Investigation of positive definite solution of nonlinear matrix equation $$X^{p}=Q +\sum \nolimits _{i=1}^m A_i^*X^{\delta }A_i$$

Author:

Jin Zhixiang,Zhai Chengbo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference31 articles.

1. Al-Dubiban AM (2015) Positive definite solutions of the matrix equation $$X^{r}-\sum _{i=1}^m A_i^*X^{-\delta _i}A_i=I$$, Abstr Appl Anal 8.(473965)

2. Bhatia R (1997) Matrix analysis. In: Graduate Texts in Mathematics, Spring, Berlin

3. Bose S, Hossein SM, Paul K (2017) Solution of a class of nonlinear matrix. Linear Algebra Appl 530:109–126

4. Cai J, Chen JL (2019) Some new bound estimates of the Hermitian positive definite solutions of the nonlinear matrix equation $$X^s+A^*X^{-t}A=Q,$$. J Southeast Univ 35:142–146

5. Cai J, Chen GL (2009) Some investigation on Hermitian positive definite solutions of the matrix equation $$X^s+A^*X^{-t}A=Q,$$ Linear Algebra Appl 430: 2448–2456

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