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On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$

On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$
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Year:    2013

Journal of Computational Mathematics, Vol. 31 (2013), Iss. 2 : pp. 209–220

Abstract

This work is concerned with the nonlinear matrix equation $X^s + A^*F(X)A= Q$ with $s ≥ 1$. Several sufficient and necessary conditions for the existence and  uniqueness of the Hermitian positive semidefinite solution are derived, and perturbation bounds are presented.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1210-m4082

Journal of Computational Mathematics, Vol. 31 (2013), Iss. 2 : pp. 209–220

Published online:    2013-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Nonlinear matrix equations Perturbation bound Hermitian positive definite solution.

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