Computational methods of linear algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, NJ
Wiley-Interscience
2005
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Pure and applied mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 268 S. graph. Darst. |
| ISBN: | 0471735795 9780471735793 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804133539597254656 |
|---|---|
| adam_text | COMPUTATIONAL METHODS OF LINEAR ALGEBRA SECOND EDITION GRANVILLE SEWELL
TEXAS A&M UNIVERSITY MATHEMATICS DEPARTMENT COLLEGE STATION, TEXAS AND
UNIVERSITY OF TEXAS-EL PASO EL PASO, TEXAS WILEY- INTERSCIENCE A JOHN
WILEY & SONS, INC., PUBLICATION CONTENTS PREFACE IX 0 REFERENCE MATERIAL
1 0.1 MISCELLANEOUS RESULTS FROM LINEAR ALGEBRA 1 0.2 SPECIAL MATRICES 4
0.3 VECTOR AND MATRIX NORMS 7 1 SYSTEMS OF LINEAR EQUATIONS 11 1.1
INTRODUCTION 11 1.2 GAUSSIAN ELIMINATION 12 1.3 SOLVING SEVERAL SYSTEMS
WITH THE SAME MATRIX 20 1.4 THE LU DECOMPOSITION 24 1.5 BANDED SYSTEMS
27 1.6 APPLICATION: CUBIC SPLINE INTERPOLATION 33 1.7 ROUNDOFF ERROR 39
1.8 ITERATIVE METHODS 46 1.9 PROBLEMS 57 2 LINEAR LEAST SQUARES PROBLEMS
63 2.1 INTRODUCTION 63 2.2 ORTHOGONAL REDUCTION 66 2.3 REDUCTION USING
HOUSEHOLDER TRANSFORMATIONS 73 2.4 LEAST SQUARES APPROXIMATION WITH
CUBIC SPLINES 78 2.5 PROBLEMS 81 3 THE EIGENVALUE PROBLEM 86 3.1
INTRODUCTION 86 3.2 THE JACOBI METHOD FOR SYMMETRIC MATRICES 88 3.3 THE
QR METHOD FOR GENERAL REAL MATRICES 96 3.4 ALTERNATIVE METHODS FOR
GENERAL MATRICES 109 3.5 THE POWER AND INVERSE POWER METHODS 119 3.6 THE
GENERALIZED EIGENVALUE PROBLEM 130 VII VIII CONTENTS 3.7 PROBLEMS 132 4
LINEAR PROGRAMMING 138 4.1 LINEAR PROGRAMMING APPLICATIONS 138 4.1.1 THE
RESOURCE ALLOCATION PROBLEM 138 4.1.2 THE BLENDING PROBLEM 139 4.1.3 THE
TRANSPORTATION PROBLEM 139 4.1.4 CURVE FITTING 140 4.2 THE SIMPLEX
METHOD, WITH ARTIFICIAL VARIABLES 141 4.3 THE DUAL SOLUTION 149 4.4
EXAMPLES 153 4.5 A FORTRAN90 PROGRAM 157 4.6 THE REVISED SIMPLEX METHOD
165 4.7 PROBLEMS 176 5 THE FAST FOURIER TRANSFORM 182 5.1 THE DISCRETE
FOURIER TRANSFORM 182 5.2 THE FAST FOURIER TRANSFORM 183 5.3 A FORTRAN90
PROGRAM 186 5.4 PROBLEMS 188 6 LINEAR ALGEBRA ON SUPERCOMPUTERS 196 6.1
VECTOR COMPUTERS 196 6.2 PARALLEL COMPUTERS 199 6.3 PROBLEMS 218
APPENDIX A - MATLAB PROGRAMS 221 APPENDIX B - ANSWERS TO SELECTED
EXERCISES 255 REFERENCES 263 INDEX 267
|
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| author | Sewell, Granville 1948- |
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| author_sort | Sewell, Granville 1948- |
| author_variant | g s gs |
| building | Verbundindex |
| bvnumber | BV019992671 |
| callnumber-first | Q - Science |
| callnumber-label | QA184 |
| callnumber-raw | QA184.2 |
| callnumber-search | QA184.2 |
| callnumber-sort | QA 3184.2 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 220 SK 915 ST 600 |
| ctrlnum | (OCoLC)57893640 (DE-599)BVBBV019992671 |
| dewey-full | 512/.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.5 |
| dewey-search | 512/.5 |
| dewey-sort | 3512 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| edition | 2. ed. |
| format | Book |
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| indexdate | 2024-07-09T20:10:20Z |
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| isbn | 0471735795 9780471735793 |
| language | English |
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| physical | X, 268 S. graph. Darst. |
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| publisher | Wiley-Interscience |
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| series2 | Pure and applied mathematics |
| spelling | Sewell, Granville 1948- Verfasser (DE-588)1080329455 aut Computational methods of linear algebra Granville Sewell 2. ed. Hoboken, NJ Wiley-Interscience 2005 X, 268 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics Algèbre linéaire - Manuels d'enseignement supérieur Lineaire algebra gtt Numerieke wiskunde gtt Algebras, Linear Textbooks Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Programmierung (DE-588)4076370-5 gnd rswk-swf Computeralgebra (DE-588)4010449-7 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Computeralgebra (DE-588)4010449-7 s DE-604 Numerische Mathematik (DE-588)4042805-9 s Lineare Algebra (DE-588)4035811-2 s Numerisches Verfahren (DE-588)4128130-5 s Programmierung (DE-588)4076370-5 s 1\p DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013314532&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sewell, Granville 1948- Computational methods of linear algebra Algèbre linéaire - Manuels d'enseignement supérieur Lineaire algebra gtt Numerieke wiskunde gtt Algebras, Linear Textbooks Lineare Algebra (DE-588)4035811-2 gnd Numerische Mathematik (DE-588)4042805-9 gnd Programmierung (DE-588)4076370-5 gnd Computeralgebra (DE-588)4010449-7 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4042805-9 (DE-588)4076370-5 (DE-588)4010449-7 (DE-588)4128130-5 |
| title | Computational methods of linear algebra |
| title_auth | Computational methods of linear algebra |
| title_exact_search | Computational methods of linear algebra |
| title_full | Computational methods of linear algebra Granville Sewell |
| title_fullStr | Computational methods of linear algebra Granville Sewell |
| title_full_unstemmed | Computational methods of linear algebra Granville Sewell |
| title_short | Computational methods of linear algebra |
| title_sort | computational methods of linear algebra |
| topic | Algèbre linéaire - Manuels d'enseignement supérieur Lineaire algebra gtt Numerieke wiskunde gtt Algebras, Linear Textbooks Lineare Algebra (DE-588)4035811-2 gnd Numerische Mathematik (DE-588)4042805-9 gnd Programmierung (DE-588)4076370-5 gnd Computeralgebra (DE-588)4010449-7 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Algèbre linéaire - Manuels d'enseignement supérieur Lineaire algebra Numerieke wiskunde Algebras, Linear Textbooks Lineare Algebra Numerische Mathematik Programmierung Computeralgebra Numerisches Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013314532&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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