Cones and error bounds for linear iterations

DOI10.1007/BF02190512zbMath0437.65056OpenAlexW4252956408MaRDI QIDQ1141463

George J. Miel

Publication date: 1980

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182397

zbMATH Keywords

iterative methodsbounded linear operatorsordered Banach spaceerror bounds in normJacobi and Gauss- Seidel splittingssplittings of rectangular matrices

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Linear operators on ordered spaces (47B60) Numerical solutions to equations with linear operators (65J10)

Related Items (1)

Majorizing Sequences and Error Bounds for Iterative Methods

Cites Work

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• Fehlerschranken und Konvergenzbeschleunigung bei einer monotonen oder alternierenden Iterationsfolge
• Regular splittings and the discrete Neumann problem
• Ordered linear spaces
• Monotone norms
• Computing Error Bounds in Solving Linear Systems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Proper Splittings of Rectangular Matrices
• On a Posteriori Error Estimates
• Monotonicity and the Generalized Inverse
• A Posteriori Error Estimates in Iterative Procedures

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