A PL homotopy for finding all the roots of a polynomial. - Masakazu Kojima; Hisakazu Nishino; Naohiko Arima (Math. Program., 1979)

A Quadratically Constrained Quadratic Optimization Model for Completely Positive Cone Programming. - Naohiko Arima; Sunyoung Kim; Masakazu Kojima (SIAM J. Optim., 2013)

Extension of Completely Positive Cone Relaxation to Moment Cone Relaxation for Polynomial Optimization. - Naohiko Arima; Sunyoung Kim; Masakazu Kojima (J. Optim. Theory Appl., 2016)

A robust Lagrangian-DNN method for a class of quadratic optimization problems. - Naohiko Arima; Sunyoung Kim; Masakazu Kojima; Kim-Chuan Toh (Comput. Optim. Appl., 2017)

Further Development in Convex Conic Reformulation of Geometric Nonconvex Conic Optimization Problems. - Naohiko Arima; Sunyoung Kim; Masakazu Kojima (SIAM J. Optim., 2024)