The Hermitian positive definite solution of the nonlinear matrix equation (Q1662346)

scientific article; zbMATH DE number 6920335

Language	Label	Description	Also known as
English	The Hermitian positive definite solution of the nonlinear matrix equation	scientific article; zbMATH DE number 6920335

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instance of

scholarly article

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title

The Hermitian positive definite solution of the nonlinear matrix equation (English)

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International Journal of Nonlinear Sciences and Numerical Simulation

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publication date

17 August 2018

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zbMATH Keywords

Hermitian positive definite solution

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nonlinear matrix equation

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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/10.1515/ijnsns-2016-0016

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cites work

Perturbation analysis of the Hermitian positive definite solution of the matrix equation $X-A^{\ast}X^{-2} A = I$

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The general coupled matrix equations over generalized bisymmetric matrices

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An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices

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The reflexive and anti-reflexive solutions of a linear matrix equation and systems of matrix equations

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Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations

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On the generalized bisymmetric and skew-symmetric solutions of the system of generalized Sylvester matrix equations

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On Hermitian positive definite solution of the matrix equation $X-\sum _{i=1}^mA_i^*X^r A_i = Q$

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On the nonlinear matrix equation $X - \sum_{i=1}^{m}A_{i}^{*}X^{\delta _{i}}A_{i} = Q$

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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 existence of a positive definite solution of the matrix equation

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On an iteration method for solving a class of nonlinear matrix equations

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Positive definite solutions of the matrix equations $X\pm A^{\ast}X^{-q} A=Q$

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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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A nonlinear matrix equation connected to interpolation theory.

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

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On the Hermitian positive definite solutions of nonlinear matrix equation $X^s + \sum_{i = 1}^m A_i^\ast X^{- t_i} A_i = Q$

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Notes on the Hermitian positive definite solutions of a matrix equation

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Two kinds of nonlinear matrix equations and their corresponding matrix sequences

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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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Necessary and sufficient conditions for the existence of positive definite solutions of the matrix equationX+ATX−2A=I

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On the matrix equation $X+A^{T} \root 2^m \of {X^{-1}}A+I$

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Computing the Extremal Positive Definite Solutions of a Matrix Equation

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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 existence of extremal positive definite solutions of the nonlinear matrix equation

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Q3994493

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Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation $AX=B$

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Identifiers

zbMATH Open document ID

1401.15014

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Mathematics Subject Classification ID

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10.1515/IJNSNS-2016-0016

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Sitelinks

Mathematics(1 entry)

mardi Publication:1662346