Edit Profile (opens in new tab) Kojima, Masakazu Compute Distance To: Compute Author ID: kojima.masakazu Published as: Kojima, Masakazu; Kojima, M. Homepage: http://www.opt.c.titech.ac.jp/kojima/index.html External Links: MGP Documents Indexed: 140 Publications since 1972 1 Contribution as Editor Co-Authors: 53 Co-Authors with 123 Joint Publications 1,226 Co-Co-Authors all top 5 Co-Authors 15 single-authored 37 Kim, Sunyoung 14 Fujisawa, Katsuki 14 Mizuno, Shinji 12 Takeda, Akiko 11 Toh, Kim Chuan 10 Megiddo, Nimrod 10 Nakata, Kazuhide 10 Shindoh, Susumu 9 Fukuda, Mituhiro 9 Shida, Masayuki 8 Yoshise, Akiko 7 Waki, Hayato 6 Arima, Naohiko 6 Noma, Toshihito 6 Yamashita, Makoto 5 Muramatsu, Masakazu 5 Murota, Kazuo 5 Tunçel, Levent 4 Saigal, Romesh 3 Dai, Yang 3 Fukutake, Takayoshi 3 Kobayashi, Kazuhiro 3 Maki, Haruo 3 Mevissen, Martin 3 Tamari, Fumikazu 2 Fujie, Tetsuya 2 Gunji, Takayuki 2 Hara, Shinji 2 Ito, Naoki 2 Kojima, Sadayoshi 2 Mizutani, Tomohiko 2 Nishino, Hisakazu 2 Yamamoto, Yoshitsugu 2 Ye, Yinyu 2 Zhang, Shao-Liang 1 Arima, Naohiko 1 Burer, Samuel 1 Fujishige, Satoru 1 Fukaya, Yusuke 1 Fukuda, Komei 1 Hamada, Sayaka 1 Hayashi, Taichi 1 Hirabayashi, Ryuichi 1 Ishihara, Tohru 1 Kanno, Yoshihiro 1 Kono, Tatsuhito 1 Kurita, Yoshifumi 1 Matsumoto, Toshihiro 1 Nie, Jiawang 1 Nita, S. 1 Oishi, Shin’ichi 1 Sekine, Tomoharu 1 Takayama, Nobuki 1 Takehara, Hitoshi 1 Tamura, Akihisa 1 Thach, Phan Thien 1 Todd, Michael J. 1 Toint, Philippe L. 1 Vo, Cong 1 Yang, Bing all top 5 Serials 22 Mathematical Programming. Series A. Series B 15 SIAM Journal on Optimization 11 Mathematical Programming 10 Journal of the Operations Research Society of Japan 10 RIMS Kokyuroku 9 Mathematics of Operations Research 6 Journal of Global Optimization 6 Computational Optimization and Applications 6 Optimization Methods & Software 6 Pacific Journal of Optimization 3 Computing 2 ACM Transactions on Mathematical Software 2 Mathematical Programming Study 2 Linear Algebra and its Applications 2 The Journal of Fuzzy Mathematics 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Operations Research Letters 1 Applied Numerical Mathematics 1 Algorithmica 1 Discrete & Computational Geometry 1 Asia-Pacific Journal of Operational Research 1 Annals of Operations Research 1 Japan Journal of Industrial and Applied Mathematics 1 European Journal of Operational Research 1 SIAM Journal on Applied Mathematics 1 Journal of Inequalities and Applications 1 Scientiae Mathematicae Japonicae 1 Discrete Optimization 1 Lecture Notes in Computer Science all top 5 Fields 121 Operations research, mathematical programming (90-XX) 49 Numerical analysis (65-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 General topology (54-XX) 7 Computer science (68-XX) 6 Real functions (26-XX) 4 Field theory and polynomials (12-XX) 4 Functions of a complex variable (30-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 118 Publications have been cited 2,262 times in 1,404 Documents Cited by ▼ Year ▼ A unified approach to interior point algorithms for linear complementarity problems: A summary. Zbl 0745.90069Kojima, Masakazu; Megiddo, Nimrod; Noma, Toshihito; Yoshise, Akiko 178 1991 Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices. Zbl 0872.90098Kojima, Masakazu; Shindoh, Susumu; Hara, Shinji 156 1997 A polynomial-time algorithm for a class of linear complementarity problems. Zbl 0676.90087Kojima, Masakazu; Mizuno, Shinji; Yoshise, Akiko 130 1989 Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity. Zbl 1109.65058Waki, Hayato; Kim, Sunyoung; Kojima, Masakazu; Muramatsu, Masakazu 117 2006 A primal-dual infeasible-interior-point algorithm for linear programming. Zbl 0808.90093Kojima, Masakazu; Megiddo, Nimrod; Mizuno, Shinji 107 1993 A primal-dual interior point algorithm for linear programming. Zbl 0708.90049Kojima, Masakazu; Mizuno, Shinji; Yoshise, Akiko 103 1989 Exploiting sparsity in semidefinite programming via matrix completion. I: General framework. Zbl 1010.90053Fukuda, Mituhiro; Kojima, Masakazu; Murota, Kazuo; Nakata, Kazuhide 71 2000 An \(O(\sqrt n L)\) iteration potential reduction algorithm for linear complementarity problems. Zbl 0738.90077Kojima, Masakazu; Mizuno, Shinji; Yoshise, Akiko 63 1991 Local convergence of predictor-corrector infeasible-interior-point algorithms for SDPs and SDLCPs. Zbl 0897.90183Kojima, Masakazu; Shida, Masayuki; Shindoh, Susumu 53 1998 Extension of Newton and quasi-Newton methods to systems of \(PC^ 1\) equations. Zbl 0611.65032Kojima, Masakazu; Shindo, Susumu 53 1986 Homotopy continuation methods for nonlinear complementarity problems. Zbl 0744.90087Kojima, Masakazu; Megiddo, Nimrod; Noma, Toshihito 46 1991 Implementation and evaluation of SDPA 6.0 (SemiDefinite Programming Algorithm 6.0). Zbl 1106.90366Yamashita, Makoto; Fujisawa, Katsuki; Kojima, Masakazu 44 2003 Exploiting sparsity in semidefinite programming via matrix completion. II: Implementation and numerical results. Zbl 1030.90081Nakata, Kazuhide; Fujisawa, Katsuki; Fukuda, Mituhiro; Kojima, Masakazu; Murota, Kazuo 40 2003 Sparsity in sums of squares of polynomials. Zbl 1079.90092Kojima, Masakazu; Kim, Sunyoung; Waki, Hayato 