Handbook of numerical analysis Volume 7 Solution of equations in Rn (part 3), Techniques of scientific computing (part 3)
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| Format: | Buch |
| Sprache: | English |
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2000
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| 245 | 1 | 0 | |a Handbook of numerical analysis |n Volume 7 |p Solution of equations in Rn (part 3), Techniques of scientific computing (part 3) |c general editor: P. G. Ciarlet (Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie), J. L. Lions |
| 264 | 1 | |a Amsterdam |b North-Holland |c 2000 | |
| 300 | |a x, 1020 Seiten |b Illustrationen | ||
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| 700 | 1 | |a Ciarlet, Philippe G. |d 1938- |e Sonstige |0 (DE-588)143368362 |4 oth | |
| 700 | 1 | |a Lions, Jacques-Louis |d 1928-2001 |e Sonstige |0 (DE-588)124055397 |4 oth | |
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Datensatz im Suchindex
| DE-19_call_number | 1601/SK 900 C566-7=HB Numerik 1601/SK 900 C566-7 |
|---|---|
| DE-19_location | 95 |
| DE-BY-TUM_call_number | 0102 MAT 650f 2001 A 11377 |
| DE-BY-TUM_katkey | 1335251 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020131984 |
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| _version_ | 1823054113766637568 |
| adam_text | Titel: Bd. 7. Handbook of numerical analysis. Solution of equations in R n (part 3). Techniques of scientif
Autor:
Jahr: 2000
Contents
Foreword 7
CHAPTER I. Numerical Solution of General Linear Systems 9
1. Introduction to Gaussian elimination 9
2. Examples of problems 14
3. The general form of Gaussian elimination 14
4. Gaussian elimination for symmetric systems 27
5. Gaussian elimination for H-matrices 41
6. Block methods 47
7. Particular systems 48
CHAPTER II. Error Analysis 51
8. Round off error analysis 51
9. Iterative refinement 75
10. Geometric analysis 76
Chapter III. Vector and Parallel Algorithms for General Systems 81
11. Introduction 81
12. BLAS routines 82
13. LAPACK (and follow ons) 84
14. Triangular systems solvers on distributed memory computers 84
15. LU factorization on distributed memory computers 91
CHAPTER IV. Gaussian Elimination for Sparse Linear Systems 95
16. Introduction 95
17. Basic storage schemes and fill-in 96
18. Definitions and graph theory 99
19. Band and envelope numbering schemes for symmetric matrices 111
20. The minimum degree ordering for symmetric matrices 119
21. The nested dissection ordering for symmetric matrices 122
22. The multifrontal method 128
23. Nonsymmetric sparse matrices 135
24. Numerical stability for sparse matrices 142
5
6 G. Meurant
Chapter V. Parallel Algorithms for Sparse Matrices 143
25. Introduction 143
26. Symmetric positive definite systems 143
27. Nonsymmetric systems 153
References 155
Subject Index 169
|
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| building | Verbundindex |
| bvnumber | BV013491918 |
| classification_rvk | SK 900 |
| ctrlnum | (OCoLC)634962350 (DE-599)BVBBV013491918 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013491918 |
| illustrated | Illustrated |
| indexdate | 2025-02-03T17:14:18Z |
| institution | BVB |
| isbn | 0444503501 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009208377 |
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| publishDate | 2000 |
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| spellingShingle | Handbook of numerical analysis Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4143413-4 |
| title | Handbook of numerical analysis |
| title_auth | Handbook of numerical analysis |
| title_exact_search | Handbook of numerical analysis |
| title_full | Handbook of numerical analysis Volume 7 Solution of equations in Rn (part 3), Techniques of scientific computing (part 3) general editor: P. G. Ciarlet (Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie), J. L. Lions |
| title_fullStr | Handbook of numerical analysis Volume 7 Solution of equations in Rn (part 3), Techniques of scientific computing (part 3) general editor: P. G. Ciarlet (Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie), J. L. Lions |
| title_full_unstemmed | Handbook of numerical analysis Volume 7 Solution of equations in Rn (part 3), Techniques of scientific computing (part 3) general editor: P. G. Ciarlet (Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie), J. L. Lions |
| title_short | Handbook of numerical analysis |
| title_sort | handbook of numerical analysis solution of equations in rn part 3 techniques of scientific computing part 3 |
| topic | Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Numerische Mathematik Aufsatzsammlung |
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