On the Hermitian Positive Definite Solutions of Nonlinear Matrix Equation Xs+A∗X−t1A+B∗X−t2B=Q | Zendy

Aijing Liu | Zendy; Guoliang Chen | Zendy

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On the Hermitian Positive Definite Solutions of Nonlinear Matrix Equation Xs+A∗X−t1A+B∗X−t2B=Q

Author(s) -

Aijing Liu,

Guoliang Chen

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/163585

Subject(s) - positive definite matrix , hermitian matrix , invertible matrix , mathematics , matrix (chemical analysis) , nonlinear system , iterative method , pure mathematics , mathematical analysis , mathematical optimization , physics , eigenvalues and eigenvectors , quantum mechanics , materials science , composite material

Nonlinear matrix equation Xs+A∗X−t1A+B∗X−t2B=Q has many applications in engineering; control theory; dynamic programming; ladder networks; stochastic filtering; statistics and so forth. In this paper, the Hermitian positive definite solutions of nonlinear matrix equation Xs+A∗X−t1A+B∗X−t2B=Q are considered, where Q is a Hermitian positive definite matrix, A, B are nonsingular complex matrices, s is a positive number, and 0

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