38 2005 Semidefinite programming relaxation for nonconvex quadratic programs. Zbl 0881.90101Fujie, Tetsuya; Kojima, Masakazu 38 1997 An interior point potential reduction algorithm for the linear complementarity problem. Zbl 0764.90083Kojima, Masakazu; Megiddo, Nimrod; Ye, Yinyu 37 1992 Recovering optimal dual solutions in Karmarkar’s polynomial algorithm for linear programming. Zbl 0639.90062Ye, Yinyu; Kojima, Masakazu 35 1987 Second order cone programming relaxation of nonconvex quadratic optimization problems. Zbl 1109.90327Kim, Sunyoung; Kojima, Masakazu 34 2001 A unified approach to interior point algorithms for linear complementary problems. Zbl 0766.90077 30 1991 Exact solutions of some nonconvex quadratic optimization problems via SDP and SOCP relaxations. Zbl 1043.90060Kim, Sunyoung; Kojima, Masakazu 30 2003 Branch-and-cut algorithms for the bilinear matrix inequality eigenvalue problem. Zbl 0979.65051Fukuda, Mituhiro; Kojima, Masakazu 28 2001 A Lagrangian-DNN relaxation: a fast method for computing tight lower bounds for a class of quadratic optimization problems. Zbl 1342.90123Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan 27 2016 Infeasible-interior-point primal-dual potential-reduction algorithms for linear programming. Zbl 0832.90076Mizuno, Shinji; Kojima, Masakazu; Todd, Michael J. 26 1995 A unification of the existence theorems of the nonlinear complementarity problem. Zbl 0347.90039Kojima, Masakazu 25 1975 Limiting behavior of trajectories generated by a continuation method for monotone complementarity problems. Zbl 0719.90085Kojima, Masakazu; Mizuno, Shinji; Noma, Toshihito 25 1990 A new continuation method for complementarity problems with uniform P- functions. Zbl 0673.90084Kojima, Masakazu; Mizuno, Shinji; Noma, Toshihito 23 1989 Continuous deformation of nonlinear programs. Zbl 0569.90074Kojima, Masakazu; Hirabayashi, Ryuichi 23 1984 Exploiting sparsity in primal-dual interior-point methods for semidefinite programming. Zbl 0887.90156Fujisawa, Katsuki; Kojima, Masakazu; Nakata, Kazuhide 23 1997 Exploiting sparsity in linear and nonlinear matrix inequalities via positive semidefinite matrix completion. Zbl 1229.90116Kim, Sunyoung; Kojima, Masakazu; Mevissen, Martin; Yamashita, Makoto 23 2011 A numerical algorithm for block-diagonal decomposition of matrix \(*\)-algebras with application to semidefinite programming. Zbl 1204.65068Murota, Kazuo; Kanno, Yoshihiro; Kojima, Masakazu; Kojima, Sadayoshi 22 2010 Cones of matrices and successive convex relaxations of nonconvex sets. Zbl 0966.90062Kojima, Masakazu; Tunçel, Levent 22 2000 On the existence and uniqueness of solutions in nonlinear complementarity theory. Zbl 0363.90102Megiddo, Nimrod; Kojima, Masakazu 21 1977 Variable dimension algorithms: Basic theory, interpretations and extensions of some existing methods. Zbl 0509.90070Kojima, Masakazu; Yamamoto, Yoshitsugu 20 1982 Generalized Lagrangian duals and sums of squares relaxations of sparse polynomial optimization problems. Zbl 1114.90085Kim, Sunyoung; Kojima, Masakazu; Waki, Hayato 18 2005 Global convergence in infeasible-interior-point algorithms. Zbl 0820.90106Kojima, Masakazu; Noma, Toshihito; Yoshise, Akiko 18 1994 Solving some large scale semidefinite programs via the conjugate residual method. Zbl 1008.90043Toh, Kim-Chuan; Kojima, Masakazu 18 2002 Strongly stable stationary solutions in nonlinear programs. Zbl 0478.90062Kojima, Masakazu 17 1980 A predictor-corrector interior-point algorithm for the semidefinite linear complementarity problem using the Alizadeh-Haeberly-Overton search direction. Zbl 0997.90086Kojima, Masakazu; Shida, Masayuki; Shindoh, Susumu 17 1999 On the number of solutions to a class of linear complementarity problems. Zbl 0413.90073Kojima, M.; Saigal, Romesh 17 1979 A note on sparse SOS and SDP relaxations for polynomial optimization problems over symmetric cones. Zbl 1153.90545Kojima, Masakazu; Muramatsu, Masakazu 16 2009 A quadratically constrained quadratic optimization model for completely positive cone programming. Zbl 1304.90152Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu 16 2013 Numerical evaluation of SDPA (semidefinite programming algorithm). Zbl 0952.90047Fujisawa, Katsuki; Fukuda, Mituhiro; Kojima, Masakazu; Nakata, Kazuhide 16 2000 PHoM – a polyhedral homotopy continuation method for polynomial systems. Zbl 1061.65041Gunji, Takayuki; Kim, Sunyoung; Kojima, Masakazu; Takeda, Akiko; Fujisawa, Katsuki; Mizutani, Tomohiko 16 2004 An extension of sums of squares relaxations to polynomial optimization problems over symmetric cones. Zbl 1210.90159Kojima, Masakazu; Muramatsu, Masakazu 15 2007 Existence and uniqueness of search directions in interior-point algorithms for the SDP and the monotone SDLCP. Zbl 0913.90252Shida, Masayuki; Shindoh, Susumu; Kojima, Masakazu 15 1998 Exploiting sparsity in SDP relaxation for sensor network localization. Zbl 1190.65096Kim, Sunyoung; Kojima, Masakazu; Waki, Hayato 15 2009 Simplified copositive and Lagrangian relaxations for linearly constrained quadratic optimization problems in continuous and binary variables. Zbl 1327.90161Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu 