Solutions and perturbation analysis for the nonlinear matrix equation \(X + \sum^m_{i=1} A^*_i X^{-1} A_i = I\) (Q427002)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Solutions and perturbation analysis for the nonlinear matrix equation \(X + \sum^m_{i=1} A^*_i X^{-1} A_i = I\) |
scientific article; zbMATH DE number 6045844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solutions and perturbation analysis for the nonlinear matrix equation \(X + \sum^m_{i=1} A^*_i X^{-1} A_i = I\) |
scientific article; zbMATH DE number 6045844 |
Statements
Solutions and perturbation analysis for the nonlinear matrix equation \(X + \sum^m_{i=1} A^*_i X^{-1} A_i = I\) (English)
0 references
13 June 2012
0 references
The authors study some nonlinear matrix equations arising from theoretical physics. They give some necessary and sufficient conditions for the existence of positive definite solutions. A precise perturbation bound for the maximal positive solution is derived. The important result is illustrated by a numerical example.
0 references
nonlinear matrix equation
0 references
perturbation bound
0 references
positive definite solutions
0 references
numerical example
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
