Nonhomogenous matrix products:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
River Edge, NJ <<[u.a.]>>
World Scientific
2002
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XI, 224 S. graph. Darst. |
ISBN: | 9810246285 |
Internformat
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Datensatz im Suchindex
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adam_text | NONHOMOGENEOUS MATRIX PRODUCTS DARALD J. HARTFIEL DEPARTMENT OF
MATHEMATICS TEXAS A&M UNIVERSITY, USA WORLD SCIENTIFIC NEW JERSEY LONDON
* SINGAPORE * HONG KONG CONTENTS PREFACE V 1 INTRODUCTION 1 2
FUNCTIONALS 5 2.1 PROJECTIVE AND HAUSDORFF METRICS 5 2.1.1 PROJECTIVE
METRIC 5 2.1.2 HAUSDORFF METRIC 14 2.2 CONTRACTION COEFFICIENTS 18 2.2.1
BIRKHOFF CONTRACTION COEFFICIENT 19 2.2.2 SUBSPACE CONTRACTION
COEFFICIENT 27 2.2.3 BLOCKING 32 2.3 MEASURES OF IRREDUCIBILITY AND FULL
INDECOMPOSABILITY ... 33 2.4 SPECTRAL RADIUS 38 2.5 RESEARCH NOTES 42 3
SEMIGROUPS OF MATRICES 45 3.1 LIMITING SETS 46 3.1.1 ALGEBRAIC
PROPERTIES 46 3.1.2 CONVERGENCE PROPERTIES 49 3.2 BOUNDED SEMIGROUPS 54
VIII CONTENTS 3.3 RESEARCH NOTES 58 4 PATTERNED MATRICES 59 4.1
SCRAMBLING MATRICES 59 4.2 SARYMSAKOV MATRICES 64 4.3 RESEARCH NOTES 68
5 ERGODICITY 71 5.1 BIRKHOFF COEFFICIENT RESULTS 71 5.2 DIRECT RESULTS
78 5.3 RESEARCH NOTES 85 6 CONVERGENCE 87 6.1 REDUCED MATRICES 87 6.2
CONVERGENCE TO 0 91 6.3 RESULTS ON U(U K + A K ) 98 6.4 JOINT
EIGENSPACES 103 6.5 RESEARCH NOTES 105 7 CONTINUOUS CONVERGENCE 107 7.1
SEQUENCE SPACES AND CONVERGENCE 107 7.2 CANONICAL FORMS 110 7.3
COEFFICIENTS AND CONTINUOUS CONVERGENCE 114 7.4 RESEARCH NOTES 116 8
PARACONTRACTING 117 8.1 CONVERGENCE 118 8.2 TYPES OF TRAJECTORIES 122
8.3 RESEARCH NOTES 130 9 SET CONVERGENCE 133 9.1 BOUNDED SEMIGROUPS 133
9.2 CONTRACTION COEFFICIENT RESULTS 136 9.2.1 BIRKHOFF COEFFICIENT
RESULTS 136 9.2.2 SUBSPACE COEFFICIENT RESULTS 138 9.3 CONVEXITY IN
CONVERGENCE 139 9.4 RESEARCH NOTES 142 10 PERTURBATIONS IN MATRIX SETS
143 10.1 SUBSPACE COEFFICIENT RESULTS 143 10.2 BIRKHOFF COEFFICIENT
RESULTS 145 10.3 RESEARCH NOTES 150 CONTENTS IX 11 GRAPHICS 151 11.1
MAPS 151 11.2 GRAPHING CURVES 152 11.3 GRAPHING FRACTALS 157 11.4
RESEARCH NOTES 162 11.5 MATLAB CODES 163 12 SLOWLY VARYING PRODUCTS 167
12.1 CONVERGENCE TO 0 167 12.2 ESTIMATES OF X K FROM CURRENT MATRICES
174 12.3 STATE ESTIMATES FROM FLUCTUATING MATRICES 179 12.3.1
FLUCTUATIONS 180 12.3.2 NORMALIZED TRAJECTORIES 182 12.3.3 FLUCTUATION
SET 183 12.4 QUOTIENT SPACES 187 12.4.1 MORMON. R N /W 188 12.4.2
MATRICES IN R N /W 190 12.4.3 BEHAVIOR OF TRAJECTORIES 193 12.5 RESEARCH
NOTES 198 13 SYSTEMS 199 13.1 PROJECTIVE MAPS 199 13.2 DEMOGRAPHIC
PROBLEMS 201 13.3 BUSINESS, MAN POWER, PRODUCTION SYSTEMS 204 13.4
RESEARCH NOTES * . . . . 211 13.5 MATLAB CODES 212 APPENDIX 215
BIBLIOGRAPHY 217 INDEX 223
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any_adam_object | 1 |
author | Hartfiel, Darald J. 1939- |
author_GND | (DE-588)120279355 |
author_facet | Hartfiel, Darald J. 1939- |
author_role | aut |
author_sort | Hartfiel, Darald J. 1939- |
author_variant | d j h dj djh |
building | Verbundindex |
bvnumber | BV024503963 |
ctrlnum | (OCoLC)247895330 (DE-599)BVBBV024503963 |
dewey-full | 512.943421 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.9434 21 |
dewey-search | 512.9434 21 |
dewey-sort | 3512.9434 221 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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illustrated | Illustrated |
indexdate | 2024-07-09T22:00:59Z |
institution | BVB |
isbn | 9810246285 |
language | English |
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owner | DE-83 |
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physical | XI, 224 S. graph. Darst. |
publishDate | 2002 |
publishDateSearch | 2002 |
publishDateSort | 2002 |
publisher | World Scientific |
record_format | marc |
spelling | Hartfiel, Darald J. 1939- Verfasser (DE-588)120279355 aut Nonhomogenous matrix products Darald J. Hartfiel River Edge, NJ <<[u.a.]>> World Scientific 2002 XI, 224 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Matrizen-Halbgruppe (DE-588)4416642-4 gnd rswk-swf Matrizenrechnung (DE-588)4126963-9 gnd rswk-swf Matrizenrechnung (DE-588)4126963-9 s DE-604 Matrizen-Halbgruppe (DE-588)4416642-4 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018478576&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Hartfiel, Darald J. 1939- Nonhomogenous matrix products Matrizen-Halbgruppe (DE-588)4416642-4 gnd Matrizenrechnung (DE-588)4126963-9 gnd |
subject_GND | (DE-588)4416642-4 (DE-588)4126963-9 |
title | Nonhomogenous matrix products |
title_auth | Nonhomogenous matrix products |
title_exact_search | Nonhomogenous matrix products |
title_full | Nonhomogenous matrix products Darald J. Hartfiel |
title_fullStr | Nonhomogenous matrix products Darald J. Hartfiel |
title_full_unstemmed | Nonhomogenous matrix products Darald J. Hartfiel |
title_short | Nonhomogenous matrix products |
title_sort | nonhomogenous matrix products |
topic | Matrizen-Halbgruppe (DE-588)4416642-4 gnd Matrizenrechnung (DE-588)4126963-9 gnd |
topic_facet | Matrizen-Halbgruppe Matrizenrechnung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018478576&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT hartfieldaraldj nonhomogenousmatrixproducts |