13 2014 Strongly stable equilibrium points of n-person noncooperative games. Zbl 0581.90098Kojima, M.; Okada, A.; Shindoh, S. 12 1985 Theoretical convergence of large-step primal-dual interior point algorithms for linear programming. Zbl 0780.90063Kojima, Masakazu; Megiddo, Nimrod; Mizuno, Shinji 12 1993 A unified approach to the implementation of several restart fixed point algorithms and a new variable dimension algorithm. Zbl 0539.65036Kojima, Masakazu; Yamamoto, Yoshitsugu 12 1984 A general framework of continuation methods for complementarity problems. Zbl 0801.90108Kojima, Masakazu; Megiddo, Nimrod; Mizuno, Shinji 11 1993 Algorithm 920: SFSDP: a sparse version of full semidefinite programming relaxation for sensor network localization problems. Zbl 1365.65163Kim, Sunyoung; Kojima, Masakazu; Waki, Hayato; Yamashita, Makato 11 2012 On the relationship between conditions that insure a PL mapping is a homeomorphism. Zbl 0441.57018Kojima, M.; Saigal, Romesh 10 1980 Dynamic enumeration of all mixed cells. Zbl 1113.65055Mizutani, Tomohiko; Takeda, Akiko; Kojima, Masakazu 10 2007 Correlative sparsity in primal-dual interior-point methods for LP, SDP, and SOCP. Zbl 1191.90032Kobayashi, Kazuhiro; Kim, Sunyoung; Kojima, Masakazu 10 2008 Large-step interior point algorithms for linear complementarity problems. Zbl 0781.90085Kojima, Masakazu; Kurita, Yoshifumi; Mizuno, Shinji 10 1993 Studies on piecewise-linear approximations of piecewise-\(C^1\) mappings in fixed points and complementarity theory. Zbl 0396.41012Kojima, Masakazu 10 1978 Linear algebra for semidefinite programming. Zbl 0971.90089Kojima, Masakazu; Kojima, Sadayoshi; Hara, Shinji 9 1997 A PL homotopy for finding all the roots of a polynomial. Zbl 0395.65016Kojima, Masakazu; Nishino, Hisakazu; Arima, Naohiko 9 1979 Computational methods for solving the nonlinear complementarity problem. Zbl 0406.90071Kojima, Masakazu 9 1974 A general framework for convex relaxation of polynomial optimization problems over cones. Zbl 1049.90052Kojima, Masakazu; Kim, Sunyoung; Waki, Hayato 9 2003 Search directions in the SDP and the monotone SDLCP: Generalization and inexact computation. Zbl 0948.90115Kojima, Masakazu; Shida, Masayuki; Shindoh, Susumu 9 1999 Second order cone programming relaxation of a positive semidefinite constraint. Zbl 1142.90466Kim, Sunyoung; Kojima, Masakazu; Yamashita, Makoto 8 2003 A little theorem of the big \({\mathcal M}\) in interior point algorithms. Zbl 0793.90083Kojima, Masakazu; Mizuno, Shinji; Yoshise, Akiko 8 1993 Computation of all solutions to a system of polynomial equations. Zbl 0517.90062Kojima, Masakazu; Mizuno, Shinji 8 1983 Faster, but weaker, relaxations for quadratically constrained quadratic programs. Zbl 1303.90077Burer, Samuel; Kim, Sunyoung; Kojima, Masakazu 7 2014 On the homotopic approach to systems of equations with separable mappings. Zbl 0396.65024Kojima, Masakazu 7 1978 Recognizing underlying sparsity in optimization. Zbl 1163.90026Kim, Sunyoung; Kojima, Masakazu; Toint, Philippe 7 2009 Basic lemmas in polynomial-time infeasible-interior-point methods for linear programs. Zbl 0848.90084Kojima, Masakazu 7 1996 A robust Lagrangian-DNN method for a class of quadratic optimization problems. Zbl 1366.90152Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan 7 2017 Determining basic variables of optimal solutions in Karmarkar’s new LP algorithm. Zbl 0661.90057Kojima, Masakazu 7 1986 Extension of completely positive cone relaxation to moment cone relaxation for polynomial optimization. Zbl 1336.90068Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu 6 2016 Numerical stability of path tracing in polyhedral homotopy continuation methods. Zbl 1061.65042Kim, S.; Kojima, M. 6 2004 Algorithm 996: BBCPOP: a sparse doubly nonnegative relaxation of polynomial optimization problems with binary, box, and complementarity constraints. Zbl 1486.65065Ito, Naoki; Kim, Sunyoung; Kojima, Masakazu; Takeda, Akiko; Toh, Kim-Chuan 6 2019 Computing all nonsingular solutions of cyclic-\(n\) polynomial using polyhedral homotopy continuation methods. Zbl 1018.65068Dai, Yang; Kim, Sunyoung; Kojima, Masakazu 5 2003 Discretization and localization in successive convex relaxation methods for nonconvex quadratic optimization. Zbl 1060.90058Kojima, Masakazu; Tunçel, Levent 5 2000 Lagrangian dual interior-point methods for semidefinite programs. Zbl 1035.90054Fukuda, Mituhiro; Kojima, Masakazu; Shida, Masayuki 5 2002 A modification of Todd’s triangulation \(J_3\). Zbl 0385.65029Kojima, Masakazu 4 1978 On the number of solutions to a class of complementarity problems. Zbl 0461.90066Kojima, M.; Saigal, Romesh 3 1981 An introduction to variable dimension algorithms for solving systems of equations. Zbl 0471.65030Kojima, Masakazu 3 1981 Centers of monotone generalized complementarity problems. Zbl 0892.90175Shida, Masayuki; Shindoh, Susumu; Kojima, Masakazu 3 1997 Enumeration of all solutions of a combinatorial linear inequality system arising from the polyhedral homotopy continuation method. Zbl 1031.65074Takeda, Akiko; Kojima, Masakazu; Fujisawa, Katsuki 3 2002 Some fundamental properties of