Solving system of nonlinear matrix equations over Hermitian positive definite matrices (Q6160520)

scientific article; zbMATH DE number 7683826

Language	Label	Description	Also known as
English	Solving system of nonlinear matrix equations over Hermitian positive definite matrices	scientific article; zbMATH DE number 7683826

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instance of

scholarly article

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title

Solving system of nonlinear matrix equations over Hermitian positive definite matrices (English)

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Linear and Multilinear Algebra

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publication date

10 May 2023

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zbMATH Keywords

system of nonlinear matrix equations

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iterative method

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Hermitian positive definite solution

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inversion-free iteration method

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MaRDI profile type

MaRDI publication profile

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cites work

On an Iteration Method for Solving a Class of Nonlinear Matrix Equations

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Contractive maps on normed linear spaces and their applications to nonlinear matrix equations

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A Perturbation Analysis for Nonlinear Selfadjoint Operator Equations

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On a Nonlinear Matrix Equation Arising in Nano Research

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Q4850020

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On the matrix equation $X+A^ TX^{-1}A=I$

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Optimal control of discrete-time switched linear systems

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Observer-based fuzzy adaptive stabilization of uncertain switched stochastic nonlinear systems with input quantization

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Optimal and robust control for linear state-delay systems

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Positive solutions to $X=A-BX^{-1}B^*$

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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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Computing the Extremal Positive Definite Solutions of a Matrix Equation

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Iterative solution of two matrix equations

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A new inversion free iteration for solving the equation $X + A^{\star} X^{-1} A = Q$

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A novel iterative method for the solution of a nonlinear matrix equation

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Improved methods and starting values to solve the matrix equations $X\pm A^*X^{-1}A=I$ iteratively

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Quasi gradient-based inversion-free iterative algorithm for solving a class of the nonlinear matrix equations

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Iterative algorithms for $X+A^{\mathrm T}X^{-1}A=I$ by using the hierarchical identification principle

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Solutions and perturbation estimates for the matrix equations $X\pm A^*X^{-n}A=Q$

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Q2724520

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Properties of positive definite solutions of the equation $X+A^*X^{-2}A=I$

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On matrix equations $X\pm A^*X^{-2}A=I$

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An improved inversion-free method for solving the matrix equation $X + A^\ast X^{-{\alpha}}A = Q$

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On the positive definite solutions of the matrix equations $X^{s}\pm A^{\text T} X^{-t} A=I_{n}$

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On the positive definite solution of a class of pair of nonlinear matrix equations

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Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities

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Q4853989

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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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Fast projection methods for minimal design problems in linear system theory

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

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Identifiers

zbMATH Open document ID

1529.15008

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DOI

10.1080/03081087.2022.2038058

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6160520