Holdings: Interval analysis :: THWS Bibkatalog

Interval analysis: and automatic result verification

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Bibliographic Details
Main Author:	Mayer, Günter 1951- (Author)
Format:	Book
Language:	English
Published:	Berlin/Boston De Gruyter [2017]
Series:	De Gruyter studies in mathematics Volume 65
Subjects:	Intervallalgebra Richtigkeit von Ergebnissen
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverzeichnis Seite 483-498
Physical Description:	xiii, 516 Seiten Diagramme
ISBN:	9783110500639 9783110499476 3110500639

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adam_text	CONTENTS PREFACE 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 3 3.1 3.2 3.3 4 4.1 4.2 4.3 5 5.1 5.2 5.3 5.4 5.5 ---- VII PRELIMINARIES - 1 NOTATIONS AND BASIC DEFINITIONS - 1 METRIC SPACES - 2 NORMED LINEAR SPACES - 7 POLYNOMIALS - 12 ZEROS AND FIXED POINTS OF FUNCTIONS - MEAN VALUE THEOREMS - 28 NORMAL FORMS OF MATRICES - 29 EIGENVALUES - 36 NONNEGATIVE MATRICES - 56 PARTICULAR MATRICES - 65 REAL INTERVALS - 75 INTERVALS, PARTIAL ORDERING - 75 INTERVAL ARITHMETIC - 77 ALGEBRAIC PROPERTIES, X FUNCTION - 80 AUXILIARY FUNCTIONS - 88 DISTANCE AND TOPOLOGY - 93 ELEMENTARY INTERVAL FUNCTIONS - 97 MACHINE INTERVAL ARITHMETIC - 99 INTERVAL VECTORS, INTERVAL MATRICES - 109 BASICS - 109 POWERS OF INTERVAL MATRICES - 114 PARTICULAR INTERVAL MATRICES - 121 EXPRESSIONS, P-CONTRACTION, E-INFLATION - EXPRESSIONS, RANGE - 125 P-CONTRACTION - 139 E-INFLATION - 150 LINEAR SYSTEMS OF EQUATIONS - 159 MOTIVATION - 159 SOLUTION SETS - 160 INTERVAL HULL - 177 DIRECT METHODS - 191 ITERATIVE METHODS - 239 6 NONLINEAR SYSTEMS OF EQUATIONS - 289 6.1 NEWTON METHOD - ONE-DIMENSIONAL CASE - 289 6.2 NEWTON METHOD - MULTIDIMENSIONAL CASE - 297 6.3 KRAWCZYK METHOD - 303 6.4 HANSEN-SENGUPTA METHOD - 320 6.5 FURTHER EXISTENCE TESTS - 325 6.6 BISECTION METHOD - 342 7 EIGENVALUE PROBLEMS - 345 7.1 QUADRATIC SYSTEMS - 346 7.2 A KRAWCZYK-LIKE METHOD - 349 7.3 LOHNER METHOD - 363 7.4 DOUBLE OR NEARLY DOUBLE EIGENVALUES - 371 7.5 THE GENERALIZED EIGENVALUE PROBLEM - 379 7.6 A METHOD DUE TO BEHNKE - 382 7.7 VERIFICATION OF SINGULAR VALUES - 393 7.8 AN INVERSE EIGENVALUE PROBLEM - 398 8 AUTOMATIC DIFFERENTIATION - 407 8.1 FORWARD MODE - 407 8.2 BACKWARD MODE - 413 9 COMPLEX INTERVALS - 417 9.1 RECTANGULAR COMPLEX INTERVALS - 418 9.2 CIRCULAR COMPLEX INTERVALS - 423 9.3 APPLICATIONS OF COMPLEX INTERVALS - 429 FINAL REMARKS - 433 APPENDIX A JORDAN NORMAL FORM - 437 B BROUWER'S FIXED POINT THEOREM - 439 C THEOREM OF NEWTON-KANTOROVICH - 445 D THE ROW CYCLIC JACOBI METHOD - 451 F THE SYMMETRIC SOLUTION SET - 463 G INTUB ---- 469 BIBLIOGRAPHY - 483 SYMBOL INDEX - 499 AUTHOR INDEX - 505 SUBJECT INDEX - 509
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author	Mayer, Günter 1951-
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spelling	Mayer, Günter 1951- Verfasser (DE-588)13177509X aut Interval analysis and automatic result verification Günter Mayer Berlin/Boston De Gruyter [2017] © 2017 xiii, 516 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematics Volume 65 Literaturverzeichnis Seite 483-498 Intervallalgebra (DE-588)4139152-4 gnd rswk-swf Richtigkeit von Ergebnissen (DE-588)4127444-1 gnd rswk-swf Intervallalgebra (DE-588)4139152-4 s Richtigkeit von Ergebnissen (DE-588)4127444-1 s DE-604 Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, PDF 978-3-11-049946-9 Erscheint auch als Online-Ausgabe, ePUB 978-3-11-049805-9 De Gruyter studies in mathematics Volume 65 (DE-604)BV000005407 65 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029723801&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Mayer, Günter 1951- Interval analysis and automatic result verification De Gruyter studies in mathematics Intervallalgebra (DE-588)4139152-4 gnd Richtigkeit von Ergebnissen (DE-588)4127444-1 gnd
subject_GND	(DE-588)4139152-4 (DE-588)4127444-1
title	Interval analysis and automatic result verification
title_auth	Interval analysis and automatic result verification
title_exact_search	Interval analysis and automatic result verification
title_full	Interval analysis and automatic result verification Günter Mayer
title_fullStr	Interval analysis and automatic result verification Günter Mayer
title_full_unstemmed	Interval analysis and automatic result verification Günter Mayer
title_short	Interval analysis
title_sort	interval analysis and automatic result verification
title_sub	and automatic result verification
topic	Intervallalgebra (DE-588)4139152-4 gnd Richtigkeit von Ergebnissen (DE-588)4127444-1 gnd
topic_facet	Intervallalgebra Richtigkeit von Ergebnissen
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029723801&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000005407
work_keys_str_mv	AT mayergunter intervalanalysisandautomaticresultverification AT walterdegruytergmbhcokg intervalanalysisandautomaticresultverification

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