Variational Analysis of Some Conjugate Gradient Methods - Softcover

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9781332208944: Variational Analysis of Some Conjugate Gradient Methods

Synopsis

This book presents an analysis of conjugate gradient methods for solving systems of linear equations. Conjugate gradient methods are a class of iterative algorithms that are used to solve large-scale linear systems that arise in various scientific and engineering applications. The book provides a unified framework for understanding the convergence properties and error bounds of these methods. The author shows how these methods can be derived variationally, which leads to new insights into their behavior. The book also discusses the use of preconditioners to improve the convergence of conjugate gradient methods. The author provides an overview of the historical development of conjugate gradient methods and discusses their relationship to other iterative methods. The book is a valuable resource for researchers and practitioners who are interested in the theory and application of conjugate gradient methods.

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