Guaranteed error bounds for linear algebra problems and a class of Picard-Lindelöf iteration methods

Guaranteed error bounds for linear algebra problems and a class of Picard-Lindelöf iteration methods

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This study focuses on iteration methods based on the Banach fixed point theorem and a posteriori error estimates of Ostrowski. Their application for systems of linear simultaneous equations, bounded linear operators, as well as integral and differential equations is considered. The study presents a...

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Bibliographic Details
Main Author: Matculevich, Svetlana
Other Authors: Informaatioteknologian tiedekunta, Faculty of Information Technology, Tietotekniikan laitos, Department of Mathematical Information Technology, University of Jyväskylä, Jyväskylän yliopisto
Format: Master's thesis
Language:eng
Published: 2012
Subjects:
Error estimates
iterative method
reliability
the Picard–Lindelöf method
guaranteed bounds
Tietotekniikka
Mathematical Information Technology
602
iterointi
luotettavuus
Online Access: https://jyx.jyu.fi/handle/123456789/37373
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