Complex Matrix Decomposition and Quadratic Programming

This paper studies the possibilities of the linear matrix inequality characterization of the matrix cones formed by nonnegative complex Hermitian quadratic functions over specific domains in the complex space. In its real-case analog, such studies were conducted in Sturm and Zhang [Sturm, J. F., S....

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Bibliographic Details
Published in:	Mathematics of operations research Vol. 32; no. 3; pp. 758 - 768
Main Authors:	Huang, Yongwei, Zhang, Shuzhong
Format:	Journal Article
Language:	English
Published:	Linthicum INFORMS 01.08.2007 Institute for Operations Research and the Management Sciences
Subjects:	Analysis complex co-positivity cone Equation roots Inequalities (Mathematics) Linear equations Mathematical inequalities Mathematical optimization Mathematical sets Mathematical theorems Mathematical vectors Matrices Matrix Matrix decomposition matrix rank-one decomposition Operations research Optimal solutions Quadratic functions quadratic optimization Quadratic programming S-procedure Studies United States
ISSN:	0364-765X, 1526-5471
Online Access:	Get full text
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