Operations Research Transactions ›› 2014, Vol. 18 ›› Issue (1): 93-112.

• Original Articles • Previous Articles     Next Articles

Some topics in nonlinear positive semi-definite programming

ZHANG Liwei1,*   

  1. 1. Institute of Operations Research and Control Theory, School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, China
  • Online:2014-03-15 Published:2014-03-15

Abstract: Four topics in nonlinear positive semi-definite programming are discussed, which include the variational analysis about the cone of positive semi-definite matrices, optimality conditions, perturbation analysis and the augmented Lagrange method for nonlinear positive semi-definite programming.

Key words: positively semi-definite programming, variational analysis, perturbation analysis, augmented Lagrange method

CLC Number: