Edit Profile Nakata, Kazuhide Compute Distance To: Compute Author ID: nakata.kazuhide Published as: Nakata, Kazuhide Documents Indexed: 24 Publications since 1997 all top 5 Co-Authors 0 single-authored 10 Fujisawa, Katsuki 10 Kojima, Masakazu 9 Fukuda, Mituhiro 4 Murota, Kazuo 4 Yamashita, Makoto 3 Kitahara, Tomonari 3 Mizuno, Shinji 3 Tanaka, Mirai 3 Zhang, Shao-Liang 2 Kobayashi, Kazuhiro 2 Kobayashi, Ken-ichiro 2 Matsui, Tomomi 2 Miyashiro, Ryuhei 2 Nakata, Maho 2 Takano, Yuichi 2 Tamura, Ryuta 2 Waki, Hayato 1 Nitta, Yoshihiro all top 5 Serials 5 Journal of the Operations Research Society of Japan 5 RIMS Kokyuroku 2 Mathematical Programming. Series A. Series B 2 Optimization Methods & Software 1 ACM Transactions on Mathematical Software 1 Applied Numerical Mathematics 1 Journal of Global Optimization 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Pacific Journal of Optimization 1 Optimization Letters 1 Journal of Math-for-Industry Fields 23 Operations research, mathematical programming (90-XX) 8 Numerical analysis (65-XX) 3 Statistics (62-XX) 2 Combinatorics (05-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 17 Publications have been cited 164 times in 114 Documents Cited by ▼ Year ▼ Exploiting sparsity in semidefinite programming via matrix completion. I: General framework. Zbl 1010.90053Fukuda, Mituhiro; Kojima, Masakazu; Murota, Kazuo; Nakata, Kazuhide 54 2000 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 30 2003 Exploiting sparsity in primal-dual interior-point methods for semidefinite programming. Zbl 0887.90156Fujisawa, Katsuki; Kojima, Masakazu; Nakata, Kazuhide 19 1997 Numerical evaluation of SDPA (semidefinite programming algorithm). Zbl 0952.90047Fujisawa, Katsuki; Fukuda, Mituhiro; Kojima, Masakazu; Nakata, Kazuhide 15 2000 Latest developments in the SDPA family for solving large-scale SDPs. Zbl 1334.90119Yamashita, Makoto; Fujisawa, Katsuki; Fukuda, Mituhiro; Kobayashi, Kazuhiro; Nakata, Kazuhide; Nakata, Maho 14 2012 Best subset selection for eliminating multicollinearity. Zbl 1382.90068Tamura, Ryuta; Kobayashi, Ken; Takano, Yuichi; Miyashiro, Ryuhei; Nakata, Kazuhide; Matsui, Tomomi 7 2017 SDPA project: solving large-scale semidefinite programs. Zbl 1142.90465Fujisawa, Katsuki; Nakata, Kazuhide; Yamashita, Makoto; Fukuda, Mituhiro 7 2007 Mixed integer quadratic optimization formulations for eliminating multicollinearity based on variance inflation factor. Zbl 1421.90093Tamura, Ryuta; Kobayashi, Ken; Takano, Yuichi; Miyashiro, Ryuhei; Nakata, Kazuhide; Matsui, Tomomi 4 2019 Fast implementation for semidefinite programs with positive matrix completion. Zbl 1376.90044Yamashita, Makoto; Nakata, Kazuhide 2 2015 Algorithm 925, parallel solver for semidefinite programming problem having sparse Schur complement matrix. Zbl 1295.90043Yamashita, Makoto; Fujisawa, Katsuki; Fukuda, Mituhiro; Nakata, Kazuhide; Nakata, Maho 2 2012 Quadratic and convex minimax classification problems. Zbl 1279.90125Kitahara, Tomonari; Mizuno, Shinji; Nakata, Kazuhide 2 2008 A conversion of an SDP having free variables into the standard form SDP. Zbl 1146.90492Kobayashi, Kazuhiro; Nakata, Kazuhide; Kojima, Masakazu 2 2007 Preprocessing sparse semidefinite programs via matrix completion. Zbl 1181.90214Fujisawa, Katsuki; Fukuda, Mituhiro; Nakata, Kazuhide 2 2006 Positive definite matrix approximation with condition number constraint. Zbl 1292.90286Tanaka, Mirai; Nakata, Kazuhide 