89 citations
- The University of TokyoJP5 papers
- RIKEN Center for Advanced Intelligence ProjectJP3 papers
- Kyoto UniversityJP2 papers
- RIKENJP2 papers
- The University of OsakaJP2 papers
- University of CopenhagenDK2 papers
- Aichi University of EducationJP1 paper
- Columbia UniversityUS1 paper
- Department of Mathematical SciencesRU1 paper
- Fraunhofer Institute for Experimental Software EngineeringDE1 paper
- Fujitsu (Japan)JP1 paper
- Ghent UniversityBE1 paper
5 papers · 1 filter
The turnpike property in the maximum hands-off control
Noboru Sakamoto, Masaaki Nagahara
This paper presents analyses for the maximum hands-off control using the geometric methods developed for the theory of turnpike in optimal control. First, a sufficient condition is…
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…