Branch-and-Cut Algorithms for the Bilinear Matrix Inequality Eigenvalue Problem. - Mituhiro Fukuda; Masakazu Kojima (Comput. Optim. Appl., 2001)

Exploiting Sparsity in Semidefinite Programming via Matrix Completion I: General Framework. - Mituhiro Fukuda; Masakazu Kojima; Kazuo Murota; Kazuhide Nakata (SIAM J. Optim., 2001)

Lagrangian Dual Interior-Point Methods for Semidefinite Programs. - Mituhiro Fukuda; Masakazu Kojima; Masayuki Shida (SIAM J. Optim., 2002)

Exploiting sparsity in semidefinite programming via matrix completion II: implementation and numerical results. - Kazuhide Nakata; Katsuki Fujisawa; Mituhiro Fukuda (Math. Program., 2003)

Preprocessing sparse semidefinite programs via matrix completion. - Katsuki Fujisawa; Mituhiro Fukuda; Kazuhide Nakata (Optim. Methods Softw., 2006)

Large-scale semidefinite programs in electronic structure calculation. - Mituhiro Fukuda; Bastiaan J. Braams; Maho Nakata; Michael L. Overton; Jerome K. Percus; Makoto Yamashita; Zhengji Zhao (Math. Program., 2007)

Algorithm 925: Parallel Solver for Semidefinite Programming Problem having Sparse Schur Complement Matrix. - Makoto Yamashita; Katsuki Fujisawa; Mituhiro Fukuda; Kazuhide Nakata; Maho Nakata (ACM Trans. Math. Softw., 2012)

A family of subgradient-based methods for convex optimization problems in a unifying framework. - Masaru Ito; Mituhiro Fukuda (Optim. Methods Softw., 2016)

A dual spectral projected gradient method for log-determinant semidefinite problems. - Takashi Nakagaki; Mituhiro Fukuda; Sunyoung Kim; Makoto Yamashita (Comput. Optim. Appl., 2020)

Nearly Optimal First-Order Methods for Convex Optimization under Gradient Norm Measure: an Adaptive Regularization Approach. - Masaru Ito; Mituhiro Fukuda (J. Optim. Theory Appl., 2021)

New Bregman proximal type algorithms for solving DC optimization problems﻿. - Shota Takahashi; Mituhiro Fukuda; Mirai Tanaka (Comput. Optim. Appl., 2022)

Exact SDP relaxations of quadratically constrained quadratic programs with forest structures. - Godai Azuma; Mituhiro Fukuda; Sunyoung Kim; Makoto Yamashita (J. Glob. Optim., 2022)

Exact SDP relaxations for quadratic programs with bipartite graph structures. - Godai Azuma; Mituhiro Fukuda; Sunyoung Kim; Makoto Yamashita (J. Glob. Optim., 2023)