1 2014 An extension of a minimax approach to multiple classification. Zbl 1278.90440Kitahara, Tomonari; Mizuno, Shinji; Nakata, Kazuhide 1 2007 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 The interior-point method software SDPA (semidefinite programming algorithm) for semidefinite programming problems. Zbl 0957.90505Fujisawa, Katsuki; Kojima, Masakazu; Nakata, Kazuhide 1 1999 Mixed integer quadratic optimization formulations for eliminating multicollinearity based on variance inflation factor. Zbl 1421.90093Tamura, Ryuta; Kobayashi, Ken; Takano, Yuichi; Miyashiro, Ryuhei; Nakata, Kazuhide; Matsui, Tomomi 4 2019 Best subset selection for eliminating multicollinearity. Zbl 1382.90068Tamura, Ryuta; Kobayashi, Ken; Takano, Yuichi; Miyashiro, Ryuhei; Nakata, Kazuhide; Matsui, Tomomi 7 2017 Fast implementation for semidefinite programs with positive matrix completion. Zbl 1376.90044Yamashita, Makoto; Nakata, Kazuhide 2 2015 Positive definite matrix approximation with condition number constraint. Zbl 1292.90286Tanaka, Mirai; Nakata, Kazuhide 1 2014 Latest developments in the SDPA family for solving large-scale SDPs. Zbl 1334.90119Yamashita, Makoto; Fujisawa, Katsuki; Fukuda, Mituhiro; Kobayashi, Kazuhiro; Nakata, Kazuhide; Nakata, Maho 14 2012 Algorithm 925, parallel solver for semidefinite programming problem having sparse Schur complement matrix. Zbl 1295.90043Yamashita, Makoto; Fujisawa, Katsuki; Fukuda, Mituhiro; Nakata, Kazuhide; Nakata, Maho 2 2012 Quadratic and convex minimax classification problems. Zbl 1279.90125Kitahara, Tomonari; Mizuno, Shinji; Nakata, Kazuhide 2 2008 SDPA project: solving large-scale semidefinite programs. Zbl 1142.90465Fujisawa, Katsuki; Nakata, Kazuhide; Yamashita, Makoto; Fukuda, Mituhiro 7 2007 A conversion of an SDP having free variables into the standard form SDP. Zbl 1146.90492Kobayashi, Kazuhiro; Nakata, Kazuhide; Kojima, Masakazu 2 2007 An extension of a minimax approach to multiple classification. Zbl 1278.90440Kitahara, Tomonari; Mizuno, Shinji; Nakata, Kazuhide 1 2007 Preprocessing sparse semidefinite programs via matrix completion. Zbl 1181.90214Fujisawa, Katsuki; Fukuda, Mituhiro; Nakata, Kazuhide 2 2006 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 30 2003 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 Exploiting sparsity in semidefinite programming via matrix completion. I: General framework. Zbl 1010.90053Fukuda, Mituhiro; Kojima, Masakazu; Murota, Kazuo; Nakata, Kazuhide 54 2000 Numerical evaluation of SDPA (semidefinite programming algorithm). Zbl 0952.90047Fujisawa, Katsuki; Fukuda, Mituhiro; Kojima, Masakazu; Nakata, Kazuhide 15 2000 The interior-point method software SDPA (semidefinite programming algorithm) for semidefinite programming problems. Zbl 0957.90505Fujisawa, Katsuki; Kojima, Masakazu; Nakata, Kazuhide 1 1999 Exploiting sparsity in primal-dual interior-point methods for semidefinite programming. Zbl 0887.90156Fujisawa, Katsuki; Kojima, Masakazu; Nakata, Kazuhide 19 1997 all cited Publications top 5 cited Publications all top 5 Cited by 231 Authors 11 Kojima, Masakazu 10 Kim, Sunyoung 10 Yamashita, Makoto 6 Nakata, Kazuhide 4 Dahl, Joachim 3 Andersen, Martin S. 3 Anjos, Miguel F. 3 de Klerk, Etienne 3 Fantuzzi, Giovanni 3 Fujisawa, Katsuki 3 Kobayashi, Kazuhiro 3 Lasserre, Jean-Bernard 3 Takano, Yuichi 3 Toh, Kim-Chuan 2 Borchers, Brian 2 Brandeau, Margaret L. 2 Dey, Santanu S. 2 Enns, Eva