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scientific article; zbMATH DE number 6914817

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 6914817

Statements

scholarly article

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publication date

8 August 2018

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zbMATH Keywords

nonlinear matrix equation

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Sherman-Morrison-Woodbury formula

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structure-preserving doubling algorithm

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fixed point iteration

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Newton iteration

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MaRDI profile type

MaRDI publication profile

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Positive definite solution of the matrix equation \(X = Q - A{^*}X^{-1}A + B{^*}X^{- 1}B\) via Bhaskar-Lakshmikantham fixed point theorem

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The Matrix Equation $A\bar X - XB = C$ and Its Special Cases

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On the first degree Fejér-Riesz factorization and its applications to \(X+A^{\ast}X^{-1}A=Q\)

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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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Positive definite solution of a class of nonlinear matrix equation

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Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A=Q\)

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

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Iterative solution of two 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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Two structure-preserving-doubling like algorithms for obtaining the positive definite solution to a class of nonlinear matrix equation

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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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An algebraic relation between consimilarity and similarity of complex matrices and its applications

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On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)

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Perturbation analysis of the matrix equation \(X-A^*X^{-p}A=Q\)

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Towards positive definite solutions of a class of nonlinear matrix equations

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Convergence Analysis of Structure-Preserving Doubling Algorithms for Riccati-Type Matrix Equations

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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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Efficient computation of the extreme solutions of $X+A^*X^{-1}A=Q$ and $X-A^*X^{-1}A=Q$

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

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On nonlinear matrix equations

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Numerical Methods to Solve the Complex Symmetric Stabilizing Solution of the Complex Matrix Equation $X+A^TX^{−1}A=Q$

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

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An improved inversion-free method for solving the matrix equation \(X + A^\ast X^{-{\alpha}}A = Q\)

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Positive definite solutions of the nonlinear matrix equation \(X + A^H\bar{X}^{-1}A = I\)

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Identifiers

zbMATH Open document ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4578235

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