Thompson metric method for solving a class of nonlinear matrix equation (Q979266)

scientific article; zbMATH DE number 5726749

Language	Label	Description	Also known as
English	Thompson metric method for solving a class of nonlinear matrix equation	scientific article; zbMATH DE number 5726749

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instance of

scholarly article

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title

Thompson metric method for solving a class of nonlinear matrix equation (English)

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Applied Mathematics and Computation

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publication date

25 June 2010

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zbMATH Keywords

nonlinear matrix equation

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positive definite solution

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iterative method

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perturbation bound

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Thompson metric

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.amc.2009.12.022

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cites work

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

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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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Solving a quadratic matrix equation by newton's method with exact line searches

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

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Applications of Hilbert's projective metric to a class of positive nonlinear operators

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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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On matrix equations $X\pm A^*X^{-2}A=I$

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Convergence of the doubling algorithm for the discrete-time algebraic Riccati equation

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The constrained solutions of two matrix equations

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Q5866893

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Q5490773

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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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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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A Perturbation Analysis for Nonlinear Selfadjoint Operator Equations

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On Certain Contraction Mappings in a Partially Ordered Vector Space

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

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Transformations between discrete-time and continuous-time algebraic Riccati equations

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Identifiers

zbMATH Open document ID

1226.65034

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Mathematics Subject Classification ID

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10.1016/J.AMC.2009.12.022

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Sitelinks

Mathematics(1 entry)

mardi Publication:979266