Title: Ordering Properties of Linear Successive Iteration Schemes Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 1330435427
ISBN 13: 9781330435427
Binding: PAP
Condition: New
Weight: 136 grams

About this title

Synopsis

Unlock the math behind why the order of corrections shapes convergence in linear systems.

In this work, the author develops a general theory of ordering for linear successive iteration schemes. It explains how the way you sequence the correction steps can affect the error behavior and convergence of the method, across different grid structures and boundary conditions. The book also explores when different orderings share the same eigenvalues as the standard approach, and how to count and characterize those orderings for various problem sizes.

How error matrices and their eigenvalues determine convergence rates.
distinctions between the usual ordering and various ordered schemes.
How the analysis extends to general n-order systems and different coupling patterns.
Methods to enumerate and compare orderings that preserve eigenvalues.

Ideal for readers of numerical linear algebra and iterative methods, this book suits students, researchers, and practitioners who design or analyze solvers for large linear systems.

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

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