Iterative Methods for Linear Systems : Theory and Applications .Eugene E. Tyrtyshnikov
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Author: Eugene E. Tyrtyshnikov
Number of Pages: 260 pages
Published Date: 25 Sep 2014
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publication Country: New York, United States
Language: English
Format: Pdf
ISBN: 9781611973457
Download Link: Iterative Methods for Linear Systems Theory and Applications
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Systems of linear equations are ubiquitous in numerical analysis and scientific computing. and iterative methods are indispensable for the numerical treatment of such systems. This book offers a rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning. The book supplements standard texts on numerical mathematics for first-year graduate and advanced undergraduate courses and is suitable for advanced graduate classes covering numerical linear algebra and Krylov subspace and multigrid iterative methods. It will be useful to researchers interested in numerical linear algebra and engineers who use iterative methods for solving large algebraic systems.
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