Applied Iterative Methods (Paperback)

Louis A. Hageman

ISBN 10: 048643477X / ISBN 13: 9780486434773

Editore: Dover Publications, New York, 2004

Riguardo questo articolo

Paperback. 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. 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, more. 1981 ed. Includes 48 figures and 35 tables. 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. 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, more. 1981 ed. Includes 48 figures and 35 tables. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9780486434773

Dati bibliografici

• Titolo: Applied Iterative Methods (Paperback)
• Editore: Dover Publications, New York
• Data di pubblicazione: 2004
• Lingua: Inglese
• ISBN 10: 048643477X
• ISBN 13: 9780486434773
• Rilegatura: Paperback
• Condizione: new

Descrizione articolo

Riassunto

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.

Contenuti

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