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2020 – today
- 2024
[j87]Naohiko Arima, Sunyoung Kim, Masakazu Kojima:
Further Development in Convex Conic Reformulation of Geometric Nonconvex Conic Optimization Problems. SIAM J. Optim. 34(4): 3194-3211 (2024)- 2022
- [j86]Sunyoung Kim, Masakazu Kojima, Kim-Chuan Toh
:
Doubly nonnegative relaxations for quadratic and polynomial optimization problems with binary and box constraints. Math. Program. 193(2): 761-787 (2022) - 2021
- [j85]Sunyoung Kim, Masakazu Kojima, Kim-Chuan Toh:
A Newton-bracketing method for a simple conic optimization problem. Optim. Methods Softw. 36(2-3): 371-388 (2021) - 2020
- [j84]Sunyoung Kim, Masakazu Kojima, Kim-Chuan Toh:
Doubly nonnegative relaxations are equivalent to completely positive reformulations of quadratic optimization problems with block-clique graph structures. J. Glob. Optim. 77(3): 513-541 (2020) - [j83]Sunyoung Kim, Masakazu Kojima, Kim-Chuan Toh:
A Geometrical Analysis on Convex Conic Reformulations of Quadratic and Polynomial Optimization Problems. SIAM J. Optim. 30(2): 1251-1273 (2020)
2010 – 2019
- 2019
- [j82]Naoki Ito, Sunyoung Kim, Masakazu Kojima, Akiko Takeda, Kim-Chuan Toh:
Algorithm 996: BBCPOP: A Sparse Doubly Nonnegative Relaxation of Polynomial Optimization Problems With Binary, Box, and Complementarity Constraints. ACM Trans. Math. Softw. 45(3): 34:1-34:26 (2019) - 2018
- [j81]Naoki Ito, Sunyoung Kim, Masakazu Kojima, Akiko Takeda, Kim-Chuan Toh:
Equivalences and differences in conic relaxations of combinatorial quadratic optimization problems. J. Glob. Optim. 72(4): 619-653 (2018) - 2017
- [j80]Naohiko Arima, Sunyoung Kim, Masakazu Kojima, Kim-Chuan Toh:
A robust Lagrangian-DNN method for a class of quadratic optimization problems. Comput. Optim. Appl. 66(3): 453-479 (2017) - [j79]Sunyoung Kim, Masakazu Kojima:
Binary quadratic optimization problems that are difficult to solve by conic relaxations. Discret. Optim. 24: 170-183 (2017) - 2016
- [j78]Naohiko Arima, Sunyoung Kim, Masakazu Kojima:
Extension of Completely Positive Cone Relaxation to Moment Cone Relaxation for Polynomial Optimization. J. Optim. Theory Appl. 168(3): 884-900 (2016) - [j77]Sunyoung Kim, Masakazu Kojima, Kim-Chuan Toh:
A Lagrangian-DNN relaxation: a fast method for computing tight lower bounds for a class of quadratic optimization problems. Math. Program. 156(1-2): 161-187 (2016) - 2014
- [j76]Samuel Burer, Sunyoung Kim, Masakazu Kojima:
Faster, but weaker, relaxations for quadratically constrained quadratic programs. Comput. Optim. Appl. 59(1-2): 27-45 (2014) - 2013
- [j75]Masakazu Kojima, Makoto Yamashita:
Enclosing ellipsoids and elliptic cylinders of semialgebraic sets and their application to error bounds in polynomial optimization. Math. Program. 138(1-2): 333-364 (2013) - [j74]Naohiko Arima, Sunyoung Kim, Masakazu Kojima:
A Quadratically Constrained Quadratic Optimization Model for Completely Positive Cone Programming. SIAM J. Optim. 23(4): 2320-2340 (2013) - 2012
- [j73]Sunyoung Kim, Masakazu Kojima, Hayato Waki, Makoto Yamashita:
Algorithm 920: SFSDP: A Sparse Version of Full Semidefinite Programming Relaxation for Sensor Network Localization Problems. ACM Trans. Math. Softw. 38(4): 27:1-27:19 (2012) - 2011
- [j72]Sunyoung Kim, Masakazu Kojima, Martin Mevissen, Makoto Yamashita:
