Convergence of the Arnoldi process with application to the Picard-Lindelöf iteration operator

DOI10.1016/S0377-0427(97)00195-7zbMath0890.65069OpenAlexW2005953375MaRDI QIDQ1379700

Saara Hyvönen

Publication date: 6 July 1998

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(97)00195-7

zbMATH Keywords

convergencelinearsystemArnold processPicard-Lindelöf iteration operatorwaveform relaxation iteration

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (2)

Convergence of the Arnoldi process with application to the Picard-Lindelöf iteration operator ⋮ Computing the Spectrum and Representing the Resolvent

Cites Work

• Remarks on Picard-Lindelöf iteration. II
• Linear acceleration of Picard-Lindelöf iteration
• Convergence of the Arnoldi process with application to the Picard-Lindelöf iteration operator
• A note on quasitriangular operators
• Quasinilpotency of the operators in picard-lindelöf iteration
• Über Konvergenzbegriffe für lineare Operatoren in der Numerischen Mathematik
• Hessenberg matrices in krylov subspaces and the computation of the spectrum
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