Some Properties of Solution to Semidefinite Complementarity Problem - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.1, January 2018

Some Properties of Solution to Semidefinite Complementarity Problem ()

HTML XML

Download as PDF (Size: 288KB) PP. 122-129

DOI: 10.4236/jamp.2018.61012 619 Downloads 1,098 Views

Author(s)

Yu Chen^*, Cuiling Chen, Caihong Han

Affiliation(s)

College of Mathematics and Statistics, Guangxi Normal University, Guilin, China.

ABSTRACT

In this paper, we discuss the nonemptyness and boundedness of the solution set for P_*-semidefinite complementarity problem by using the concept of exceptional family of elements for complementarity problems over the cone of semidefinite matrices, and obtain a main result that if the corresponding problem has a strict feasible point, then its solution set is nonemptyness and boundedness.

KEYWORDS

Semidefinite Complementarity Problem, P_*-Mapping, Nonemptyness, Boundedness

Share and Cite:

Chen, Y. , Chen, C. and Han, C. (2018) Some Properties of Solution to Semidefinite Complementarity Problem. Journal of Applied Mathematics and Physics, 6, 122-129. doi: 10.4236/jamp.2018.61012.

Journals Menu

Follow SCIRP

	+1 323-425-8868
	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

Journals Menu

Home

About SCIRP

Service

Policies