, Tokyo Institute of …, 2002 | 236 | 2002 |
Extension of Newton and quasi-Newton methods to systems of PC^ 1 equations M Kojima, S Shindo Journal of the Operations Research Society of Japan 29 (4), 352-375, 1986 | 234 | 1986 |
Semidefinite programming relaxation for nonconvex quadratic programs T Fujie, M Kojima Journal of Global optimization 10, 367-380, 1997 | 218 | 1997 |
Algorithm 883: SparsePOP---a sparse semidefinite programming relaxation of polynomial optimization problems H Waki, S Kim, M Kojima, M Muramatsu, H Sugimoto ACM Transactions on Mathematical Software (TOMS) 35 (2), 1-13, 2008 | 215 | 2008 |
Exact solutions of some nonconvex quadratic optimization problems via SDP and SOCP relaxations S Kim, M Kojima Computational optimization and applications 26, 143-154, 2003 | 203 | 2003 |
Second order cone programming relaxation of nonconvex quadratic optimization problems S Kim, M Kojima Optimization methods and software 15 (3-4), 201-224, 2001 | 179 | 2001 |
Homotopy continuation methods for nonlinear complementarity problems M Kojima, N Megiddo, T Noma Mathematics of operations research 16 (4), 754-774, 1991 | 172 | 1991 |