Exploiting sparsity in linear and nonlinear matrix inequalities via positive semidefinite matrix completion. Math. Program. 129(1): 33-68 (2011) - 2010
- [j71]Martin Mevissen, Masakazu Kojima:
Sdp Relaxations for Quadratic Optimization Problems Derived from Polynomial Optimization Problems. Asia Pac. J. Oper. Res. 27(1): 15-38 (2010) - [j70]Sunyoung Kim, Masakazu Kojima:
Solving polynomial least squares problems via semidefinite programming relaxations. J. Glob. Optim. 46(1): 1-23 (2010) - [c3]Sunyoung Kim, Masakazu Kojima:
Semidefinite programming relaxations for sensor network localization. CACSD 2010: 19-23 - [c2]Masakazu Kojima:
Exploiting Structured Sparsity in Large Scale Semidefinite Programming Problems. ICMS 2010: 4-9
2000 – 2009
- 2009
- [j69]Masakazu Kojima, Masakazu Muramatsu:
A note on sparse SOS and SDP relaxations for polynomial optimization problems over symmetric cones. Comput. Optim. Appl. 42(1): 31-41 (2009) - [j68]Sunyoung Kim, Masakazu Kojima, Philippe L. Toint:
Recognizing underlying sparsity in optimization. Math. Program. 119(2): 273-303 (2009) - [j67]Sunyoung Kim, Masakazu Kojima, Hayato Waki:
Exploiting Sparsity in SDP Relaxation for Sensor Network Localization. SIAM J. Optim. 20(1): 192-215 (2009) - 2008
- [j66]Hayato Waki, Sunyoung Kim, Masakazu Kojima, Masakazu Muramatsu, Hiroshi Sugimoto:
Algorithm 883: SparsePOP - A Sparse Semidefinite Programming Relaxation of Polynomial Optimization Problems. ACM Trans. Math. Softw. 35(2): 15:1-15:13 (2008) - 2007
- [j65]Kazuhiro Kobayashi, Kazuhide Nakata, Masakazu Kojima:
A conversion of an SDP having free variables into the standard form SDP. Comput. Optim. Appl. 36(2-3): 289-307 (2007) - [j64]Tomohiko Mizutani, Akiko Takeda, Masakazu Kojima:
Dynamic Enumeration of All Mixed Cells. Discret. Comput. Geom. 37(3): 351-367 (2007) - [j63]Masakazu Kojima, Masakazu Muramatsu:
An Extension of Sums of Squares Relaxations to Polynomial Optimization Problems Over Symmetric Cones. Math. Program. 110(2): 315-336 (2007) - 2006
- [j62]Takayuki Gunji, Sunyoung Kim, Katsuki Fujisawa, Masakazu Kojima:
PHoMpara - Parallel Implementation of the Polyhedral Homotopy Continuation Method for Polynomial Systems. Computing 77(4): 387-411 (2006) - [j61]Kazuhide Nakata, Makoto Yamashita, Katsuki Fujisawa, Masakazu Kojima:
A parallel primal-dual interior-point method for semidefinite programs using positive definite matrix completion. Parallel Comput. 32(1): 24-43 (2006) - [j60]Hayato Waki, Sunyoung Kim, Masakazu Kojima, Masakazu Muramatsu:
Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Structured Sparsity. SIAM J. Optim. 17(1): 218-242 (2006) - 2005
- [j59]Masakazu Kojima, Sunyoung Kim, Hayato Waki:
Sparsity in sums of squares of polynomials. Math. Program. 103(1): 45-62 (2005) - [j58]Sunyoung Kim, Masakazu Kojima, Hayato Waki:
Generalized Lagrangian Duals and Sums of Squares Relaxations of Sparse Polynomial Optimization Problems. SIAM J. Optim. 15(3): 697-719 (2005) - 2004
- [j57]Takayuki Gunji, Sunyoung Kim, Masakazu Kojima, Akiko Takeda, Katsuki Fujisawa, Tomohiko Mizutani:
PHoM - a Polyhedral Homotopy Continuation Method for Polynomial Systems. Computing 73(1): 57-77 (2004) - [j56]Sunyoung Kim, Masakazu Kojima:
Numerical Stability of Path Tracing in Polyhedral Homotopy Continuation Methods. Computing 73(4): 329-348 (2004) - [c1]Katsuki Fujisawa, Masakazu Kojima, Akiko Takeda, Makoto Yamashita:
