"Kazuo Murota,Akiyoshi Shioura","On Equivalence of M^\natural-concavity of a Set Function and Submodularity of its Conjugate",,"Journal of Operations Research Society of Japan",,"Vol. 61",,"pp. 163-171",2018,Apr. "Kazuo Murota,Akiyoshi Shioura","Simpler Exchange Axioms for M-concave Functions on Generalized Polymatroids",,"Japan Journal of Industrial and Applied Mathematics (JJIAM)",,"Vol. 35",,"pp. 235-259",2017,Dec. "Kazuo Murota,Akiyoshi Shioura","Note on time bounds of two-phase algorithms for L-convex function minimization",,"Japan Journal of Industrial and Applied Mathematics (JJIAM)",,"Vol. 34",,"pp. 429-440",2017,May "Kazuo Murota,Yoshihiro Kanno,MASAKAZU KOJIMA,SADAYOSHI KOJIMA","A numerical algorithm for block-diagonal decomposition of matrix *-algebras, Part I: proposed approach and application to semidefinite programming",,"Japan Journal of Industrial and Applied Mathematics",,"Vol. 27",,"pp. 125-160",2010,Oct. "田中健一郎,杉原正顕,室田一雄","Error Estimate of a Gaussian Kernel Sampling Formula via Complex Analysis",,"Transactions of the Japan Society for Industrial and Applied Mathematics",,,,,2007, "Kazuo Murota,Ken'ichiro Tanaka","A Steepest Descent Algorithm for M-Convex Functions on Jump Systems",,"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences",,"Vol. E89-A","No. 5","pp. 1160-1165",2006,May "Kazuhide Nakata,Katsuki Fujisawa,Mituhiro Fukuda,Masakazu Kojima,Kazuo Murota","Exploiting sparsity in semidefinite programming via matrix completion II: Implementation and numerical results",,"Mathematical Programming",,"Vol. Series B 95","No. 2","pp. 303-327",2003, "Kazuhide Nakata,Katsuki Fujisawa,Mituhiro Fukuda,Masakazu Kojima,Kazuo Murota","Exploiting Sparsity in Semidefinite Programming via Matrix Completion","The Second International Conference on Nonlinear analysis and Convex Analysis",,,,,,2001,July "中田 和秀,藤沢 克樹,福田 光浩,小島 政和,室田 一雄","半正定値計画問題に対する行列補完理論の適用","日本応用数理学会 年会",,,,,,2000,Oct. "Kazuhide Nakata,Katsuki Fujisawa,Mituhiro Fukuda,Masakazu Kojima,Kazuo Murota","Exploiting Sparsity in Semidefinite Programming via Matrix Completion II: Implementation and Numerical Results","17th International Symposium on mathematical programming",,,,,,2000,Aug. "Masakazu Kojima,Mituhiro Fukuda,Kazuo Murota,Kazuhide Nakata","Interior-point methods for semidefinite programs using matrix completion","European Conference on Operations Research",,,,,,2000,July "Mituhiro Fukuda,Kazuhide Nakata,Katsuki Fujisawa,Masakazu Kojima,Kazuo Murota","Solving Sparse Semidefinite Programs by Matrix Completion (part I)","研究集会「最適化の数理科学」",,,,,,2000,July "中田 和秀,藤沢 克樹,福田 光浩,小島 政和,室田 一雄","行列補完に基づく半正定値計画問題の疎性について","日本オペレーションズ・リサーチ学会 「最適化とアルゴリズム」研究部会",,,,,,2000,June "Kazuhide Nakata,Katsuki Fujisawa,Mituhiro Fukuda,Masakazu Kojima,Kazuo Murota","Matrix Completion and Semidefinite Programming","統計数理研究所研究集会 最適化:モデリングとアルゴリズム14","統計数理研究所共同研究レポート",,"Vol. 135",,"pp. 223-237",2000, "Kazuhide Nakata,Katsuki Fujisawa,Mituhiro Fukuda,Masakazu Kojima,Kazuo Murota","Solving Sparse Semidefinite Programs by Matrix Completion (part II)","京都大学数理解析研究所研究集会 「最適化の数理科学」","数理解析研究所講究録",,"Vol. 1174",,"pp. 130-137",2000, "Mituhiro Fukuda,Masakazu Kojima,Kazuo Murota,Kazuhide Nakata","Exploiting sparsity in semidefinite programming via matrix completion I: General framework",,"SIAM Journal on Optimization",,"Vol. 11","No. 3","pp. 647-674",2000,