Condition numbers of the nonlinear matrix equation \(X^p - A^\ast e^X A = I\)

DOI10.1155/2018/3291867zbMath1395.15004OpenAlexW2886530724MaRDI QIDQ1671177

Syed Muhammad Raza Shah Naqvi, Chacha Stephen Chacha

Publication date: 6 September 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/3291867

zbMATH Keywords

nonlinear matrix equationperturbation bound

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (3)

On iterative algorithm and perturbation analysis for the nonlinear matrix equation ⋮ Elementwise Minimal Nonnegative Solutions for a Class of Nonlinear Matrix Equations ⋮ On solution and perturbation estimates for the nonlinear matrix equation \(X-A^*e^XA=I\)

Cites Work

• Condition numbers for the nonlinear matrix equation and their statistical estimation
• Robust suboptimal control of nonlinear systems
• Some applications of doubly stochastic matrices
• On the nonlinear matrix equation \(X+A^*{\mathcal F}(X)A=Q\): solutions and perturbation theory
• Perturbation analysis for solutions of \(X \pm A^{\ast}X^{-n} A = Q\)
• Convergence of pure and relaxed Newton methods for solving a matrix polynomial equation arising in stochastic models
• On Hermitian positive definite solutions of the nonlinear matrix equation \(X-A^{*}e^{X}A=I\)
• Mixed, Componentwise, and Structured Condition Numbers
• On mixed and componentwise condition numbers for Moore–Penrose inverse and linear least squares problems
• A Theory of Condition
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Condition numbers of the nonlinear matrix equation \(X^p - A^\ast e^X A = I\)