successive convex relaxation methods on LCP and related problems. Zbl 1046.90062Kojima, Masakazu; Tunçel, Levent 3 2002 On the finite convergence of successive SDP relaxation methods. Zbl 1058.90048Kojima, Masakazu; Tuncel, Levent 3 2002 Solving partial differential equations via sparse SDP relaxations. Zbl 1161.90458Mevissen, Martin; Kojima, Masakazu; Nie, Jiawang; Takayama, Nobuki 3 2008 Sparse second order cone programming formulations for convex optimization problems. Zbl 1152.90560Kobayashi, Kazuhiro; Kim, Sunyoung; Kojima, Masakazu 3 2008 Lagrangian-conic relaxations. I: A unified framework and its applications to quadratic optimization problems. Zbl 1474.90314Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan 3 2018 A complementary pivoting approach to parametric nonlinear programming. Zbl 0428.49028Kojima, Masakazu 2 1979 Reduction of monotone linear complementarity problems over cones to linear programs over cones. Zbl 0903.90165Kojima, M.; Shida, M.; Shindoh, S. 2 1997 A conversion of an SDP having free variables into the standard form SDP. Zbl 1146.90492Kobayashi, Kazuhiro; Nakata, Kazuhide; Kojima, Masakazu 2 2007 A note on the Nesterov-Todd and the Kojima-Shindoh-Hara search directions in semidefinite programming. Zbl 0957.90104Kojima, Masakazu; Shida, Masayuki; Shindoh, Susumu 2 1999 Binary quadratic optimization problems that are difficult to solve by conic relaxations. Zbl 1387.90175Kim, Sunyoung; Kojima, Masakazu 2 2017 An extension of Lemke’s method to the piecewise linear complementarity problem. Zbl 0355.90060Kojima, Masakazu; Nishino, Hisakazu; Sekine, Tomoharu 2 1976 A generalized convexity and variational inequality for quasi-convex minimization. Zbl 0841.49019Thach, Phan Thien; Kojima, Masakazu 2 1996 Towards implementations of successive convex relaxation methods for nonconvex quadratic optimization problems. Zbl 0966.65054Takeda, Akiko; Dai, Yang; Fukuda, Mituhiro; Kojima, Masakazu 2 2000 A geometrical analysis on convex conic reformulations of quadratic and polynomial optimization problems. Zbl 1491.90112Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan 2 2020 Doubly nonnegative relaxations are equivalent to completely positive reformulations of quadratic optimization problems with block-clique graph structures. Zbl 1444.90090Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan 2 2020 A property of matrices with positive determinants. Zbl 0436.15008Kojima, M.; Saigal, Romesh 1 1980 A note on ”A new algorithm for computing fixed points” by van der Laan and Talman. Zbl 0449.65020Kojima, Masakazu 1 1980 On the big \({\mathcal M}\) in the affine scaling algorithm. Zbl 0804.90088Ishihara, Tohru; Kojima, Masakazu 1 1993 A Newton-bracketing method for a simple conic optimization problem. Zbl 1470.90063Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan 1 2021 A geometrical analysis on convex conic reformulations of quadratic and polynomial optimization problems. Zbl 1491.90112Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan 2 2020 Doubly nonnegative relaxations are equivalent to completely positive reformulations of quadratic optimization problems with block-clique graph structures. Zbl 1444.90090Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan 2 2020 Algorithm 996: BBCPOP: a sparse doubly nonnegative relaxation of polynomial optimization problems with binary, box, and complementarity constraints. Zbl 1486.65065Ito, Naoki; Kim, Sunyoung; Kojima, Masakazu; Takeda, Akiko; Toh, Kim-Chuan 6 2019 Lagrangian-conic relaxations. II: Applications to polynomial optimization problems. Zbl 1454.90041Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan 1 2019 Lagrangian-conic relaxations. I: A unified framework and its applications to quadratic optimization problems. Zbl 1474.90314Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan 3 2018 Equivalences and differences in conic relaxations of combinatorial quadratic optimization problems. Zbl 1404.90096Ito, N.; Kim, Sunyoung; Kojima, M.; Takeda, A.; Toh, K.-C. 1 2018 A robust Lagrangian-DNN method for a class of quadratic optimization problems. Zbl 1366.90152Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan 7 2017 Binary quadratic optimization problems that are difficult to solve by conic relaxations. Zbl 1387.90175Kim, Sunyoung; Kojima, Masakazu 2 2017 A Lagrangian-DNN relaxation: a fast method for computing tight lower bounds for a class of quadratic optimization problems. Zbl 1342.90123Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan 27 2016 Extension of completely positive cone relaxation to moment cone relaxation for polynomial optimization. Zbl 1336.90068Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu 6 2016 Simplified copositive and Lagrangian relaxations for linearly constrained quadratic optimization problems in continuous and binary variables. Zbl 1327.90161Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu 13 2014 Faster, but weaker, relaxations for quadratically constrained quadratic programs. Zbl 1303.90077Burer, Samuel; Kim, Sunyoung; Kojima, Masakazu 7 2014 A quadratically constrained quadratic optimization model for completely positive cone