High Performance Grid and Cluster Computing for Some Optimization Problems. SAINT Workshops 2004: 612-615 - 2003
- [j55]Sunyoung Kim, Masakazu Kojima:
Exact Solutions of Some Nonconvex Quadratic Optimization Problems via SDP and SOCP Relaxations. Comput. Optim. Appl. 26(2): 143-154 (2003) - [j54]Makoto Yamashita, Katsuki Fujisawa, Masakazu Kojima:
Implementation and evaluation of SDPA 6.0 (Semidefinite Programming Algorithm 6.0). Optim. Methods Softw. 18(4): 491-505 (2003) - [j53]Sunyoung Kim, Masakazu Kojima, Makoto Yamashita:
Second order cone programming relaxation of a positive semidefinite constraint. Optim. Methods Softw. 18(5): 535-541 (2003) - [j52]Makoto Yamashita, Katsuki Fujisawa, Masakazu Kojima:
SDPARA: SemiDefinite Programming Algorithm paRAllel version. Parallel Comput. 29(8): 1053-1067 (2003) - 2002
- [j51]Masakazu Kojima, Levent Tunçel:
On the finite convergence of successive SDP relaxation methods. Eur. J. Oper. Res. 143(2): 325-341 (2002) - [j50]Akiko Takeda, Katsuki Fujisawa, Yusuke Fukaya, Masakazu Kojima:
Parallel Implementation of Successive Convex Relaxation Methods for Quadratic Optimization Problems. J. Glob. Optim. 24(2): 237-260 (2002) - [j49]Masakazu Kojima, Levent Tunçel:
Some Fundamental Properties of Successive Convex Relaxation Methods on LCP and Related Problems. J. Glob. Optim. 24(3): 333-348 (2002) - [j48]Kim-Chuan Toh, Masakazu Kojima:
Solving Some Large Scale Semidefinite Programs via the Conjugate Residual Method. SIAM J. Optim. 12(3): 669-691 (2002) - [j47]Mituhiro Fukuda, Masakazu Kojima, Masayuki Shida:
Lagrangian Dual Interior-Point Methods for Semidefinite Programs. SIAM J. Optim. 12(4): 1007-1031 (2002) - 2001
- [j46]Mituhiro Fukuda, Masakazu Kojima:
Branch-and-Cut Algorithms for the Bilinear Matrix Inequality Eigenvalue Problem. Comput. Optim. Appl. 19(1): 79-105 (2001) - [j45]Masakazu Kojima, Akiko Takeda:
Complexity Analysis of Successive Convex Relaxation Methods for Nonconvex Sets. Math. Oper. Res. 26(3): 519-542 (2001) - [j44]Mituhiro Fukuda, Masakazu Kojima, Kazuo Murota, Kazuhide Nakata:
Exploiting Sparsity in Semidefinite Programming via Matrix Completion I: General Framework. SIAM J. Optim. 11(3): 647-674 (2001) - 2000
- [j43]Masakazu Kojima, Levent Tunçel:
Discretization and localization in successive convex relaxation methods for nonconvex quadratic optimization. Math. Program. 89(1): 79-111 (2000) - [j42]Masakazu Kojima, Levent Tunçel:
Cones of Matrices and Successive Convex Relaxations of Nonconvex Sets. SIAM J. Optim. 10(3): 750-778 (2000)
1990 – 1999
- 1999
- [j41]Masakazu Kojima, Masayuki Shida, Susumu Shindoh:
Search directions in the SDP and the monotone SDLCP: generalization and inexact computation. Math. Program. 85(1): 51-80 (1999) - [j40]Masakazu Kojima, Masayuki Shida, Susumu Shindoh:
A Predictor-Corrector Interior-Point Algorithm for the Semidefinite Linear Complementarity Problem Using the Alizadeh-Haeberly-Overton Search Direction. SIAM J. Optim. 9(2): 444-465 (1999) - 1998
- [j39]Masakazu Kojima, Masayuki Shida, Susumu Shindoh:
Local convergence of predictor-corrector infeasible-interior-point algorithms for SDPs and SDLCPs. Math. Program. 80: 129-160 (1998) - [j38]Masayuki Shida, Susumu Shindoh, Masakazu Kojima:
