Propagation of perturbations in the initial value along solutions of linear ODEs: a componentwise relative error analysis

DOI10.13137/2464-8728/31216zbMath1504.34027OpenAlexW3163303875MaRDI QIDQ5087763

Stefano Maset, Asma Farooq

Publication date: 1 July 2022

Full work available at URL: https://arts.units.it/handle/11368/2981853

zbMATH Keywords

conditioninglinear ordinary differential equationcomponentwise relative errors

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)

Uses Software

• mftoolbox

Cites Work

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• Condition
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• Computing the Fréchet Derivative of the Matrix Exponential, with an Application to Condition Number Estimation
• A General Matrix Eigenvalue Algorithm
• 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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