programming. Zbl 1304.90152Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu 16 2013 Algorithm 920: SFSDP: a sparse version of full semidefinite programming relaxation for sensor network localization problems. Zbl 1365.65163Kim, Sunyoung; Kojima, Masakazu; Waki, Hayato; Yamashita, Makato 11 2012 Exploiting sparsity in SDP relaxation of polynomial optimization problems. Zbl 1334.90107Kim, Sunyoung; Kojima, Masakazu 1 2012 Exploiting sparsity in linear and nonlinear matrix inequalities via positive semidefinite matrix completion. Zbl 1229.90116Kim, Sunyoung; Kojima, Masakazu; Mevissen, Martin; Yamashita, Makoto 23 2011 A numerical algorithm for block-diagonal decomposition of matrix \(*\)-algebras with application to semidefinite programming. Zbl 1204.65068Murota, Kazuo; Kanno, Yoshihiro; Kojima, Masakazu; Kojima, Sadayoshi 22 2010 Solving polynomial least squares problems via semidefinite programming relaxations. Zbl 1181.90224Kim, Sunyoung; Kojima, Masakazu 1 2010 A note on sparse SOS and SDP relaxations for polynomial optimization problems over symmetric cones. Zbl 1153.90545Kojima, Masakazu; Muramatsu, Masakazu 16 2009 Exploiting sparsity in SDP relaxation for sensor network localization. Zbl 1190.65096Kim, Sunyoung; Kojima, Masakazu; Waki, Hayato 15 2009 Recognizing underlying sparsity in optimization. Zbl 1163.90026Kim, Sunyoung; Kojima, Masakazu; Toint, Philippe 7 2009 Invariance under affine transformation in semidefinite programming relaxation for polynomial optimization problems. Zbl 1192.90138Waki, Hayato; Muramatsu, Masakazu; Kojima, Masakazu 1 2009 Correlative sparsity in primal-dual interior-point methods for LP, SDP, and SOCP. Zbl 1191.90032Kobayashi, Kazuhiro; Kim, Sunyoung; Kojima, Masakazu 10 2008 Solving partial differential equations via sparse SDP relaxations. Zbl 1161.90458Mevissen, Martin; Kojima, Masakazu; Nie, Jiawang; Takayama, Nobuki 3 2008 Sparse second order cone programming formulations for convex optimization problems. Zbl 1152.90560Kobayashi, Kazuhiro; Kim, Sunyoung; Kojima, Masakazu 3 2008 Efficient evaluation of polynomials and their partial derivatives in homotopy continuation methods. Zbl 1173.90513Kojima, Masakazu 1 2008 Equality based contraction of semidefinite programming relaxations in polynomial optimization. Zbl 1176.90581Vo, Cong; Muramatsu, Masakazu; Kojima, Masakazu 1 2008 An extension of sums of squares relaxations to polynomial optimization problems over symmetric cones. Zbl 1210.90159Kojima, Masakazu; Muramatsu, Masakazu 15 2007 Dynamic enumeration of all mixed cells. Zbl 1113.65055Mizutani, Tomohiko; Takeda, Akiko; Kojima, Masakazu 10 2007 A conversion of an SDP having free variables into the standard form SDP. Zbl 1146.90492Kobayashi, Kazuhiro; Nakata, Kazuhide; Kojima, Masakazu 2 2007 Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity. Zbl 1109.65058Waki, Hayato; Kim, Sunyoung; Kojima, Masakazu; Muramatsu, Masakazu 117 2006 Sparsity in sums of squares of polynomials. Zbl 1079.90092Kojima, Masakazu; Kim, Sunyoung; Waki, Hayato 38 2005 Generalized Lagrangian duals and sums of squares relaxations of sparse polynomial optimization problems. Zbl 1114.90085Kim, Sunyoung; Kojima, Masakazu; Waki, Hayato 18 2005 PHoM – a polyhedral homotopy continuation method for polynomial systems. Zbl 1061.65041Gunji, Takayuki; Kim, Sunyoung; Kojima, Masakazu; Takeda, Akiko; Fujisawa, Katsuki; Mizutani, Tomohiko 16 2004 Numerical stability of path tracing in polyhedral homotopy continuation methods. Zbl 1061.65042Kim, S.; Kojima, M. 6 2004 Implementation and evaluation of SDPA 6.0 (SemiDefinite Programming Algorithm 6.0). Zbl 1106.90366Yamashita, Makoto; Fujisawa, Katsuki; Kojima, Masakazu 44 2003 Exploiting sparsity in semidefinite programming via matrix completion. II: Implementation and numerical results. Zbl 1030.90081Nakata, Kazuhide; Fujisawa, Katsuki; Fukuda, Mituhiro; Kojima, Masakazu; Murota, Kazuo 40 2003 Exact solutions of some nonconvex quadratic optimization problems via SDP and SOCP relaxations. Zbl 1043.90060Kim, Sunyoung; Kojima, Masakazu 30 2003 A general framework for convex relaxation of polynomial optimization problems over cones. Zbl 1049.90052Kojima, Masakazu; Kim, Sunyoung; Waki, Hayato 9 2003 Second order cone programming relaxation of a positive semidefinite constraint. Zbl 1142.90466Kim, Sunyoung; Kojima, Masakazu; Yamashita, Makoto 8 2003 Computing all nonsingular solutions of cyclic-\(n\) polynomial using polyhedral homotopy continuation methods. Zbl 1018.65068Dai, Yang; Kim, Sunyoung; Kojima, Masakazu 5 2003 Solving some large scale semidefinite programs via the conjugate residual method. Zbl 1008.90043Toh, Kim-Chuan; Kojima, Masakazu 18 2002 Lagrangian dual interior-point methods for semidefinite programs. Zbl 1035.90054Fukuda, Mituhiro; Kojima, Masakazu; Shida, Masayuki 5 2002 Enumeration of all solutions of a combinatorial linear inequality system arising from the polyhedral homotopy continuation method. Zbl 1031.65074Takeda, Akiko; Kojima, Masakazu; Fujisawa, Katsuki 3 2002 Some fundamental properties of successive convex relaxation methods on LCP and related problems. Zbl 1046.90062Kojima, Masakazu; Tunçel, Levent 