Perturbation bounds for matrix functions

DOI10.7153/mia-2020-23-84OpenAlexW3046556783MaRDI QIDQ5139893

Mohsen Masoudi, Abbas Salemi

Publication date: 11 December 2020

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2020-23-84

zbMATH Keywords

Hermitian matrixperturbation boundmatrix functionnorms of matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Perturbations of nonlinear operators (47H14)

Related Items (1)

On Hermitian positive definite solutions of a nonlinear matrix equation

Uses Software

• mftoolbox

Cites Work

• Unnamed Item
• On positive definite solutions of nonlinear matrix equation \(X^s-A^{*}X^{-t}A=Q\)
• Solvability and sensitivity analysis of polynomial matrix equation \(X^s + A^TX^tA = Q\)
• An inequality for trace ideals
• Differentiation of operator functions and perturbation bounds
• On the positive definite solutions of the matrix equations \(X^{s}\pm A^{\text T} X^{-t} A=I_{n}\)
• Perturbations of operator functions in a Hilbert space
• Positive Definite Matrices
• Perturbations of functions of diagonalizable matrices
• The Sensitivity of the Matrix Exponential
• Operator Functions and Operator Equations
• Functions of Matrices

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