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Iterative solution of large linear systems /
Iterative Solution of Large Linear Systems.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1971.
|
| Colección: | Computer science and applied mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
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| 003 | OCoLC | ||
| 005 | 20231117044458.0 | ||
| 006 | m o d | ||
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| 008 | 101107s1971 nyua ob 001 0 eng d | ||
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| 020 | |a 1483274136 |q (electronic bk.) | ||
| 020 | |a 9780127730509 |q (electronic bk.) | ||
| 020 | |a 0127730508 |q (electronic bk.) | ||
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| 100 | 1 | |a Young, David M., |d 1923-2008. | |
| 245 | 1 | 0 | |a Iterative solution of large linear systems / |c David M. Young. |
| 260 | |a New York : |b Academic Press, |c 1971. | ||
| 300 | |a 1 online resource (xxiv, 570 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Computer science and applied mathematics | |
| 504 | |a Includes bibliographical references (pages 556-563). | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Iterative Solution of Large Linear Systems; Copyright Page; Dedication; Table of Contents; Preface; Acknowledgments; Notation; List of Fundamental Matrix Properties; List of Iterative Methods; Chapter 1. Introduction; 1.1. The Model Problem; Supplementary Discussion; Exercises; Chapter 2. Matrix Preliminaries; 2.1. Review of Matrix Theory; 2.2. Hermitian Matrices and Positive Definite Matrices; 2.3. Vector Norms and Matrix Norms; 2.4. Convergence of Sequences of Vectors and Matrices; 2.5. Irreducibility and Weak Diagonal Dominance; 2.6. Property A. | |
| 505 | 8 | |a 2.7. L-Matrices and Related Matrices2.8. Illustrations; Supplementary Discussion; Exercises; Chapter 3. Linear Stationary Iterative Methods; 3.1. Introduction; 3.2. Consistency, Reciprocal Consistency, and Complete Consistency; 3.3. Basic Linear Stationary Iterative Methods; 3.4. Generation of Completely Consistent Methods; 3.5. General Convergence Theorems; 3.6. Alternative Convergence Conditions; 3.7. Rates of Convergence; 3.8. The Jordan Condition Number of a 2 � 2 Matrix; Supplementary Discussion; Exercises; Chapter 4. Convergence of the Basic Iterative Methods. | |
| 505 | 8 | |a 4.1. General Convergence Theorems4.2. Irreducible Matrices with Weak Diagonal Dominance; 4.3. Positive Definite Matrices; 4.4. The SOR Method with Varying Relaxation Factors; 4.5. L-Matrices and Related Matrices; 4.6. Rates of Convergence of the J and GS Methods for the Model Problem; Supplementary Discussion; Exercises; Chapter 5. Eigenvalues of the SOR Method for Consistently Ordered Matrices; 5.1. Introduction; 5.2. Block Tri-Diagonal Matrices; 5.3. Consistently Ordered Matrices and Ordering Vectors; 5.4. Property A; 5.5. Nonmigratory Permutations. | |
| 505 | 8 | |a 6.6. Iterative Methods of Choosing [omega]b 6.7. An Upper Bound for [mu]; 6.8. A Priori Determination of [mu]: Exact Methods; 6.9. A Priori Determination of [mu]: Approximate Values; 6.10. Numerical Results; Supplementary Discussion; Exercises; Chapter 7. Norms of the SOR Method; 7.1. The Jordan Canonical Form of L[omega]; 7.2. Basic Eigenvalue Relation; 7.3. Determination of L[omega] D; 7.4. Determination of L[omega] D; 7.5. Determination of L[omega] A; 7.6. Determination of L[omega] A; 7.7. Comparison of L[omega]mb D and L[omega]mb IIA; Supplementary Discussion; Exercises; Chapter 8. The Modified SOR Method: Fixed Parameters. | |
| 520 | |a Iterative Solution of Large Linear Systems. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Equations, Simultaneous. | |
| 650 | 0 | |a Iterative methods (Mathematics) | |
| 650 | 0 | |a Linear systems. | |
| 650 | 0 | |a Iterative methods (Mathematics) |x Methodology. | |
| 650 | 6 | |a Syst�emes d'�equations. |0 (CaQQLa)201-0041484 | |
| 650 | 6 | |a It�eration (Math�ematiques) |0 (CaQQLa)201-0091650 |x M�ethodologie. |0 (CaQQLa)201-0379663 | |
| 650 | 6 | |a It�eration (Math�ematiques) |0 (CaQQLa)201-0091650 | |
| 650 | 6 | |a Syst�emes lin�eaires. |0 (CaQQLa)201-0041485 | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Equations, Simultaneous |2 fast |0 (OCoLC)fst00914514 | |
| 650 | 7 | |a Iterative methods (Mathematics) |2 fast |0 (OCoLC)fst00980827 | |
| 650 | 7 | |a Linear systems |2 fast |0 (OCoLC)fst00999098 | |
| 650 | 7 | |a Iteration |2 gnd |0 (DE-588)4123457-1 | |
| 650 | 7 | |a Lineare Algebra |2 gnd |0 (DE-588)4035811-2 | |
| 650 | 7 | |a Lineares Gleichungssystem |2 gnd |0 (DE-588)4035826-4 | |
| 650 | 7 | |a N�aherungsrechnung |2 gnd |0 (DE-588)4041115-1 | |
| 776 | 0 | 8 | |i Print version: |a Young, David M. |t Iterative Solution of Large Linear Systems. |d Burlington : Elsevier Science, �2014 |z 9780127730509 |
| 830 | 0 | |a Computer science and applied mathematics. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780127730509 |z Texto completo |