On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I, (Q5044152)

scientific article; zbMATH DE number 7606319

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English	On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I,	scientific article; zbMATH DE number 7606319

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instance of

scholarly article

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title

On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I, (English)

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DOI

10.1080/00207160.2022.2074275

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International Journal of Computer Mathematics

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publication date

24 October 2022

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Mathematics Subject Classification ID

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convergence analysis

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iteration methods

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positive definite solution

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nonlinear matrix equation

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inversion-free

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/00207160.2022.2074275

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OpenAlex ID

W4229078726

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cites work

Kalman Filtering with Random Coefficients and Contractions

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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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On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + A^*X^{-t}A = Q\)

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A survey on the high convergence orders and computational convergence orders of sequences

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A two-sided iterative method for computing positive definite solutions of a nonlinear matrix equation

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On an Iteration Method for Solving a Class of Nonlinear Matrix Equations

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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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Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities

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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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Q2963567

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The inversion-free iterative methods for solving the nonlinear matrix equation \(X + A^H X^{- 1} A + B^H X^{- 1} B = I\)

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SOME ITERATIVE ALGORITHMS FOR POSITIVE DEFINITE SOLUTION TO NONLINEAR MATRIX EQUATIONS

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The inversion-free iterative methods for a system of nonlinear matrix equations

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

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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 positive definite solutions of the matrix equations \(X^{s}\pm A^{\text T} X^{-t} A=I_{n}\)

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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 order of convergence of Broyden's method. Faster convergence on mixed linear-nonlinear systems of equations and a conjecture on the q-order

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A further study on a nonlinear matrix equation

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Solution of a class of nonlinear matrix equations

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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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Latest inversion-free iterative scheme for solving a pair of nonlinear matrix equations

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Preconditioned global GPBiCG method for solving saddle point problems with multiple right-hand sides and its convergence analysis

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On nonlinear 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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Some properties of the nonlinear matrix equation \(X^s + A^* X^{-t} A = Q\)

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High-order iterations for systems of nonlinear equations

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mardi Publication:5044152