論文リスト

• Katsuki Fujisawa, Mituhiro Fukuda, Kazuhiro Kobayashi, Kazuhide Nakata, Maho Nakata, Makoto Yamashita,
  Parallel solver for SemiDefinite Programming having sparse Schur complement matrix,
  ACM transactions on Mathematical Software, to appear.
  
  
• Makoto Yamashita, Katsuki Fujisawa, Mituhiro Fukuda, Kazuhiro Kobayashi, Kazuhide Nakata, Maho Nakata,
  Latest developments in the SDPA Family for solving large-scale SDPs,
  Handbook on Semidefinite Cone and Polynomial Optimization, Springer (2011), 687-714.
  
  
• Tomonari Kitahara, Shinji Mizuno, and Kazuhide Nakata
  Quadratic and Convex Minimax Classification Problems,
  Journal of the Operations Research Society of Japan, 51 (2008), 191-201.
  
  
• 中田和秀, 藤澤克樹, 福田光浩, 山下真, 中田真秀, 小林和博
  最適化ソフトウェアSDPA,
  応用数理 18 (2008), 2-14．
  
  
• Katsuki Fujisawa, Kazuhide Nakata, Makoto Yamashita, and Mituhiro Fukuda
  SDPA Project : Solving Large-scale Semidefinite Programs,
  Journal of the Operations Research Society of Japan, 50 (2007), 278-298.
  
  
• Tomonari Kitahara, Shinji Mizuno, and Kazuhide Nakata
  An Extension of a Minimax Approach to Multiple Classification,
  Journal of the Operations Research Society of Japan, 50 (2007), 123-136.
  
  
• Kazuhiro Kobayashi, Kazuhide Nakata and Masakazu Kojima,
  A Conversion of an SDP Having Free Variables into the Standard Form SDP,
  Computational Optimization and Applications, 36 (2007), 289-307.
  
  
• Makoto Yamashita, Mituhiro Fukuda, Katsuki Fujisawa, Masakazu Kojima, and Kazuhide Nakata,
  Parallel primal-dual interior-point methods for semidefinite programs,
  Parallel Combinatorial Optimization, (2006) 211-238.
  
  
• Kazuhide Nakata, Makoto Yamashita, Katsuki Fujisawa, and Masakazu Kojima,
  A parallel primal-dual interior-point method for semidefinite programs using positive definite matrix completion,
  Parallel Computing, 32 (2006) 24-43.
  
  
• Katsuki Fujisawa, Mituhiro Fukuda, and Kazuhide Nakata,
  Preprocessing sparse semidefinite programs via matrix completion,
  Journal of Optimization Methods and Software, 21 (2006) 17-39.
  
  
• 稲場 広記, 水野 眞治, 中田 和秀,
  2次錐計画問題によるロバスト・トラッキングエラー最小化,
  Transactions of the Operations Research Society of Japan, 48 (2005) 12--25.
  
  
• Kazuhide Nakata, Katsuki Fujisawa, Mituhiro Fukuda, Masakazu Kojima and Kazuo Murota,
  Exploiting Sparsity in Semidefinite Programming via Matrix Completion II: Implementation and Numerical Results,
  Mathematical Programming B, 95 (2003) 303-327.
  
  
• Shao-Liang Zhang, Kazuhide Nakata and Masakazu Kojima,
  Incomplete Orthogonalization Preconditioner for Solving Large and Dense Linear Systems which Arise from Semidefinite Programming,
  Applied Numerical Mathematics 41 (2002) 235-245.
  
  
• Shao-Liang Zhang, and Kazuhide Nakata,
  Generalized conjugate residual method for solving large and dense linear systems in semidefinite programming,
  Proceedings of Fifth China-Japan Seminar on Numerical Mathematics (2002) 234-241.
  
  
• Maho Nakata, Hiroshi Nakatsuji, Masahiro Ehara, Mituhiro Fukuda, Kazuhide Nakata and Katsuki Fujisawa,
  Variational calculations of fermion second-order reduced density matrices by semidefinite programming algorithm,
  Journal of Chemical Physics, Vol.114, No.19 (2001) 8282-8292.
  
  
• Mituhiro Fukuda, Masakazu Kojima, Kazuo Murota and Kazuhide Nakata,
  Exploiting Sparsity in Semidefinite Programming via Matrix Completion I: General Framework,
  SIAM Journal on Optimization 11 (2000) 647-674.
  
  
• Katsuki Fujisawa, Mituhiro Fukuda, Masakazu Kojima and Kazuhide Nakata,
  Numerical Evaluation of the SDPA (SemiDefinite Programming Algorithm),
  High Performance Optimization Techniques, Kluwer Academic Publishers (2000) 267-301.
  
  
• 中田 和秀, 藤沢 克樹, 小島 政和,
  半正定値計画問題に対する主双対内点法における共役勾配法の実装,
  統計数理 第４６巻 第２号 (1998) 297-316.
  
  
• Katsuki Fujisawa, Masakazu Kojima and Kazuhide Nakata,
  Exploiting sparsity in primal-dual interior-point methods for semidefinite programming,
  Mathematical Programming 79 (1997) 235-253.