3 2002 On the finite convergence of successive SDP relaxation methods. Zbl 1058.90048Kojima, Masakazu; Tuncel, Levent 3 2002 Incomplete orthogonalization preconditioners for solving large and dense linear systems which arise from semidefinite programming. Zbl 0994.65050Zhang, Shao-Liang; Nakata, Kazuhide; Kojima, Masakazu 1 2002 CMPSM: A continuation method for polynomial systems (MATLAB version). Zbl 1011.68191Kim, Sunyoung; Kojima, Masakazu 1 2002 Second order cone programming relaxation of nonconvex quadratic optimization problems. Zbl 1109.90327Kim, Sunyoung; Kojima, Masakazu 34 2001 Branch-and-cut algorithms for the bilinear matrix inequality eigenvalue problem. Zbl 0979.65051Fukuda, Mituhiro; Kojima, Masakazu 28 2001 Complexity analysis of successive convex relaxation methods for nonconvex sets. Zbl 1073.90580Kojima, Masakazu; Takeda, Akiko 1 2001 Successive convex relaxation approach to bilevel quadratic optimization problems. Zbl 0983.90066Takeda, Akiko; Kojima, Masakazu 1 2001 Exploiting sparsity in semidefinite programming via matrix completion. I: General framework. Zbl 1010.90053Fukuda, Mituhiro; Kojima, Masakazu; Murota, Kazuo; Nakata, Kazuhide 71 2000 Cones of matrices and successive convex relaxations of nonconvex sets. Zbl 0966.90062Kojima, Masakazu; Tunçel, Levent 22 2000 Numerical evaluation of SDPA (semidefinite programming algorithm). Zbl 0952.90047Fujisawa, Katsuki; Fukuda, Mituhiro; Kojima, Masakazu; Nakata, Kazuhide 16 2000 Discretization and localization in successive convex relaxation methods for nonconvex quadratic optimization. Zbl 1060.90058Kojima, Masakazu; Tunçel, Levent 5 2000 Towards implementations of successive convex relaxation methods for nonconvex quadratic optimization problems. Zbl 0966.65054Takeda, Akiko; Dai, Yang; Fukuda, Mituhiro; Kojima, Masakazu 2 2000 A predictor-corrector interior-point algorithm for the semidefinite linear complementarity problem using the Alizadeh-Haeberly-Overton search direction. Zbl 0997.90086Kojima, Masakazu; Shida, Masayuki; Shindoh, Susumu 17 1999 Search directions in the SDP and the monotone SDLCP: Generalization and inexact computation. Zbl 0948.90115Kojima, Masakazu; Shida, Masayuki; Shindoh, Susumu 9 1999 A note on the Nesterov-Todd and the Kojima-Shindoh-Hara search directions in semidefinite programming. Zbl 0957.90104Kojima, Masakazu; Shida, Masayuki; Shindoh, Susumu 2 1999 The interior-point method software SDPA (semidefinite programming algorithm) for semidefinite programming problems. Zbl 0957.90505Fujisawa, Katsuki; Kojima, Masakazu; Nakata, Kazuhide 1 1999 Moderate nonconvexity = convexity + quadratic concavity. Zbl 0957.90508Kojima, Masakazu; Matsumoto, Toshihiro; Shida, Masayuki 1 1999 Local convergence of predictor-corrector infeasible-interior-point algorithms for SDPs and SDLCPs. Zbl 0897.90183Kojima, Masakazu; Shida, Masayuki; Shindoh, Susumu 53 1998 Existence and uniqueness of search directions in interior-point algorithms for the SDP and the monotone SDLCP. Zbl 0913.90252Shida, Masayuki; Shindoh, Susumu; Kojima, Masakazu 15 1998 Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices. Zbl 0872.90098Kojima, Masakazu; Shindoh, Susumu; Hara, Shinji 156 1997 Semidefinite programming relaxation for nonconvex quadratic programs. Zbl 0881.90101Fujie, Tetsuya; Kojima, Masakazu 38 1997 Exploiting sparsity in primal-dual interior-point methods for semidefinite programming. Zbl 0887.90156Fujisawa, Katsuki; Kojima, Masakazu; Nakata, Kazuhide 23 1997 Linear algebra for semidefinite programming. Zbl 0971.90089Kojima, Masakazu; Kojima, Sadayoshi; Hara, Shinji 9 1997 Centers of monotone generalized complementarity problems. Zbl 0892.90175Shida, Masayuki; Shindoh, Susumu; Kojima, Masakazu 3 1997 Reduction of monotone linear complementarity problems over cones to linear programs over cones. Zbl 0903.90165Kojima, M.; Shida, M.; Shindoh, S. 2 1997 Basic lemmas in polynomial-time infeasible-interior-point methods for linear programs. Zbl 0848.90084Kojima, Masakazu 7 1996 A generalized convexity and variational inequality for quasi-convex minimization. Zbl 0841.49019Thach, Phan Thien; Kojima, Masakazu 2 1996 Infeasible-interior-point primal-dual potential-reduction algorithms for linear programming. Zbl 0832.90076Mizuno, Shinji; Kojima, Masakazu; Todd, Michael J. 26 1995 Global convergence in infeasible-interior-point algorithms. Zbl 0820.90106Kojima, Masakazu; Noma, Toshihito; Yoshise, Akiko 18 1994 A primal-dual infeasible-interior-point algorithm for linear programming. Zbl 0808.90093Kojima, Masakazu; Megiddo, Nimrod; Mizuno, Shinji 107 1993 Theoretical convergence of large-step primal-dual interior point algorithms for linear programming. Zbl 0780.90063Kojima, Masakazu; Megiddo, Nimrod; Mizuno, Shinji 12 1993 A general framework of continuation methods for complementarity problems. Zbl 0801.90108Kojima, Masakazu; Megiddo, Nimrod; Mizuno, Shinji 11 1993 Large-step interior point algorithms for linear complementarity problems. Zbl 0781.90085Kojima, Masakazu; Kurita, Yoshifumi; Mizuno, Shinji 10 1993 A little theorem of the big \({\mathcal M}\) in interior point algorithms. Zbl 