The feasibility of homotopy continuation method for a nonlinear matrix equation (Q6534432)

scientific article; zbMATH DE number 7345944

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English	The feasibility of homotopy continuation method for a nonlinear matrix equation	scientific article; zbMATH DE number 7345944

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instance of

scholarly article

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title

The feasibility of homotopy continuation method for a nonlinear matrix equation (English)

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Mathematical Problems in Engineering

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publication date

7 May 2021

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MaRDI profile type

Publication

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cites work

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

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Iterative solution of two matrix equations

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Perturbation analysis of the maximal solution of the matrix equation $X+A^*X^{-1}A=P$. II

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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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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 solutions of nonlinear matrix equation $X+A^*x^{-\delta}A=Q$.

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On positive definite solutions of the matrix equation $X + A^* X^{-q} A = Q(0 < q \leq 1)$

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The extremal solution of the matrix equation $X^s+A^\ast X^{-q}A=I$

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Some inequalities for the nonlinear matrix equation $X^s +A^*X^{-t}A = Q$: trace, determinant and eigenvalue

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Positive definite solutions of the nonlinear matrix equation $X+A^*X^qA=Q$ ($q>0$).

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On the Hermitian positive definite solution of the nonlinear matrix equation

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Solutions and perturbation analysis for the nonlinear matrix equation $X + \sum^m_{i=1} A^*_i X^{-1} A_i = I$

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On the existence of extremal positive definite solutions of the nonlinear matrix equation

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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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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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The investigation on two kinds of nonlinear matrix equations

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

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

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On the nonlinear matrix equation $X^s+A^*F(X)A=Q$ with $s\geq 1$

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

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A Perturbation Analysis for Nonlinear Selfadjoint Operator Equations

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Application of homotopy analysis method to the unsteady squeezing flow of a second-grade fluid between circular plates

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The Feasibility of Continuation Methods for Nonlinear Equations

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Matrix theory. Basic results and techniques

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Identifiers

zbMATH Open document ID

1544.15021

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DOI

10.1155/2020/1787058

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6534432