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On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$
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@Article{JCM-31-209,
author = {},
title = {On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$},
journal = {Journal of Computational Mathematics},
year = {2013},
volume = {31},
number = {2},
pages = {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.
}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1210-m4082}, url = {http://global-sci.org/intro/article_detail/jcm/9730.html} }
TY - JOUR
T1 - On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$
JO - Journal of Computational Mathematics
VL - 2
SP - 209
EP - 220
PY - 2013
DA - 2013/04
SN - 31
DO - http://doi.org/10.4208/jcm.1210-m4082
UR - https://global-sci.org/intro/article_detail/jcm/9730.html
KW - Nonlinear matrix equations, Perturbation bound, Hermitian positive definite solution.
AB -
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.
Duanmei Zhou, Guoliang Chen, Guoxing Wu & Xiangyun Zhang. (1970). On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$.
Journal of Computational Mathematics. 31 (2).
209-220.
doi:10.4208/jcm.1210-m4082
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