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On the positive definite solution of a class of pair of nonlinear matrix equations (Q2176843)

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Language	Label	Description	Also known as
English	On the positive definite solution of a class of pair of nonlinear matrix equations	scientific article

Statements

scholarly article

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

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Sk. Monowar Hossein

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Computational and Applied Mathematics

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publication date

5 May 2020

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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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full work available at URL

https://doi.org/10.1007/s40314-020-1127-7

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Solving systems of nonlinear matrix equations involving Lipschitzian mappings

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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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An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation

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The general coupled matrix equations over generalized bisymmetric matrices

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The double-step scale splitting method for solving complex Sylvester matrix equation

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A generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method for solving complex Sylvester matrix equation

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Generalized solution sets of the interval generalized Sylvester matrix equation \(\sum_{i=1}^p\mathbf A_iX_i+\sum_{j=1}^qY_j\mathbf B_j=\mathbf C\) and some approaches for inner and outer estimations

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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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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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Functions of Matrices

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

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Fast projection methods for minimal design problems in linear system theory

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Least-squares solution with the minimum-norm for the matrix equation \((A\times B,G\times H) = (C,D)\)

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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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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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On the nonlinear matrix equation \(X+A^*{\mathcal F}(X)A=Q\): solutions and perturbation theory

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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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The MGPBiCG method for solving the generalized coupled Sylvester-conjugate matrix equations

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ON THE NONLINEAR MATRIX EQUATION <TEX>$X+\sum_{i=1}^{m}A_i^*X^{-q}A_i=Q$</TEX>(0＜q≤1)

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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

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10.1007/s40314-020-1127-7

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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:2176843

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