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Applied Iterative Methodsby Louis A Hageman
Synopses & ReviewsPublisher Comments:This graduatelevel text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundaryvalue 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 TexasAustin) 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 graduatelevel text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundaryvalue problems. 1981 edition. Includes 48 figures and 35 tables. Table of Contents1. 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 What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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