Positive definite solutions of the matrix equations (Q603998)

scientific article; zbMATH DE number 5813880

Language	Label	Description	Also known as
English	Positive definite solutions of the matrix equations	scientific article; zbMATH DE number 5813880

Statements

instance of

scholarly article

0 references

title

Positive definite solutions of the matrix equations (English)

0 references

publication date

8 November 2010

0 references

zbMATH Keywords

nonlinear matrix equation

0 references

positive definite solution

0 references

fixed point theorem

0 references

iterative method

0 references

0 references

0 references

0 references

full work available at URL

https://doi.org/10.1016/j.camwa.2010.04.005

0 references

cites work

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

0 references

Q4850020

0 references

Computing the Extremal Positive Definite Solutions of a Matrix Equation

0 references

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

0 references

Improved methods and starting values to solve the matrix equations $X\pm A^*X^{-1}A=I$ iteratively

0 references

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

0 references

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

0 references

Q4428142

0 references

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

0 references

Convergence rate of an iterative method for a nonlinear matrix equation

0 references

Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case

0 references

A new inversion-free method for a rational matrix equation

0 references

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

0 references

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

0 references

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

0 references

On Hermitian positive definite solutions of matrix equation $X+A^{\ast} X^{-2} A=I$.

0 references

Solutions and perturbation estimates for the matrix equations $X\pm A^*X^{-n}A=Q$

0 references

On the matrix equation $X-A^* X^{-n} A = I$

0 references

On positive definite solutions of the family of matrix equations $X+A^*X^{-n}A=Q$.

0 references

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

0 references

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

0 references

Contractive maps on normed linear spaces and their applications to nonlinear matrix equations

0 references

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

0 references

On the matrix equation $X+A^{T} \root 2^m \of {X^{-1}}A+I$

0 references

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

0 references

On the positive definite solutions of nonlinear matrix equation $X+A^*x^{-\delta}A=Q$.

0 references

Q5866813

0 references

Iterative methods for nonlinear matrix equations $X+ A^{\star}X^{-\alpha}A = I$

0 references

On positive definite solution of a nonlinear matrix equation

0 references

Iterative methods for the extremal positive definite solution of the matrix equation $X+A^{*}X^{-\alpha}A=Q$

0 references

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

0 references

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

0 references

published in

Computers & Mathematics with Applications

0 references

Identifiers

zbMATH Open document ID

1198.15014

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

10.1016/J.CAMWA.2010.04.005

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:603998