How perturbations in the matrix of linear systems of ordinary differential equations propagate along solutions

DOI10.1016/j.cam.2021.114046zbMath1497.34021OpenAlexW4200624058WikidataQ115359645 ScholiaQ115359645MaRDI QIDQ2075964

Asma Farooq, Stefano Maset

Publication date: 16 February 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.114046

zbMATH Keywords

conditioningnormal matrixlinear ordinary differential equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05) Conditioning of matrices (15A12)

Uses Software

• mftoolbox

Cites Work

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• Estimating the condition number of \(f(A)b\)
• Conditioning and relative error propagation in linear autonomous ordinary differential equations
• Condition
• Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
• Computing the Fréchet Derivative of the Matrix Exponential, with an Application to Condition Number Estimation
• Bounds and perturbation bounds for the matrix exponential
• The Sensitivity of the Matrix Exponential
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Functions of Matrices

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