0793.90083Kojima, Masakazu; Mizuno, Shinji; Yoshise, Akiko 8 1993 On the big \({\mathcal M}\) in the affine scaling algorithm. Zbl 0804.90088Ishihara, Tohru; Kojima, Masakazu 1 1993 An interior point potential reduction algorithm for the linear complementarity problem. Zbl 0764.90083Kojima, Masakazu; Megiddo, Nimrod; Ye, Yinyu 37 1992 A unified approach to interior point algorithms for linear complementarity problems: A summary. Zbl 0745.90069Kojima, Masakazu; Megiddo, Nimrod; Noma, Toshihito; Yoshise, Akiko 178 1991 An \(O(\sqrt n L)\) iteration potential reduction algorithm for linear complementarity problems. Zbl 0738.90077Kojima, Masakazu; Mizuno, Shinji; Yoshise, Akiko 63 1991 Homotopy continuation methods for nonlinear complementarity problems. Zbl 0744.90087Kojima, Masakazu; Megiddo, Nimrod; Noma, Toshihito 46 1991 A unified approach to interior point algorithms for linear complementary problems. Zbl 0766.90077 30 1991 The relation between the path of centers and Smale’s regularization of the linear programming problem. Zbl 0727.65053Kojima, Masakazu; Megiddo, Nimrod 1 1991 Limiting behavior of trajectories generated by a continuation method for monotone complementarity problems. Zbl 0719.90085Kojima, Masakazu; Mizuno, Shinji; Noma, Toshihito 25 1990 Ellipsoids that contain all the solutions of a positive semi-definite linear complementarity problem. Zbl 0723.90079Kojima, Masakazu; Mizuno, Shinji; Yoshise, Akiko 1 1990 A polynomial-time algorithm for a class of linear complementarity problems. Zbl 0676.90087Kojima, Masakazu; Mizuno, Shinji; Yoshise, Akiko 130 1989 A primal-dual interior point algorithm for linear programming. Zbl 0708.90049Kojima, Masakazu; Mizuno, Shinji; Yoshise, Akiko 103 1989 A new continuation method for complementarity problems with uniform P- functions. Zbl 0673.90084Kojima, Masakazu; Mizuno, Shinji; Noma, Toshihito 23 1989 A dual interior primal simplex method for linear programming. Zbl 0658.90062Tamura, Akihisa; Takehara, Hitoshi; Fukuda, Komei; Fujishige, Satoru; Kojima, Masakazu 1 1988 Recovering optimal dual solutions in Karmarkar’s polynomial algorithm for linear programming. Zbl 0639.90062Ye, Yinyu; Kojima, Masakazu 35 1987 Extension of Newton and quasi-Newton methods to systems of \(PC^ 1\) equations. Zbl 0611.65032Kojima, Masakazu; Shindo, Susumu 53 1986 Determining basic variables of optimal solutions in Karmarkar’s new LP algorithm. Zbl 0661.90057Kojima, Masakazu 7 1986 Strongly stable equilibrium points of n-person noncooperative games. Zbl 0581.90098Kojima, M.; Okada, A.; Shindoh, S. 12 1985 A PL homotopy continuation method with the use of an odd map for the artificial level. Zbl 0593.65038Kojima, M.; Oishi, S.; Sumi, Y.; Horiuchi, K. 1 1985 Continuous deformation of nonlinear programs. Zbl 0569.90074Kojima, Masakazu; Hirabayashi, Ryuichi 23 1984 A unified approach to the implementation of several restart fixed point algorithms and a new variable dimension algorithm. Zbl 0539.65036Kojima, Masakazu; Yamamoto, Yoshitsugu 12 1984 ...and 18 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,579 Authors 53 Kojima, Masakazu 42 Kheirfam, Behrouz 36 Ye, Yinyu 26 Lasserre, Jean-Bernard 25 Kim, Sunyoung 19 Mizuno, Shinji 18 Potra, Florian-Alexandru 18 Roos, Cornelis 18 Todd, Michael J. 17 Terlaky, Tamás 16 Darvay, Zsolt 16 Toh, Kim Chuan 14 Pang, Jong-Shi 14 Tunçel, Levent 13 Huang, Zheng-Hai 13 Liu, Hongwei 13 Magron, Victor 13 Wang, Guoqiang 13 Yamashita, Makoto 12 Bai, Yanqin 12 Monteiro, Renato D. C. 11 Anstreicher, Kurt M. 11 Mansouri, Hossein 11 Muramatsu, Masakazu 11 Qi, Liqun 11 Zhang, Yin 10 Illés, Tibor 10 Megiddo, Nimrod 10 Zangiabadi, Maryam 10 Zhang, Mingwang 9 Asadi, Soodabeh 9 Gowda, Muddappa Seetharama 9 Júdice, Joaquim João 9 Liu, Changhe 9 Mitchell, John E. 9 Sturm, Jos F. 9 Sun, Jie 9 Tsuchiya, Takashi 9 Yamamoto, Yoshitsugu 9 Yoshise, Akiko 9 Zhang, Shuzhong 8 Burer, Samuel 8 Fang, Shu-Cherng 8 Gondzio, Jacek 8 Henrion, Didier 8 Jarre, Florian 8 Kanno, Yoshihiro 8 Povh, Janez 8 Yu, Bo 7 Anjos, Miguel F. 7 Dang, Chuangyin 7 Dey, Santanu Subhas 7 Han, Jiye 7 Jongen, Hubertus Th. 7 Klep, Igor 7 Li, Duan 7 Nakata, Kazuhide 7 Rigó, Petra Renáta 7 Talman, Dolf 7 Tapia, Richard A. 7 Tseng, Paul 7 Waki, Hayato 7 Wolkowicz, Henry 7 Xu, Chengxian 7 Zhao, Yunbin 6 Cerone, Vito 6 D’Apuzzo, Marco 6 de Klerk, Etienne 6 Deng, Zhibin 6 Harker, Patrick T. 6 Kanzow, Christian 6 Lesaja, Goran 6 Letchford, Adam N. 6 Mahdavi-Amiri, Nezam 6 Nie, Jiawang 6 Parthasarathy, Thiruvenkatachari 6 Peyghami, Mohammad Reza 6 Regruto, Diego 6 Van der Laan, Gerard 6 Wang, Jie 6 Yamashita, Hiroshi 6 Zhao, Gongyun 6 Zhou, Jing 5 Alzalg, Baha M. 5 Bellavia, Stefania 5 Bomze, Immanuel M. 5 Cho, Gyeong-Mi 5 Cottle, Richard W. 5 De Simone, Valentina 5 den Hertog, Dick 5 di Serafino, Daniela 5 Fantuzzi, Giovanni 5 Fischer, Andreas 5 Fujisawa, Katsuki 5 Gonzaga, Clovis C. 5 Guddat, Jürgen 5 Haghighi, Masoumeh 5 Jeyakumar, Vaithilingam 5 Lavaei, Javad 5 Li, Guoyin ...and 1,479 more Authors all top 5 Cited in 199 Serials 218 Mathematical Programming. Series A. Series B 116 Journal of Optimization Theory and Applications 64 Journal of Global Optimization 63 Computational