On the nonlinear matrix equation Xp=A+∑i=1mMi∗(B+X−1)−1Mi

DOI10.1080/03081087.2021.1882371OpenAlexW3128216484MaRDI QIDQ5887690

Zhi-Xiang Jin, Cheng-Bo Zhai

Publication date: 13 April 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2021.1882371

zbMATH Keywords

fixed point theorempartially ordered setnonlinear matrix equationHPD solution

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Matrix equations and identities (15A24) Numerical methods for matrix equations (65F45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fixed point theorem in ordered Banach spaces and applications to matrix equations
• On the existence of Hermitian positive definite solutions of the matrix equation \(X^s+A^*X^{-t}A=Q\)
• On the solution of the nonlinear matrix equation \(X^n=f(X)\)
• Matrix Riccati equations in control and systems theory
• Solvability theory and iteration method for one self-adjoint polynomial matrix equation
• The positive definite solution of the nonlinear matrix equation \(X^p = A + M(B + X^{-1})^{-1} M^\ast\)
• The positive definite solution to a nonlinear matrix equation
• Iterative solution of two matrix equations
• Invariant metrics, contractions and nonlinear matrix equations

This page was built for publication: On the nonlinear matrix equation Xp=A+∑i=1mMi∗(B+X−1)−1Mi