Holdings: Linear dependence :: THWS Bibkatalog

Linear dependence: theory and computation

Saved in:

Bibliographic Details
Main Author:	Afriat, S. N. (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] Kluwer Acad./Plenum Publ. 2000
Subjects:	Linear dependence (Mathematics) Lineare Abhängigkeit
Online Access:	Inhaltsverzeichnis
Physical Description:	XV, 175 S.
ISBN:	0306464284

Staff View

MARC


LEADER	00000nam a2200000 c 4500
001	BV013861702
003	DE-604
005	20030709
007	t
008	010809s2000 \|\|\|\| 00\|\|\| eng d
020			\|a 0306464284 \|9 0-306-46428-4
035			\|a (OCoLC)44090493
035			\|a (DE-599)BVBBV013861702
040			\|a DE-604 \|b ger \|e rakwb
041	0		\|a eng
049			\|a DE-703
050		0	\|a QA187
082	0		\|a 512/.5 \|2 21
084			\|a SK 220 \|0 (DE-625)143224: \|2 rvk
100	1		\|a Afriat, S. N. \|e Verfasser \|4 aut
245	1	0	\|a Linear dependence \|b theory and computation \|c S. N. Afriat
264		1	\|a New York [u.a.] \|b Kluwer Acad./Plenum Publ. \|c 2000
300			\|a XV, 175 S.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
650		4	\|a Linear dependence (Mathematics)
650	0	7	\|a Lineare Abhängigkeit \|0 (DE-588)4403103-8 \|2 gnd \|9 rswk-swf
689	0	0	\|a Lineare Abhängigkeit \|0 (DE-588)4403103-8 \|D s
689	0		\|5 DE-604
856	4	2	\|m GBV Datenaustausch \|q application/pdf \|u 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 \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-009480992

Record in the Search Index

_version_	1804128695668965376
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
any_adam_object	1
author	Afriat, S. N.
author_facet	Afriat, S. N.
author_role	aut
author_sort	Afriat, S. N.
author_variant	s n a sn sna
building	Verbundindex
bvnumber	BV013861702
callnumber-first	Q - Science
callnumber-label	QA187
callnumber-raw	QA187
callnumber-search	QA187
callnumber-sort	QA 3187
callnumber-subject	QA - Mathematics
classification_rvk	SK 220
ctrlnum	(OCoLC)44090493 (DE-599)BVBBV013861702
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	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01252nam a2200349 c 4500</leader><controlfield tag="001">BV013861702</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20030709 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">010809s2000 \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0306464284</subfield><subfield code="9">0-306-46428-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)44090493</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013861702</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA187</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.5</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 220</subfield><subfield code="0">(DE-625)143224:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Afriat, S. N.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Linear dependence</subfield><subfield code="b">theory and computation</subfield><subfield code="c">S. N. Afriat</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Kluwer Acad./Plenum Publ.</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 175 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Linear dependence (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lineare Abhängigkeit</subfield><subfield code="0">(DE-588)4403103-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Lineare Abhängigkeit</subfield><subfield code="0">(DE-588)4403103-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009480992</subfield></datafield></record></collection>
id	DE-604.BV013861702
illustrated	Not Illustrated
indexdate	2024-07-09T18:53:20Z
institution	BVB
isbn	0306464284
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-009480992
oclc_num	44090493
open_access_boolean
owner	DE-703
owner_facet	DE-703
physical	XV, 175 S.
publishDate	2000
publishDateSearch	2000
publishDateSort	2000
publisher	Kluwer Acad./Plenum Publ.
record_format	marc
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
work_keys_str_mv	AT afriatsn lineardependencetheoryandcomputation

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items