Verfügbarkeit: Linear dependence

Linear dependence: theory and computation

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Bibliographische Detailangaben
1. Verfasser:	Afriat, S. N. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New York [u.a.] Kluwer Acad./Plenum Publ. 2000
Schlagworte:	Linear dependence (Mathematics) Lineare Abhängigkeit
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XV, 175 S.
ISBN:	0306464284

Internformat

MARC


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Datensatz im Suchindex

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adam_text	LINEAR DEPENDENCE THEORY AND COMPUTATION S. N. AFRIAT UNIVERSITY OF SIENA SIENA, ITALY KLUWER ACADEMIC/PLENUM PUBLISHERS NEW YORK * BOSTON * DORDRECHT * LONDON * MOSCOW CONTENTS INTRODUCTION 3 CHAPTER 1 MATRICES 1.1 MATRICES AND VECTORS 9 1.2 SUBMATRICES 10 1.3 MATRIX OPERATIONS 12 1.4 ALGEBRA 15 1.5 VECTOR SPACE 17 CHAPTER 2 LINEAR SPACE 2.1 LINEAR SPACE ...23 2.2 SUBSPACES 23 2.3 SPAN 25 2.4 DIRECT SUM 26 2.5 FACTOR SPACE 29 2.6 DUAL SPACE 31 2.7 ANNIHILATORS 32 2.8 DIRECT PRODUCT 33 2.9 ALGEBRA OF SUBSPACES 34 2.10 AFFINE SPACE 36 CHAPTER 3 LINEAR DEPENDENCE 3.1 LINEAR DEPENDENCE 39 3.2 REPLACEMENT 41 3.3 RANK 43 3.4 ELEMENTARY OPERATIONS 44 CHAPTER 4 DIMENSION 4.1 BASE 46 4.2 DIMENSION 47 4.3 COORDINATES 49 4.4 DUAL BASE 51 4.5 ANNIHILATOR DIMENSION..... 52 4.6 AFFINE COORDINATES 53 LINEAR DEPENDENCE CHAPTER 5 REPLACEMENT 5.1 REPLACEMENT ALGORITHM 55 5.2 MATRIX RANK 58 5.3 BLOCK REPLACEMENT 60 5.4 EXTENDED TABLE 63 5.5 CONDENSED TABLE 64 CHAPTER 6 LINEAR EQUATIONS 6.1 MAXIMAL REPLACEMENT 67 6.2 GAUSSIAN ELIMINATION 71 6.3 RANK REDUCTION 73 6.4 ECHELON FORM... 77 6.5 PIVOTAL CONDENSATION : 78 6.6 TUCKER SCHEME 81 CHAPTER 7 DETERMINANTS 7.1 SOLUTION CHARACTERISTICS 89 7.2 DETERMINANTS 90 7.3 ADJOINT AND INVERSE 94 7.4 DERIVED SYSTEM 95 7.5 DOUBLE DETERMINANTS 97 7.6 ALTERNANTS 99 CHAPTER 8 DETERMINANTS AND MATRICES 8.1 PARTITIONED DETERMINANTS 104 8.2 PARTITIONED INVERSE 107 8.3 PRINCIPAL MINORS 110 CHAPTER 9 QUADRATIC FORMS 9.1 SYMMETRIC MATRICES ILL 9.2 QUADRATIC FORMS 112 9.3 DEFINITE FORMS 113 9.4 COMPLETING THE SQUARE 114 9.5 SEMIDEFINITE FORMS 116 9.6 LINEAR RESTRICTIONS 117 9.7 FINSLER S THEOREM 120 CONTENTS XI APPENDIX 1 PERMUTATIONS 127 2 COMBINATIONS 131 BASIC PROGRAMS 1 MAXIMAL REPLACEMENT 138 2 RANK REDUCTION 143 3 TUCKER S PIVOT ALGORITHM 144 4 EXTENDED RANK REDUCTION 150 5 PERMUTATIONS , 157 6 COMBINATIONS 160 BIBLIOGRAPHY 16 5 INDEX 171
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indexdate	2024-07-09T18:53:20Z
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isbn	0306464284
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spelling	Afriat, S. N. Verfasser aut Linear dependence theory and computation S. N. Afriat New York [u.a.] Kluwer Acad./Plenum Publ. 2000 XV, 175 S. txt rdacontent n rdamedia nc rdacarrier Linear dependence (Mathematics) Lineare Abhängigkeit (DE-588)4403103-8 gnd rswk-swf Lineare Abhängigkeit (DE-588)4403103-8 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009480992&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Afriat, S. N. Linear dependence theory and computation Linear dependence (Mathematics) Lineare Abhängigkeit (DE-588)4403103-8 gnd
subject_GND	(DE-588)4403103-8
title	Linear dependence theory and computation
title_auth	Linear dependence theory and computation
title_exact_search	Linear dependence theory and computation
title_full	Linear dependence theory and computation S. N. Afriat
title_fullStr	Linear dependence theory and computation S. N. Afriat
title_full_unstemmed	Linear dependence theory and computation S. N. Afriat
title_short	Linear dependence
title_sort	linear dependence theory and computation
title_sub	theory and computation
topic	Linear dependence (Mathematics) Lineare Abhängigkeit (DE-588)4403103-8 gnd
topic_facet	Linear dependence (Mathematics) Lineare Abhängigkeit
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009480992&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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