An iterative method to solve a nonlinear matrix equation (Q2826211)

scientific article; zbMATH DE number 6636945

Language	Label	Description	Also known as
English	An iterative method to solve a nonlinear matrix equation	scientific article; zbMATH DE number 6636945

Statements

instance of

scholarly article

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title

An iterative method to solve a nonlinear matrix equation (English)

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10 October 2016

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zbMATH Keywords

nonlinear matrix equation

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iterative method

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Newton's iterative method

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convergence theorem

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.13001/1081-3810.2951

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cites work

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

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On Direct Methods for Solving Poisson’s 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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On positive definite solutions of the nonlinear matrix equation $X+A^* X^{-n} A=I$

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Some properties for the existence of a positive definite solution of matrix equation $X+A^*X^{-2^m}A=I$

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

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A note on the fixed-point iteration for the matrix equations $X \pm A^* X^{-1}A=I$

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Newton's method for the quadratic matrix equation

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Q5699650

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Convergence rate of an iterative method for a nonlinear matrix equation

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Iterative solution of two matrix equations

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Complex symmetric stabilizing solution of the matrix equation $X+A^{\top}X^{-1}A=Q$

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Solving a Structured Quadratic Eigenvalue Problem by a Structure-Preserving Doubling Algorithm

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The Matrix Equation $X+A^TX^{-1}A=Q$ and Its Application in Nano Research

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Notes on two perturbation estimates of the extreme solutions to the equations $X\pm A^{*}X^{-1}A=Q$

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On two perturbation estimates of the extreme solutions to the equations $X \pm A^*X^{-1}A = Q$

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

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Improved perturbation estimates for the matrix equations $X \pm A^{*} X^{-1} A=Q$.

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

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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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Newton's method for solving a class of nonlinear matrix equations

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A matrix LSQR iterative method to solve matrix equation<i>AXB</i>=<i>C</i>

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On positive definite solution of a nonlinear matrix equation

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Iterative methods for the extremal positive definite solution of the matrix equation $X+A^{*}X^{-\alpha}A=Q$

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Iterative positive definite solutions of the two nonlinear matrix equations $X \pm A^{T}X^{-2} A =I $

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published in

ELA. The Electronic Journal of Linear Algebra

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Identifiers

zbMATH Open document ID

1348.15010

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DOI

10.13001/1081-3810.2951

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Mathematics Subject Classification ID

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IPFS content identifier

bafkreiblr7jgn225b3xepf6xsm5ipuc7d4pqs35tguxitqisnxg46fed2e

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Sitelinks

Mathematics(1 entry)

mardi Publication:2826211