Optimization and Applications 63 Optimization Methods & Software 49 Linear Algebra and its Applications 44 Optimization 39 SIAM Journal on Optimization 33 Mathematical Programming 31 Annals of Operations Research 29 European Journal of Operational Research 26 Journal of Computational and Applied Mathematics 26 Optimization Letters 25 Operations Research Letters 22 Numerical Algorithms 20 Applied Mathematics and Computation 16 Mathematical Programming Computation 15 Automatica 13 Journal of Industrial and Management Optimization 13 Journal of the Operations Research Society of China 12 Discrete Applied Mathematics 10 Theoretical Computer Science 10 Computers & Operations Research 10 Journal of Applied Mathematics and Computing 9 Computers & Mathematics with Applications 9 Acta Mathematicae Applicatae Sinica. English Series 9 RAIRO. Operations Research 8 Applied Numerical Mathematics 8 Journal of Symbolic Computation 8 Mathematical Problems in Engineering 8 Asian-European Journal of Mathematics 8 Numerical Algebra, Control and Optimization 7 Computer Methods in Applied Mechanics and Engineering 7 Journal of Mathematical Analysis and Applications 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 International Journal of Control 6 Mathematics of Operations Research 6 Numerical Functional Analysis and Optimization 6 Asia-Pacific Journal of Operational Research 6 SIAM Journal on Matrix Analysis and Applications 6 Science in China. Series A 6 Japan Journal of Industrial and Applied Mathematics 5 International Journal of Game Theory 5 Kybernetika 5 Algorithmica 5 Journal of Scientific Computing 5 International Journal of Robust and Nonlinear Control 5 Mathematical Methods of Operations Research 5 Wuhan University Journal of Natural Sciences (WUJNS) 5 CEJOR. Central European Journal of Operations Research 5 Optimization and Engineering 5 Discrete Optimization 4 Mathematics of Computation 4 Applied Mathematics and Optimization 4 International Journal of Computer Mathematics 4 ZOR. Zeitschrift für Operations Research 4 Top 4 Acta Mathematica Sinica. English Series 4 Journal of Applied Mathematics 4 Set-Valued and Variational Analysis 4 Journal of Mathematical Modelling and Algorithms in Operations Research 3 Linear and Multilinear Algebra 3 Computing 3 Journal of Information & Optimization Sciences 3 Discrete & Computational Geometry 3 Applied Mathematics Letters 3 Computational and Applied Mathematics 3 European Journal of Control 3 Journal of Inequalities and Applications 3 Journal of Systems Science and Complexity 3 Afrika Matematika 3 EURO Journal on Computational Optimization 3 SIAM Journal on Applied Algebra and Geometry 2 Bulletin of the Australian Mathematical Society 2 Journal of Fluid Mechanics 2 Mathematical Biosciences 2 Periodica Mathematica Hungarica 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Journal of Computer and System Sciences 2 Operations Research 2 Transactions of the American Mathematical Society 2 Applied Mathematics and Mechanics. (English Edition) 2 Neural Computation 2 Applications of Mathematics 2 SIAM Review 2 Cybernetics and Systems Analysis 2 SIAM Journal on Scientific Computing 2 Applied Mathematics. Series B (English Edition) 2 Numerical Linear Algebra with Applications 2 Filomat 2 International Transactions in Operational Research 2 INFORMS Journal on Computing 2 Journal of High Energy Physics 2 Annales Henri Poincaré 2 International Game Theory Review 2 Foundations of Computational Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Computational Management Science 2 Frontiers of Mathematics in China 2 The B. E. Journal of Theoretical Economics ...and 99 more Serials all top 5 Cited in 54 Fields 1,223 Operations research, mathematical programming (90-XX) 312 Numerical analysis (65-XX) 119 Calculus of variations and optimal control; optimization (49-XX) 66 Linear and multilinear algebra; matrix theory (15-XX) 54 Computer science (68-XX) 52 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 41 Algebraic geometry (14-XX) 41 Systems theory; control (93-XX) 22 Operator theory (47-XX) 22 Convex and discrete geometry (52-XX) 21 Commutative algebra (13-XX) 21 Mechanics of deformable solids (74-XX) 19 Field theory and polynomials (12-XX) 15 Combinatorics (05-XX) 12 Quantum theory (81-XX) 11 Number theory (11-XX) 11 Real functions (26-XX) 10 General topology (54-XX) 10 Statistics (62-XX) 9 Nonassociative rings and algebras (17-XX) 8 Ordinary differential equations (34-XX) 7 Functional analysis (46-XX) 7 Mechanics of particles and systems (70-XX) 7 Information and communication theory, circuits (94-XX) 6 Approximations and expansions (41-XX) 6 Algebraic topology (55-XX) 6 Biology and other natural sciences (92-XX) 5 Mathematical logic and foundations (03-XX) 5 Group theory and generalizations (20-XX) 5 Functions of a complex variable (30-XX) 5 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Manifolds and cell complexes (57-XX) 4 General algebraic systems (08-XX) 4 Integral transforms, operational calculus (44-XX) 4 Probability theory and stochastic processes (60-XX) 4 Fluid mechanics (76-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year