A New Non-linear Semidefinite Programming Algorithm with an Application to Multidisciplinary Free Material Optimization
Stingl M, Kocvara M, Leugering G (2009)
Publication Type: Book chapter / Article in edited volumes
Publication year: 2009
Edited Volumes: Optimal control of coupled systems of partial differential equations
Series: Internat. Ser. Numer. Math.
Book Volume: 158
Pages Range: 275--295
Volume: 158
DOI: 10.1007/978-3-7643-8923-9_16
Abstract
A new method and algorithm for the efficient solution of a class of nonlinear semidefinite programming problems is introduced. The new method extends a concept proposed recently for the solution of convex semidefinite programs based on the sequential convex programming (SCP) idea. In the core of the method, a generally non-convex semidefinite program is replaced by a sequence of subproblems, in which nonlinear constraint and objective functions defined in matrix variables are approximated by block separable convex models. Global convergence is proved under reasonable assumptions. The article is concluded by numerical experiments with challenging Free Material Optimization problems subject to displacement constraints.
Authors with CRIS profile
Michael Stingl
Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung)
Günter Leugering
Lehrstuhl für Angewandte Mathematik
Additional Organisation(s)
Involved external institutions
United Kingdom (GB)How to cite
APA:
Stingl, M., Kocvara, M., & Leugering, G. (2009). A New Non-linear Semidefinite Programming Algorithm with an Application to Multidisciplinary Free Material Optimization. In Optimal control of coupled systems of partial differential equations. (pp. 275--295).
MLA:
Stingl, Michael, Michal Kocvara, and Günter Leugering. "A New Non-linear Semidefinite Programming Algorithm with an Application to Multidisciplinary Free Material Optimization." Optimal control of coupled systems of partial differential equations. 2009. 275--295.
BibTeX: Download