Title: On the Generalized Overrelaxation Method for Operator Equations Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 1330195817
ISBN 13: 9781330195819
Binding: PAP
Condition: New
Weight: 109 grams

About this title

Synopsis

Explore how the generalized overrelaxation method can solve operator equations in Hilbert spaces, with clear paths to convergence.

This book presents a structured development of the gol-method, outlining when and why it converges for a broad class of operator equations. It combines theoretical identities with a practical main result, guiding readers from abstract setup to applicable conclusions.

Foundations: how the operator is split and what conditions the components must satisfy.
Key identities: relationships that connect the method’s iterates to the underlying operators.
Main theorem: a necessary and sufficient condition for convergence based on positive definiteness and spectral properties.
Special cases and examples: concrete illustrations that show how the theory applies to common problem forms.

Ideal for readers looking to understand advanced iterative methods in functional analysis, numerical analysis, and operator equations.

"About this title" may belong to another edition of this title.

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