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2014 Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation
Zhigang Jia, Meixiang Zhao, Minghui Wang, Sitao Ling
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/681605

Abstract

The solvability theory of an important self-adjoint polynomial matrix equation is presented, including the boundary of its Hermitian positive definite (HPD) solution and some sufficient conditions under which the (unique or maximal) HPD solution exists. The algebraic perturbation analysis is also given with respect to the perturbation of coefficient matrices. An efficient general iterative algorithm for the maximal or unique HPD solution is designed and tested by numerical experiments.

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Zhigang Jia. Meixiang Zhao. Minghui Wang. Sitao Ling. "Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/681605

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131783
MathSciNet: MR3208634
Digital Object Identifier: 10.1155/2014/681605

Rights: Copyright © 2014 Hindawi

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