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Více informací o knize Lanczos and Conjugate Gradient Algorithms

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Anotace knihy

This book presents the most comprehensive discussion to date of the use of the Lanczos and CG methods for computing eigenvalues and solving linear systems in both exact and floating point arithmetic. The author synthesizes the research done over the past 30 years, describing and explaining the 'average' behavior of these methods and providing new insight into their properties in finite precision. Many examples are given that show significant results obtained by researchers in the field. The author details the mathematical properties of both algorithms and emphasizes how they can be used efficiently in finite precision arithmetic, regardless of the growth of rounding errors that occurs. Loss of orthogonality involved with using the Lanczos algorithm, ways to improve the maximum attainable accuracy of CG computations, and what modifications need to be made when the CG method is used with a preconditioner are addressed.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Applied mathematics

• Plný název: Lanczos and Conjugate Gradient Algorithms
• Podnázev: From Theory to Finite Precision Computations
• Autor: Gérard Meurant
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 380
• EAN: 9780898716160
• ISBN: 0898716160
• ID: 02050191
• Nakladatelství: Society for Industrial & Applied Mathematics,U.S.
• Hmotnost: 649 g
• Rozměry: 229 × 152 × 19 mm
• Datum vydání: 31. July 2006

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