A structured condition number for self-adjoint polynomial matrix equations with applications in linear control
type: Item
instance of: scholarly article
title: A structured condition number for self-adjoint polynomial matrix equations with applications in linear control
zbMATH Open document ID: 1377.15007
author: Zhigang Jia
author: Meixiang Zhao
published in: Journal of Computational and Applied Mathematics
publication date: 2017-11-14T00:00:00Z
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15A12
Mathematics Subject Classification ID: 15A54
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 6806876
zbMATH Keywords: self-adjoint polynomial matrix equation
zbMATH Keywords: structured condition number
zbMATH Keywords: linear operator
zbMATH Keywords: continuous-time algebraic Riccati equation
zbMATH Keywords: discrete-time algebraic Lyapunov equation
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.cam.2017.09.046
OpenAlex ID: W2766087529
cites work: Matrix Riccati equations in control and systems theory
cites work: Q4850020
cites work: Invariant metrics, contractions and nonlinear matrix equations
cites work: On the nonlinear matrix equation \(X+A^*{\mathcal F}(X)A=Q\): solutions and perturbation theory
cites work: Perturbation Theory for Algebraic Riccati Equations
cites work: Condition numbers of algebraic Riccati equations in the Frobenius norm
cites work: Sensitivity analysis of the algebraic Riccati equations
cites work: Q3702392
cites work: The Riccati equation
cites work: Perturbation analysis and condition numbers of symmetric algebraic Riccati equations
cites work: Mixed, Componentwise, and Structured Condition Numbers
cites work: Structured Condition Numbers for Invariant Subspaces
cites work: Structured Eigenvalue Condition Numbers
cites work: A Theory of Condition
cites work: Perturbation theory and backward error for \(AX - XB = C\)
cites work: Q5652137
cites work: On the Singular “Vectors” of the Lyapunov Operator
cites work: Computing real square roots of a real matrix
cites work: A Schur method for the square root of a matrix
cites work: Q4327468
cites work: On the numerical properties of the Schur approach for solving the matrix Riccati equation
cites work: A Schur method for solving algebraic Riccati equations
cites work: Conditioning of the stable, discrete-time Lyapunov operator
cites work: Solvability theory and iteration method for one self-adjoint polynomial matrix equation
DOI: 10.1016/J.CAM.2017.09.046
description: scientific article; zbMATH DE number 6806876