On Hermitian positive definite solutions of a nonlinear matrix equation (Q2045179)

scientific article; zbMATH DE number 7381138

Language	Label	Description	Also known as
English	On Hermitian positive definite solutions of a nonlinear matrix equation	scientific article; zbMATH DE number 7381138

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instance of

scholarly article

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title

On Hermitian positive definite solutions of a nonlinear matrix equation (English)

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Journal of Fixed Point Theory and Applications

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publication date

12 August 2021

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zbMATH Keywords

nonlinear matrix equation

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positive definite solution

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fixed point theorem

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iterative algorithm

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s11784-021-00867-z

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cites work

Fixed point theory and applications

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Ladder networks, fixpoints, and the geometric mean

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Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems

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Q5690490

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

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

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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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On the nonlinear matrix equation \(X+A*X - qA=Q\) \((q\geq 1)\)

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On positive definite solutions of the nonlinear matrix equation \(X+A^* X^{-n} A=I\)

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Iterative methods for nonlinear matrix equations \(X+ A^{\star}X^{-\alpha}A = I\)

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On the existence of a positive definite solution of the matrix equation \(X+A^ T X^{-1} A=I\)

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Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities

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Q3130643

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Convergence analysis of some iterative methods for a nonlinear matrix equation

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Some iterative methods for the largest positive definite solution to a class of nonlinear matrix equation

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

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Solvability for a nonlinear matrix equation

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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 \(X^s + \sum_{i = 1}^m A_i^\ast X^{- t_i} A_i = Q\)

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Q4691151

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Perturbation bounds for matrix functions

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An abstract monotone iterative technique

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Hilbert’s projective metric and iterated nonlinear maps

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Functional calculus for sesquilinear forms and the purification map

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GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

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On Certain Contraction Mappings in a Partially Ordered Vector Space

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On equations that are equivalent to the nonlinear matrix equation \(X+A^{*}X ^{-\alpha}A=Q\)

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Inequalities for the eigenvalues of the positive definite solutions of the nonlinear matrix equation

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Solutions and perturbation estimates for the matrix equation \(X^s+A^*X^{-t}A=Q\)

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The iterative method for solving nonlinear matrix equation \(X^{s} + A^{*}X^{-t}A = Q\)

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On some matrix inequalities.

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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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The Hermitian positive definite solution of the nonlinear matrix equation

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Some properties of the nonlinear matrix equation \(X^s + A^* X^{-t} A = Q\)

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Identifiers

zbMATH Open document ID

1470.15013

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Mathematics Subject Classification ID

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10.1007/S11784-021-00867-Z

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Sitelinks

Mathematics(1 entry)

mardi Publication:2045179