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Applied Iterative Methods

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Applied Iterative Methods Cover

 

Synopses & Reviews

Publisher Comments:

This graduate-level text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundary-value problems. Assuming minimal mathematical background, it profiles the relative merits of several general iterative procedures. Topics include polynomial acceleration of basic iterative methods, Chebyshev and conjugate gradient acceleration procedures applicable to partitioning the linear system into a “red/black” block form, adaptive computational algorithms for the successive overrelaxation (SOR) method, and computational aspects in the use of iterative algorithms for solving multidimensional problems. 1981 edition. 48 figures. 35 tables.

Book News Annotation:

Hageman, with a large electric company, and Young (numerical analysis, U. of Texas-Austin) explain how to use iterative methods to solve large, sparse systems of linear algebraic equations. They focus on choosing which iterative method to use and how to implement it, how to select the iteration parameters required by some methods, and when the iterative process should be terminated. Readers are assumed to have some knowledge of computer programming and linear algebra and some experience using iterative methods. The 1981 edition was published by Academic Press, San Diego.
Annotation 2004 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

This graduate-level text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundary-value problems. 1981 edition. Includes 48 figures and 35 tables.

Table of Contents

1. Background on Linear Algebra and Related Topics

2. Background on Basic Iterative Methods

3. Polynomial Acceleration

4. Chebyshev Acceleration

5. An Adaptive Chebyshev Procedure Using Special Norms

6. Adaptive Chebyshev Acceleration

7. Conjugate Gradient Acceleration

8. Special Methods for Red/Black Partitionings

9. Adaptive Procedures for the Successive Overrelaxation Method

10. The Use of Iterative Methods in the Solution of Partial Differential Equations

11. Case Studies

12. The Nonsymmetrizable Case

Appendixes

Bibliography

Index

Product Details

ISBN:
9780486434773
Author:
Hageman, Louis A
Publisher:
Dover Publications
Author:
Hageman, Louis A.
Author:
Young, David M.
Author:
Mathematics
Location:
Mineola, N.Y.
Subject:
General
Subject:
Applied
Subject:
Iterative methods (Mathematics)
Subject:
Iterative methods.
Subject:
General Mathematics
Subject:
Mathematical Analysis
Subject:
Mathematics-Applied
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
04-009
Publication Date:
20040731
Binding:
TRADE PAPER
Language:
English
Illustrations:
48 figures + 35 tables
Pages:
416
Dimensions:
8.5 x 5.38 in 1 lb

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Related Subjects


Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » General

Applied Iterative Methods Used Trade Paper
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Product details 416 pages Dover Publications - English 9780486434773 Reviews:
"Synopsis" by ,
This graduate-level text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundary-value problems. 1981 edition. Includes 48 figures and 35 tables.

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