Existence and Uniqueness of Search Directions in Interior-Point Algorithms for the SDP and the Monotone SDLCP. SIAM J. Optim. 8(2): 387-396 (1998) - 1997
- [j37]Tetsuya Fujie, Masakazu Kojima:
Semidefinite Programming Relaxation for Nonconvex Quadratic Programs. J. Glob. Optim. 10(4): 367-380 (1997) - [j36]Masayuki Shida, Susumu Shindoh, Masakazu Kojima:
Centers of Monotone Generalized Complementarity Problems. Math. Oper. Res. 22(4): 969-976 (1997) - [j35]Katsuki Fujisawa, Masakazu Kojima, Kazuhide Nakata:
Exploiting sparsity in primal-dual interior-point methods for semidefinite programming. Math. Program. 79: 235-253 (1997) - [j34]Masakazu Kojima, Susumu Shindoh, Shinji Hara:
Interior-Point Methods for the Monotone Semidefinite Linear Complementarity Problem in Symmetric Matrices. SIAM J. Optim. 7(1): 86-125 (1997) - 1996
- [j33]Masakazu Kojima:
Basic lemmas in polynomial-time infeasible-interiorpoint methods for linear programs. Ann. Oper. Res. 62(1): 1-28 (1996) - [j32]Phan Thien Thach, Masakazu Kojima:
A Generalized Convexity and Variational Inequality for Quasi-Convex Minimization. SIAM J. Optim. 6(1): 212-226 (1996) - 1995
- [j31]Shinji Mizuno, Masakazu Kojima, Michael J. Todd:
Infeasible-Interior-Point Primal-Dual Potential-Reduction Algorithms for Linear Programming. SIAM J. Optim. 5(1): 52-67 (1995) - 1994
- [j30]Masakazu Kojima, Toshihito Noma, Akiko Yoshise:
Global convergence in infeasible-interior-point algorithms. Math. Program. 65: 43-72 (1994) - 1993
- [j29]Masakazu Kojima, Nimrod Megiddo, Shinji Mizuno:
A General Framework of Continuation Methods for Complementarity Problems. Math. Oper. Res. 18(4): 945-963 (1993) - [j28]Masakazu Kojima, Nimrod Megiddo, Shinji Mizuno:
Theoretical convergence of large-step primal-dual interior point algorithms for linear programming. Math. Program. 59: 1-21 (1993) - [j27]Masakazu Kojima, Shinji Mizuno, Akiko Yoshise:
A little theorem of the big Mu in interior point algorithms. Math. Program. 59: 361-375 (1993) - [j26]Masakazu Kojima, Nimrod Megiddo, Shinji Mizuno:
A primal-dual infeasible-interior-point algorithm for linear programming. Math. Program. 61: 263-280 (1993) - [j25]Tohru Ishihara, Masakazu Kojima:
On the big Mu in the affine scaling algorithm. Math. Program. 62: 85-93 (1993) - [j24]Masakazu Kojima, Yoshifumi Kurita, Shinji Mizuno:
Large-Step Interior Point Algorithms for Linear Complementarity Problems. SIAM J. Optim. 3(2): 398-412 (1993) - 1992
- [j23]Masakazu Kojima, Nimrod Megiddo, Yinyu Ye:
An interior point potential reduction algorithm for the linear complementarity problem. Math. Program. 54: 267-279 (1992) - 1991
- [b1]Masakazu Kojima, Nimrod Megiddo, Toshihito Noma, Akiko Yoshise:
A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems. Lecture Notes in Computer Science 538, Springer 1991, ISBN 3-540-54509-3 - [j22]Masakazu Kojima, Nimrod Megiddo, Toshihito Noma:
Homotopy Continuation Methods for Nonlinear Complementarity Problems. Math. Oper. Res. 16(4): 754-774 (1991) - [j21]Masakazu Kojima, Shinji Mizuno, Akiko Yoshise:
An O(square root(n) * L) iteration potential reduction algorithm for linear complementarity problems. Math. Program. 50: 331-342 (1991) - [j20]Masakazu Kojima, Nimrod Megiddo, Toshihito Noma, Akiko Yoshise:
