Verfügbarkeit: Matrix computations

Matrix computations:

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Bibliographische Detailangaben
Hauptverfasser:	Golub, Gene H. 1932-2007 (VerfasserIn), Van Loan, Charles F. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Baltimore u.a. Johns Hopkins Univ. Pr. 1991
Ausgabe:	2. ed., 3. print.
Schriftenreihe:	Johns Hopkins series in the mathematical sciences 3
Schlagworte:	Numerisches Verfahren Matrizenrechnung Matrix > Mathematik Datenverarbeitung Numerische Mathematik
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XIX, 642 S. graph. Darst.
ISBN:	0801837723 0801837391

Internformat

MARC


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Datensatz im Suchindex

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adam_text	MATRIX COMPUTATIONS SECOND EDITION GENE H. GOLUB DEPARTMENT OF COMPUTER SCIENCE STANFORD UNIVERSITY CHARLES F. VAN LOAN DEPARTMENT OF COMPUTER SCIENCE CORNELL UNIVERSITY THE JOHNS HOPKINS UNIVERSITY PRESS BALTIMORE AND LONDON CONTENTS PREFACE TO THE FIRST EDITION XI PREFACE TO THE SECOND EDITION XV USING THE BOOK XVII -L MATRIX MULTIPLICATION PROBLEMS 1 1.1 BASIC ALGORITHMS AND NOTATIONS 2 1.2 EXPLOITING STRUCTURE 16 1.3 BLOCK MATRICES AND ALGORITHMS 25 1.4 ASPECTS OF VECTOR PIPELINE COMPUTING 35 2T MATRIX ANALYSIS 49 2.1 BASIC IDEAS FROM LINEAR ALGEBRA 49 2.2 VECTOR NORMS 53 2.3 MATRIX NORMS 55 2.4 FINITE PRECISION MATRIX COMPUTATIONS 60 2.5 ORTHOGONALITY AND THE SVD 70 2.6 PROJECTIONS AND THE CS DECOMPOSITION 75 2.7 THE SENSITIVITY OF SQUARE LINEAR SYSTEMS 79 O GENERAL LINEAR SYSTEMS 86 3.1 TRIANGULAER SYSTEMS 86 3.2 COMPUTING THE LU FACTORIZATION 92 3.3 ROUNDOFF ANALYSIS OF GAUSSIAN ELIMINATION 104 3.4 PIVOTING 108 3.5 IMPROVING AND ESTIMATING ACCURACY 123 VN VIII CONTENTS 4 SPECIAL LINEAR SYSTEMS 133 4.1 THE LDM T AND LDL T FACTORIZATIONS 134 4.2 POSITIVE DEFINITE SYSTEMS 139 4.3 BANDED SYSTEMS 149 4.4 SYMMETRIE INDEFINITE SYSTEMS 159 4.5 BLOCK TRIDIAGONAL SYSTEMS 170 4.6 VANDERMONDE SYSTEMS 178 4.7 TOEPLITZ SYSTEMS 183 O ORTHOGONALIZATION AND LEAST SQUARES 193 5.1 HOUSEHOLDER AND GIVENS TRANSFORMATIONS 194 5.2 THE QR FACTORIZATION 211 5.3 THE FUELL RANK LEAST SQUARES PROBLEM 221 5.4 OTHER ORTHOGONAL FACTORIZATIONS 233 5.5 THE RANK DEFICIENT LEAST SQUARES PROBLEM 241 5.6 WEIGHTING AND ITERATIVE IMPROVEMENT 250 5.7 A NOTE ON SQUARE AND UNDERDETERMINED SYSTEMS 256 6 PARALLEL MATRIX COMPUTATIONS 260 6.1 DISTRIBUTED MEMORY GAXPY 261 6.2 SHARED MEMORY GAXPY 276 6.3 PARALLEL MATRIX MULTIPLICATION 288 6.4 RING FACTORIZATION PROCEDURES 301 6.5 MESH FACTORIZATION PROCEDURES 310 6.6 SHARED MEMORY FACTORIZATION METHODS 321 I THE UNSYMMETRIC EIGENVALUE PROBLEM 331 7.1 PROPERTIES AND DECOMPOSITIONS 332 7.2 PERTURBATION THEORY 341 7.3 POWER ITERATIONS 351 7.4 HESSENBERG AND REAL SCHUR FORMS 361 7.5 THE PRACTICAL QR ALGORITHM 373 7.6 INVARIANT SUBSPACE COMPUTATIONS 382 7.7 THE QZ METHOD FOR AX = A BX 394 O THE SYMMETRIE EIGENVALUE PROBLEM 409 8.1 PROPERTIES, DECOMPOSITIONS, PERTURBATION THEORY 410 8.2 THE SYMMETRIE QR ALGORITHM 418 8.3 COMPUTING THE SVD 427 8.4 SOME SPECIAL METHODS 437 CONTENTS IX 8.5 JACOBI METHODS 444 8.6 A DIVIDE AND CONQUER METHOD 459 8.7 MORE GENERALIZED EIGENVALUE PROBLEMS 466 TJ LANCZOS METHODS 475 9.1 DERIVATION AND CONVERGENCE PROPERTIES 476 9.2 PRACTICAL LANCZOS PROCEDURES 484 9.3 APPLICATIONS AND EXTENSIONS 494 10 ITERATIVE METHODS FOR LINEAR SYSTEMS 505 10.1 THE STANDARD ITERATIONS 506 10.2 THE CONJUGATE GRADIENT METHOD 516 10.3 PRECONDITIONED CONJUGATE GRADIENT METHODS 527 11 FUNCTIONS OF MATRICES 539 11.1 EIGENVALUE METHODS 540 11.2 APPROXIMATION METHODS 546 11.3 THE MATRIX EXPONENTIAL 555 1 2 SPECIAL TOPICS 561 12.1 SOME CONSTRAINED LEAST SQUARES PROBLEMS 561 12.2 SUBSET SELECTION USING THE SVD 571 12.3 TOTAL LEAST SQUARES 576 12.4 COMPARING SUBSPACES USING THE SVD 581 12.5 SOME MODIFIED EIGENVALUE PROBLEMS 587 12.6 UPDATING THE QR FACTORIZATION 592 BIBLIOGRAPHY 601 INDEX 635
