Quasinilpotency of the operators in picard-lindelöf iteration

DOI10.1080/01630569208816471zbMath0764.65040OpenAlexW1991378169MaRDI QIDQ4029138

Ulla Miekkala, Olavi Nevanlinna

Publication date: 7 March 1993

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569208816471

zbMATH Keywords

resolvent operatororder of convergencesuperlinear convergencequasinilpotent operatorsPicard-Lindelöf iterationcontinuous time iteration

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items

Convergence of the Arnoldi process with application to the Picard-Lindelöf iteration operator, Remarks on waveform relaxation method with overlapping splittings, A note on the generalized Drazin-Riesz invertible operators, Singular differential equations and \(g\)-Drazin invertible operators

Cites Work

• Remarks on Picard-Lindelöf iteration. II
• Sets of convergence and stability regions
• Convergence of Dynamic Iteration Methods for Initial Value Problems
• Waveform relaxation for linear RC-circuits
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