17 citations · 28 across the 5 of their papers we have counts for
5 papers · 1 filter
Primal-dual path following method for nonlinear semi-infinite programs with semi-definite constraints
Takayuki Okuno, Masao Fukushima
In this paper, we propose two algorithms for nonlinear semi-infinite semi-definite programs with infinitely many convex inequality constraints, called SISDP for short. A straightfo…
An interior point sequential quadratic programming-type method for log-determinant semi-infinite programs
Takayuki Okuno, Masao Fukushima
In this paper, we consider a nonlinear semi-infinite program that minimizes a function including a log-determinant (logdet) function over positive definite matrix constraints and i…
Optimality conditions for problems over symmetric cones and a simple augmented Lagrangian method
Bruno F. Lourenço, Ellen H. Fukuda, Masao Fukushima
In this work we are interested in nonlinear symmetric cone problems (NSCPs), which contain as special cases nonlinear semidefinite programming, nonlinear second order cone programm…
Optimality Conditions for Nonlinear Semidefinite Programming via Squared Slack Variables
Bruno F. Lourenço, Ellen H. Fukuda, Masao Fukushima
In this work, we derive second-order optimality conditions for nonlinear semidefinite programming (NSDP) problems, by reformulating it as an ordinary nonlinear programming problem…
Rank-one Solutions for Homogeneous Linear Matrix Equations over the Positive Semidefinite Cone
Yunbin Zhao, Masao Fukushima
The problem of finding a rank-one solution to a system of linear matrix equations arises from many practical applications. Given a system of linear matrix equations, however, such…