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Algorithmen für großräumige lineare algebraische Systeme:: Anwendungen in der Wissenschaft und-
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eBay-Artikelnr.:364699169970
Artikelmerkmale
- Artikelzustand
- ISBN-13
- 9789048150045
- Book Title
- Algorithms for Large Scale Linear Algebraic Systems:
- ISBN
- 9789048150045
- Subject Area
- Mathematics, Computers
- Publication Name
- Algorithms for Large Scale Linear Algebraic Systems : Applications in Science and Engineering
- Publisher
- Springer Netherlands
- Item Length
- 9.4 in
- Subject
- Programming / Algorithms, Numerical Analysis, General, Algebra / General
- Publication Year
- 2010
- Series
- NATO Science Series C: Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Weight
- 22.6 Oz
- Item Width
- 6.3 in
- Number of Pages
- VIII, 410 Pages
Über dieses Produkt
Product Identifiers
Publisher
Springer Netherlands
ISBN-10
9048150043
ISBN-13
9789048150045
eBay Product ID (ePID)
109206136
Product Key Features
Number of Pages
VIII, 410 Pages
Language
English
Publication Name
Algorithms for Large Scale Linear Algebraic Systems : Applications in Science and Engineering
Publication Year
2010
Subject
Programming / Algorithms, Numerical Analysis, General, Algebra / General
Type
Textbook
Subject Area
Mathematics, Computers
Series
NATO Science Series C: Ser.
Format
Trade Paperback
Dimensions
Item Weight
22.6 Oz
Item Length
9.4 in
Item Width
6.3 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
21
Series Volume Number
508
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
512/.5
Table Of Content
Preface. Computational Complexity of Solving Large Sparse and Large Special Linear Systems of Equations; V.Y. Pan. Block Iterative Methods for Reduced Systems of Linear Equations; D.J. Evans. Parallel Implicit Schemes for the Solution of Linear Systems; D.J. Evans. Adaptive Multigrid Methods for Hybrid Finite Elements; L. Ferragut. On Finding and Analyzing the Structure of The Cholesky Factor; A. George. The Go-Away Algorithm for Block Factorization of a Sparse Matrix; P.R. Almeida, J.R. Franco. Renumbering Sparse Matrices by Simulated Annealing; G. Winter, et al. Preconditioned Krylov Subspace Methods; Y. Saad. Preconditioning Krylov Methods; A. Suárez, et al. Convergence and Numerical Behaviour of the Krylov Space Methods; Z. Strakos. Look-ahead Block-CG Algorithms; C.G. Broyden. Iterative Bi-CG Type Methods and Implementation Aspects; H. Van der Vorst, G.L.G. Sleijpen. Problems of Breakdown and Near-Breakdown in Lanczos-Based Algorithms; C. Brezinski, et al. Hybrid Methods for Solving Systems of Equations; C. Brezinski. ABS Algorithms for Linear Equations and Applications to Optimization; E. Spedicato, et al. Solving Inverse Thermal Problems Using Krylov Methods; G. Montero. An Introduction on Global Optimization by Genetic Algorithms; G. Winter, et al. Blackbox and Non-blackbox Optimization: A Common Perspective; H. Kargupta. Messy Genetic Algorithms: Recent Developments; H. Kargupta. List of Contributors. Index.
Synopsis
An overview of the most successful algorithms and techniques for solving large, sparse systems of equations and some algorithms and strategies for solving optimization problems. The most important topics dealt with concern iterative methods, especially Krylov methods, ordering techniques, and some iterative optimization tools. The book is a compendium of theoretical and numerical methods for solving large algebraic systems, special emphasis being placed on convergence and numerical behaviour as affected by rounding errors, accuracy in computing solutions for ill-conditioned matrices, preconditioning effectiveness, ordering procedures, stability factors, hybrid procedures and stopping criteria. Recent advances in numerical matrix calculations are presented, especially methods to accelerate the solution of symmetric and unsymmetric linear systems. Convergence analysis of the multi-grid method using a posteriori error estimation in second order elliptic equations are presented. Some inverse problems are also included. Evolution based software is described, such as genetic algorithms and evolution strategies, relations and class hierarchising to improve the exploration of large search spaces and finding near-global optima. Recent developments in messy genetic algorithms are also described. The tutorial nature of the book makes it suitable for mathematicians, computer scientists, engineers and postgraduates., Proceedings of the NATO Advanced Study Institute on Algorithms for Large Scale Linear Algebraic Systems: State of the Art and Applications in Science and Engineering, Gran Canaria, Spain, June 23-July 6, 1996
LC Classification Number
QA150-272
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