Solving two generalized nonlinear matrix equations (Q2053238)

scientific article; zbMATH DE number 7435227

Language	Label	Description	Also known as
English	Solving two generalized nonlinear matrix equations	scientific article; zbMATH DE number 7435227

Statements

instance of

scholarly article

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title

Solving two generalized nonlinear matrix equations (English)

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author

Peter Chang-Yi Weng

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published in

Journal of Applied Mathematics and Computing

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publication date

29 November 2021

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zbMATH Keywords

generalized nonlinear matrix equations

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Newton's method

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maximal and minimal Hermitian positive definite solutions

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generalized Smith method

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perturbation analysis

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describes a project that uses

Matlab

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s12190-020-01448-y

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cites work

Consistent Estimates of the Parameters of a Linear System

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Q3830876

0 references

Positive solutions to $X=A-BX^{-1}B^*$

0 references

Solving nonlinear matrix equations arising in tree-like stochastic processes.

0 references

On Direct Methods for Solving Poisson’s Equations

0 references

Q5670526

0 references

Q3001454

0 references

Palindromic eigenvalue problems: A brief survey

0 references

Q4405419

0 references

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

0 references

On the nonlinear matrix equation $X - \sum_{i=1}^{m}A_{i}^{*}X^{\delta _{i}}A_{i} = Q$

0 references

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

0 references

On the existence of a positive definite solution of the matrix equation $X+A^ T X^{-1} A=I$

0 references

Numerical solution to generalized Lyapunov/Stein and rational Riccati equations in stochastic control

0 references

Properties of the solutions of rational matrix difference equations

0 references

Complex symmetric stabilizing solution of the matrix equation $X+A^{\top}X^{-1}A=Q$

0 references

On a nonlinear matrix equation arising in nano research

0 references

Numerical solution of nonlinear matrix equations arising from Green's function calculations in nano research

0 references

Iterative solution of two matrix equations

0 references

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

0 references

Notes on two perturbation estimates of the extreme solutions to the equations $X\pm A^{*}X^{-1}A=Q$

0 references

Convergence analysis of some iterative methods for a nonlinear matrix equation

0 references

On two perturbation estimates of the extreme solutions to the equations $X \pm A^*X^{-1}A = Q$

0 references

On the Hermitian positive definite solution of the nonlinear matrix equation

0 references

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

0 references

On the Hermitian positive definite solutions of nonlinear matrix equation $X^s + A^\ast X^{-t_1} A + B^\ast X^{-t_2} B = Q$

0 references

On the Hermitian positive defnite solution of the nonlinear matrix equation $X + A^*X ^{-1} A + B^*X ^{-1} B = I$

0 references

Über monotone Matrixfunktionen

0 references

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

0 references

Nonlinear matrix equations and structured linear algebra

0 references

Schur complements and statistics

0 references

Q4647753

0 references

Perturbation Bounds for the Nonlinear Matrix Equation

0 references

Functional calculus for sesquilinear forms and the purification map

0 references

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

0 references

A nonlinear matrix equation connected to interpolation theory.

0 references

The symmetric linear matrix equation

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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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The iterative methods for solving nonlinear matrix equation $X+A^\star X^{-1}A+B^{\star}X^{-1}B=Q$

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

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

0 references

Remarks on the Control of Discrete-Time Distributed Parameter Systems

0 references

On the matrix equation $X+A^ TX^{-1}A=I$

0 references

On Smith-type iterative algorithms for the Stein matrix equation

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Identifiers

Mathematics Subject Classification ID

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10.1007/S12190-020-01448-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:2053238