A. 2 Fukuda, Mituhiro 2 Hara, Hisayuki 2 Henrion, Didier 2 Hijazi, Hassan 2 Kanno, Yoshihiro 2 Kobayashi, Ken-ichiro 2 Kocuk, Burak 2 Lavaei, Javad 2 Madani, Ramtin 2 Magron, Victor 2 Mevissen, Martin 2 Miyashiro, Ryuhei 2 Mullin, Tim J. 2 Muramatsu, Masakazu 2 Park, Sungwoo 2 Raghunathan, Arvind U. 2 Safarina, Sena 2 Sun, Xu Andy 2 Tunçel, Levent 2 Vandenberghe, Lieven 2 Waki, Hayato 2 Wang, Guanglei 2 Wolkowicz, Henry 2 Wynn, Andrew 2 Yamashita, Nobuo 1 Al-Homidan, Suliman S. 1 Allamigeon, Xavier 1 Atamtürk, Alper 1 Bachoc, Christine 1 Bartoli, Adrien 1 Benson, Steven J. 1 Bergman, David S. 1 Bertsimas, Dimitris John 1 Biegler, Lorenz T. 1 Boros, Endre 1 Brixius, Nathan W. 1 Brouwer, Andries Evert 1 Bugarin, Florian 1 Burer, Samuel 1 Cardonha, Carlos H. 1 Carli, Francesca Paolo 1 Carrizosa, Emilio 1 Chen, Chen 1 Cheng, Tai-Chiu Edwin 1 Cheon, Myun-Seok 1 Chernyshenko, Sergei I. 1 Chester, Shai M. 1 Ciré, André Augusto 1 Claeys, Mathieu 1 Coregliano, Leonardo Nagami 1 Cummings, James 1 Dai, Yu-Hong 1 De Santis, Marianna 1 Do, Hyungrok 1 Dym, Nadav 1 Eck, Bradley J. 1 El-Showk, Sheer 1 Eltved, Anders 1 Engau, Alexander 1 Fazelnia, Ghazal 1 Feron, Eric 1 Ferrante, Augusto 1 Festa, Paola 1 Friedan, Daniel Harry 1 Garoche, Pierre-Loïc 1 Gaubert, Stéphane 1 Ghaddar, Bissan 1 Gicquel, Celine 1 Goemans, Michel X. 1 Goluskin, David 1 Goulart, Paul J. 1 Grippo, Luigi 1 Gryazina, Elena N. 1 Hammer, Peter Ladislaw 1 Heinlein, Daniel 1 Heuer, Janin 1 Huang, Deqing 1 Ihringer, Ferdinand 1 Jarre, Florian 1 Jeyakumar, Vaithilingam 1 Jobredeaux, Romain 1 Joldeş, Mioara ...and 131 more Authors all top 5 Cited in 49 Serials 13 Mathematical Programming. Series A. Series B 11 Optimization Methods & Software 8 Computational Optimization and Applications 7 Journal of Global Optimization 7 SIAM Journal on Optimization 5 Journal of Optimization Theory and Applications 4 European Journal of Operational Research 4 Mathematical Programming Computation 3 Discrete Applied Mathematics 3 Linear Algebra and its Applications 2 Operations Research 2 Applied Numerical Mathematics 2 Automation and Remote Control 2 Journal of High Energy Physics 2 Optimization and Engineering 2 Discrete Optimization 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Information Sciences 1 Journal of Combinatorial Theory. Series B 1 Theoretical Computer Science 1 Advances in Applied Mathematics 1 Operations Research Letters 1 Discrete & Computational Geometry 1 Science in China. Series A 1 Designs, Codes and Cryptography 1 Communications in Statistics. Theory and Methods 1 Journal of Mathematical Imaging and Vision 1 The Electronic Journal of Combinatorics 1 Top 1 Bulletin des Sciences Mathématiques 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Journal of Machine Learning Research (JMLR) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 SORT. Statistics and Operations Research Transactions 1 Advances in Data Analysis and Classification. ADAC 1 Optimization Letters 1 Advances in Mathematics of Communications 1 Journal of Formalized Reasoning 1 Journal of Theoretical Biology 1 Journal of the Operations Research Society of China 1 Japanese Journal of Statistics and Data Science all top 5 Cited in 25 Fields 96 Operations research, mathematical programming (90-XX) 25 Numerical analysis (65-XX) 9 Statistics (62-XX) 7 Combinatorics (05-XX) 7 Computer science (68-XX) 4 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year