Solution of a class of nonlinear matrix equations (Q5925494)

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scientific article; zbMATH DE number 7323150

Language	Label	Description	Also known as
English	Solution of a class of nonlinear matrix equations	scientific article; zbMATH DE number 7323150

Statements

scholarly article

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Solution of a class of nonlinear matrix equations (English)

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Sk. Monowar Hossein

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Bulletin of the Iranian Mathematical Society

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publication date

15 March 2021

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full work available at URL

https://arxiv.org/abs/1907.08408

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zbMATH Keywords

matrix equation

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fixed point

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partially ordered set

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MaRDI profile type

MaRDI publication profile

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Positive solutions to \(X=A-BX^{-1}B^*\)

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Solving a class of nonlinear matrix equations via the coupled fixed point theorem

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Positive definite solution of the matrix equation \(X = Q - A{^*}X^{-1}A + B{^*}X^{- 1}B\) via Bhaskar-Lakshmikantham fixed point theorem

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Solving systems of nonlinear matrix equations involving Lipschitzian mappings

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Fixed point theorems in partially ordered metric spaces and applications

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Positive definite solution of a nonlinear matrix equation

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On the existence of Hermitian positive definite solutions of the matrix equation \(X^s+A^*X^{-t}A=Q\)

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Positive definite solution of a class of nonlinear matrix equation

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Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A=Q\)

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Positive definite solutions and perturbation analysis of a class of nonlinear matrix equations

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Hermitian solutions of the equation \(X=Q+NX^{-1}N^*\)

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Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities

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On the matrix equation

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On convergence of three iterative methods for solving of the matrix equation \(X+A^\ast X^{-1}A+B^\ast X^{-1}B=Q\)

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On positive definite solutions of the family of matrix equations \(X+A^*X^{-n}A=Q\).

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Solving the nonlinear matrix equation \(X = Q + \sum ^{m}_{i=1}M_{i}X^{\delta _{i}}M^{*}_{i}\) via a contraction principle

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On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + A^\ast X^{-t_1} A + B^\ast X^{-t_2} B = Q\)

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Matrix Analysis

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On the Hermitian positive defnite solution of the nonlinear matrix equation \(X + A^*X ^{-1} A + B^*X ^{-1} B = I\)

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Efficient computation of the extreme solutions of $X+A^*X^{-1}A=Q$ and $X-A^*X^{-1}A=Q$

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A fixed point theorem in partially ordered sets and some applications to matrix equations

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The iterative methods for solving nonlinear matrix equation \(X+A^\star X^{-1}A+B^{\star}X^{-1}B=Q\)

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Identifiers

zbMATH Open document ID

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10.1007/s41980-020-00391-9

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5925494

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