A unified approach to interior point algorithms for linear complementarity problems: A summary. Oper. Res. Lett. 10(5): 247-254 (1991) - 1990
- [j19]Masakazu Kojima, Shinji Mizuno, Toshihito Noma:
Limiting Behavior of Trajectories Generated by a Continuation Method for Monotone Complementarity Problems. Math. Oper. Res. 15(4): 662-675 (1990) - [j18]Masakazu Kojima, Shinji Mizuno, Akiko Yoshise:
Ellipsoids that Contain All the Solutions of a Positive Semi-Definite Linear Complementarity Problem. Math. Program. 48: 415-435 (1990)
1980 – 1989
- 1989
- [j17]Masakazu Kojima, Shinji Mizuno, Toshihito Noma:
A new continuation method for complementarity problems with uniformP-functions. Math. Program. 43(1-3): 107-113 (1989) - [j16]Masakazu Kojima, Shinji Mizuno, Akiko Yoshise:
A polynomial-time algorithm for a class of linear complementarity problems. Math. Program. 44(1-3): 1-26 (1989) - 1987
- [j15]Yinyu Ye, Masakazu Kojima:
Recovering optimal dual solutions in Karmarkar's polynomial algorithm for linear programming. Math. Program. 39(3): 305-317 (1987) - 1986
- [j14]Masakazu Kojima:
Determining Basic Variables of Optimal Solutions in Karmarkar's New LP Algorithm. Algorithmica 1(4): 499-515 (1986) - 1985
- [j13]Masakazu Kojima, Akira Okada, Susumu Shindoh:
Strongly Stable Equilibrium Points of N-Person Noncooperative Games. Math. Oper. Res. 10(4): 650-663 (1985) - [j12]Masakazu Kojima, Shin'ichi Oishi, Yuzo Sumi, Kazuo Horiuchi:
A PL homotopy continuation method with the use of an odd map for the artificial level. Math. Program. 31(2): 235-244 (1985) - 1984
- [j11]Masakazu Kojima, Yoshitsugu Yamamoto:
A unified approach to the implementation of several restart fixed point algorithms and a new variable dimension algorithm. Math. Program. 28(3): 288-328 (1984) - 1983
- [j10]Masakazu Kojima, Shinji Mizuno:
Computation of all solutions to a system of polynomial equations. Math. Program. 25(2): 131-157 (1983) - 1982
- [j9]Masakazu Kojima, Yoshitsugu Yamamoto:
Variable dimension algorithms: Basic theory, interpretations and extensions of some existing methods. Math. Program. 24(1): 177-215 (1982) - 1981
- [j8]Masakazu Kojima, Romesh Saigal:
On the number of solutions to a class of complementarity problems. Math. Program. 21(1): 190-203 (1981)
1970 – 1979
- 1979
- [j7]Masakazu Kojima:
A Complementary Pivoting Approach to Parametric Nonlinear Programming. Math. Oper. Res. 4(4): 464-477 (1979) - [j6]Masakazu Kojima, Hisakazu Nishino, Naohiko Arima:
A PL homotopy for finding all the roots of a polynomial. Math. Program. 16(1): 37-62 (1979) - [j5]Masakazu Kojima, Romesh Saigal:
On the number of solutions to a class of linear complementarity problems. Math. Program. 17(1): 136-139 (1979) - 1978
- [j4]Masakazu Kojima:
Studies on Piecewise-Linear Approximations of Piecewise-C1 Mappings in Fixed Points and Complementarity Theory. Math. Oper. Res. 3(1): 17-36 (1978) - [j3]Masakazu Kojima:
A modification of todd's triangulation J3. Math. Program. 15(1): 223-227 (1978) - 1977
- [j2]Nimrod Megiddo, Masakazu Kojima:
On the existence and uniqueness of solutions in nonlinear complementarity theory. Math. Program. 12(1): 110-130 (1977) - 1975
- [j1]Masakazu Kojima:
A unification of the existence theorems of the nonlinear complementarity problem. Math. Program. 9(1): 257-277 (1975)
Coauthor Index
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