Some iterative methods for the largest positive definite solution to a class of nonlinear matrix equation (Q2413498)

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English	Some iterative methods for the largest positive definite solution to a class of nonlinear matrix equation	scientific article

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instance of

scholarly article

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title

Some iterative methods for the largest positive definite solution to a class of nonlinear matrix equation (English)

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published in

Numerical Algorithms

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publication date

14 September 2018

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zbMATH Keywords

nonlinear matrix equation

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inversion-free iteration method

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Newton's iteration method

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largest positive definite solution

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semi-local convergence

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MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11075-017-0432-8

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cites work

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A new inversion free iteration for solving the equation $X + A^{\star} X^{-1} A = Q$

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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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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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A Contraction Analysis of the Convergence of Risk-Sensitive Filters

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Sensitivity analysis of the matrix equation from interpolation problems

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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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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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Perturbation analysis for the positive definite solution of the nonlinear matrix equation $X-\sum_{i=1}^mA_i^\ast X^{-1}A_i=Q$

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Positive definite solutions of the matrix equations

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Identifiers

zbMATH Open document ID

1397.65048

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DOI

10.1007/s11075-017-0432-8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2413498