Semismooth homeomorphisms and strong stability of semidefinite and Lorentz complementarity problems

Semismooth homeomorphisms and strong stability of semidefinite and Lorentz complementarity problems

Based on an inverse function theorem for a system of semismooth equations, this paper establishes several necessary and sufficient conditions for an isolated solution of a complementarity problem defined on the cone of symmetric positive semidefinite matrices to be strongly regular/stable. We show f...

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Bibliographic Details
Main Authors: Pang, J.S., Sun, D., Sun, Jie
Format: Journal Article
Language:English
Published: Institute for Operations Research and the Management Sciences (I N F O R M S) 2003
Subjects:
Science & Technology
Technology
Physical Sciences
Operations Research & Management Science
Mathematics, Applied
Mathematics
complementarity problem
variational inequality
semidefinite cone
Lorentz cone
IMPLICIT-FUNCTION THEOREM
VARIATIONAL-INEQUALITIES
NEWTON METHOD
SENSITIVITY-ANALYSIS
METRIC PROJECTIONS
NORMAL MAPS
EQUATIONS
DIFFERENTIABILITY
OPTIMIZATION
PROGRAMS
Online Access:http://hdl.handle.net/20.500.11937/91450

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