any_adam_object	1
author	Golub, Gene H. 1932-2007 Van Loan, Charles F.
author_GND	(DE-588)120319713
author_facet	Golub, Gene H. 1932-2007 Van Loan, Charles F.
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dewey-full	512.9434
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	512 - Algebra
dewey-raw	512.9 434
dewey-search	512.9 434
dewey-sort	3512.9 3434
dewey-tens	510 - Mathematics
discipline	Mathematik Wirtschaftswissenschaften
edition	2. ed., 3. print.
format	Book
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series	Johns Hopkins series in the mathematical sciences
series2	Johns Hopkins series in the mathematical sciences
spelling	Golub, Gene H. 1932-2007 Verfasser (DE-588)120319713 aut Matrix computations Gene H. Golub ; Charles F. VanLoan 2. ed., 3. print. Baltimore u.a. Johns Hopkins Univ. Pr. 1991 XIX, 642 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Johns Hopkins series in the mathematical sciences 3 Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Matrizenrechnung (DE-588)4126963-9 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Datenverarbeitung (DE-588)4011152-0 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 s Datenverarbeitung (DE-588)4011152-0 s DE-604 Numerische Mathematik (DE-588)4042805-9 s 1\p DE-604 Matrizenrechnung (DE-588)4126963-9 s Numerisches Verfahren (DE-588)4128130-5 s 2\p DE-604 Van Loan, Charles F. Verfasser aut Johns Hopkins series in the mathematical sciences 3 (DE-604)BV000016231 3 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004016436&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Golub, Gene H. 1932-2007 Van Loan, Charles F. Matrix computations Johns Hopkins series in the mathematical sciences Numerisches Verfahren (DE-588)4128130-5 gnd Matrizenrechnung (DE-588)4126963-9 gnd Matrix Mathematik (DE-588)4037968-1 gnd Datenverarbeitung (DE-588)4011152-0 gnd Numerische Mathematik (DE-588)4042805-9 gnd
subject_GND	(DE-588)4128130-5 (DE-588)4126963-9 (DE-588)4037968-1 (DE-588)4011152-0 (DE-588)4042805-9
title	Matrix computations
title_auth	Matrix computations
title_exact_search	Matrix computations
title_full	Matrix computations Gene H. Golub ; Charles F. VanLoan
title_fullStr	Matrix computations Gene H. Golub ; Charles F. VanLoan
title_full_unstemmed	Matrix computations Gene H. Golub ; Charles F. VanLoan
title_short	Matrix computations
title_sort	matrix computations
topic	Numerisches Verfahren (DE-588)4128130-5 gnd Matrizenrechnung (DE-588)4126963-9 gnd Matrix Mathematik (DE-588)4037968-1 gnd Datenverarbeitung (DE-588)4011152-0 gnd Numerische Mathematik (DE-588)4042805-9 gnd
topic_facet	Numerisches Verfahren Matrizenrechnung Matrix Mathematik Datenverarbeitung Numerische Mathematik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004016436&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000016231
work_keys_str_mv	AT golubgeneh matrixcomputations AT vanloancharlesf matrixcomputations

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