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.
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On the Generalized Overrelaxation Method for Operator Equations
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book tackles a central issue in mathematics: studying operators, entities that change the input they receive in a systematic way, and how to solve equations involving them. The author presents a new method, the generalized overrelaxation method, which is applicable to a wider range of operator equations than previously possible. This method is derived from existing convergence theorems, and the book provides a necessary and sufficient condition for its effective use. The author also provides illustrative examples and shows that the method can be applied to Fredholm integral equations and matrix equations. The insights presented in this book significantly expand the scope of operator equations that can be solved effectively. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330195819_0
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On the Generalized Overrelaxation Method for Operator Equations Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330195819
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On the Generalized Overrelaxation Method for Operator Equations Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330195819
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