@article{CTT100790328,
  author = {Kazuo Murota and Akiyoshi Shioura},
  title = {On Equivalence of M^\natural-concavity of a Set Function and Submodularity of its Conjugate},
  journal = {Journal of Operations Research Society of Japan},
  year = 2018,
}

@article{CTT100790327,
  author = {Kazuo Murota and Akiyoshi Shioura},
  title = {Simpler Exchange Axioms for M-concave Functions on Generalized Polymatroids},
  journal = {Japan Journal of Industrial and Applied Mathematics (JJIAM)},
  year = 2017,
}

@article{CTT100790334,
  author = {Kazuo Murota and Akiyoshi Shioura},
  title = {Note on time bounds of two-phase algorithms for L-convex function minimization},
  journal = {Japan Journal of Industrial and Applied Mathematics (JJIAM)},
  year = 2017,
}

@article{CTT100613456,
  author = {Kazuo Murota and Yoshihiro Kanno and MASAKAZU KOJIMA and SADAYOSHI KOJIMA},
  title = {A numerical algorithm for block-diagonal decomposition of matrix *-algebras, Part I: proposed approach and application to semidefinite programming},
  journal = {Japan Journal of Industrial and Applied Mathematics},
  year = 2010,
}

@article{CTT100927220,
  author = {田中健一郎 and 杉原正顕 and 室田一雄},
  title = {Error Estimate of a Gaussian Kernel Sampling Formula via Complex Analysis},
  journal = {Transactions of the Japan Society for Industrial and Applied Mathematics},
  year = 2007,
}

@article{CTT100927221,
  author = {Kazuo Murota and Ken'ichiro Tanaka},
  title = {A Steepest Descent Algorithm for M-Convex Functions on Jump Systems},
  journal = {IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences},
  year = 2006,
}

@article{CTT100572616,
  author = {Kazuhide Nakata and Katsuki Fujisawa and Mituhiro Fukuda and Masakazu Kojima and Kazuo Murota},
  title = {Exploiting sparsity in semidefinite programming via matrix completion II: Implementation and numerical results},
  journal = {Mathematical Programming},
  year = 2003,
}

@article{CTT100552937,
  author = {Mituhiro Fukuda and Masakazu Kojima and Kazuo Murota and Kazuhide Nakata},
  title = {Exploiting sparsity in semidefinite programming via matrix completion I: General framework},
  journal = {SIAM Journal on Optimization},
  year = 2000,
}

@inproceedings{CTT100806099,
  author = {Kazuhide Nakata and Katsuki Fujisawa and Mituhiro Fukuda and Masakazu Kojima and Kazuo Murota},
  title = {Exploiting Sparsity in Semidefinite Programming via Matrix Completion},
  booktitle = {},
  year = 2001,
}

@inproceedings{CTT100806320,
  author = {中田 和秀 and 藤沢 克樹 and 福田 光浩 and 小島 政和 and 室田 一雄},
  title = {半正定値計画問題に対する行列補完理論の適用},
  booktitle = {},
  year = 2000,
}

@inproceedings{CTT100806101,
  author = {Kazuhide Nakata and Katsuki Fujisawa and Mituhiro Fukuda and Masakazu Kojima and Kazuo Murota},
  title = {Exploiting Sparsity in Semidefinite Programming via Matrix Completion II: Implementation and Numerical Results},
  booktitle = {},
  year = 2000,
}

@inproceedings{CTT100806331,
  author = {Masakazu Kojima and Mituhiro Fukuda and Kazuo Murota and Kazuhide Nakata},
  title = {Interior-point methods for semidefinite programs using matrix completion},
  booktitle = {},
  year = 2000,
}

@inproceedings{CTT100806324,
  author = {Mituhiro Fukuda and Kazuhide Nakata and Katsuki Fujisawa and Masakazu Kojima and Kazuo Murota},
  title = {Solving Sparse Semidefinite Programs by Matrix Completion (part I)},
  booktitle = {},
  year = 2000,
}

@inproceedings{CTT100806319,
  author = {中田 和秀 and 藤沢 克樹 and 福田 光浩 and 小島 政和 and 室田 一雄},
  title = {行列補完に基づく半正定値計画問題の疎性について},
  booktitle = {},
  year = 2000,
}

@inproceedings{CTT100773715,
  author = {Kazuhide Nakata and Katsuki Fujisawa and Mituhiro Fukuda and Masakazu Kojima and Kazuo Murota},
  title = {Matrix Completion and Semidefinite Programming},
  booktitle = {統計数理研究所共同研究レポート},
  year = 2000,
}

@inproceedings{CTT100773717,
  author = {Kazuhide Nakata and Katsuki Fujisawa and Mituhiro Fukuda and Masakazu Kojima and Kazuo Murota},
  title = {Solving Sparse Semidefinite Programs by Matrix Completion (part II)},
  booktitle = {数理解析研究所講究録},
  year = 2000,
}