On the Generalized Overrelaxation Method for Operator Equations Classic Reprint
Language: English
Published by Forgotten Books, 2018
- Softcover
- New

Seller: PBShop.store UK, Fairford, GLOS, United KingdomPBShop.store UK
AbeBooks seller since June 11, 1999
Condition: New
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Add to basketItem description from seller
Seller Inventory # LW-9781330195819
- Title
- On the Generalized Overrelaxation Method for Operator Equations Classic Reprint
- Author
- W. V. Petryshyn
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Binding
- PAP
- Language
- English
- ISBN 10
- 1330195817
- ISBN 13
- 9781330195819
- Item weight
- 109 grams
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.
"Synopsis" may belong to another edition of this title.
PBShop.store UK
Fairford, GLOS, United Kingdom
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