Structure and convergence of Jacobi type methods for matrix computations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | München, Techn. Univ., Diss., 1996 |
| Beschreibung: | X, 94 S. graph. Darst. |
Internformat
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| 264 | 1 | |c 1996 | |
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Datensatz im Suchindex
| _version_ | 1807320390865780736 |
|---|---|
| adam_text |
CONTENTS
EINLEITUNG
1
1
INTRODUCTION
6
2
DEFINITIONS
AND
CONCEPTS
11
3
CRITICAL
POINTS
OF
OBJECTIVE
FUNCTIONS
16
3.1
ISOSPECTRAL
MANIFOLDS
OF
SYMMETRIC
MATRICES
.
16
3.1.1
A
LINEAR
TRACE
FUNCTION
.
17
3.1.2
THE
OFF-NORM
FUNCTION
.
19
3.2
MANIFOLDS
OF
MATRICES
WITH
FIXED
SINGULAR
VALUES
.
23
3.2.1
LINEAR
TRACE
FUNCTIONS
.
27
3.3
ISOSPECTRAL
MANIFOLDS
OF
SKEW-SYMMETRIC
MATRICES
.
30
3.3.1
A
LINEAR
TRACE
FUNCTION
.
33
4
JACOBI-TYPE
METHODS
36
4.1
JACOBI-TYPE
ALGORITHMS
FOR
SYMMETRIC
MATRICES
.
36
4.2
JACOBI-TYPE
ALGORITHMS
FOR
RECTANGULAR
MATRICES
.
40
4.2.1
OPTIMIZATION
ALONG
CLOSED
GEODESICS
.
41
4.2.2
OPTIMIZATION
OVER
TWO-DIMENSIONAL
SUBSETS
.
42
4.3
JACOBI-TYPE
ALGORITHMS
FOR
SKEW-SYMMETRIC
MATRICES
.
44
4.3.1
OPTIMIZATION
OVER
FOUR-DIMENSIONAL
SUBSETS
.
45
5
ANALYSIS
OF
JACOBI-TYPE
ALGORITHMS
47
5.1
JACOBI-TYPE
METHODS
FOR
THE
SYMMETRIC
EIGENVALUE
PROBLEM
.
48
5.1.1
SORT-JACOBI
ALGORITHM
.
48
5.1.2
CONVENTIONAL
JACOBI-TYPE
METHODS
REDERIVED
.
53
5.1.3
DISCUSSION
.
56
5.2
JACOBI-TYPE
METHODS
FOR
SVD
.
58
5.2.1
SORT-JACOBI
(SORT-KOGBETLIANTZ)
FOR
SVD
.
59
5.2.2
CONVENTIONAL
JACOBI-TYPE
METHODS
FOR
SVD
.
68
5.3
SORT-JACOBI
FOR
SKEW-SYMMETRIC
MATRICES
.
69
CONTENTS
IX
6
COMPUTER
CODE
75
6.1
SORT-JACOBI
FOR
THE
SYMMETRIC
EIGENVALUE
PROBLEM
.
75
6.2
SVD
SORT-JACOBI
ALGORITHM
.
79
6.3
SORT-JACOBI
FOR
THE
SKEW-SYMMETRIC
EIGENVALUE
PROBLEM
.
83
7
NUMERICAL
EXAMPLES
AND
SIMULATIONS
86
8
CONCLUSIONS
AND
OUTLOOK
89 |
| any_adam_object | 1 |
| author | Hüper, Knut |
| author_GND | (DE-588)115420479 |
| author_facet | Hüper, Knut |
| author_role | aut |
| author_sort | Hüper, Knut |
| author_variant | k h kh |
| building | Verbundindex |
| bvnumber | BV011280008 |
| classification_tum | MAT 658d |
| ctrlnum | (OCoLC)258083220 (DE-599)BVBBV011280008 |
| discipline | Mathematik |
| format | Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV011280008 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T00:23:57Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007575428 |
| oclc_num | 258083220 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-29T DE-12 DE-83 DE-11 |
| owner_facet | DE-91 DE-BY-TUM DE-29T DE-12 DE-83 DE-11 |
| physical | X, 94 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| record_format | marc |
| spelling | Hüper, Knut Verfasser (DE-588)115420479 aut Structure and convergence of Jacobi type methods for matrix computations Knut Hüper Structure and convergence of Jacobi-type methods for matrix computations 1996 X, 94 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 1996 Vektor (DE-588)4202708-1 gnd rswk-swf Parallelverarbeitung (DE-588)4075860-6 gnd rswk-swf Jacobi-Verfahren (DE-588)4314623-5 gnd rswk-swf Spezielle orthogonale Gruppe (DE-588)4377392-8 gnd rswk-swf Konvergenz (DE-588)4032326-2 gnd rswk-swf Eigenwert (DE-588)4151200-5 gnd rswk-swf Globale Differentialgeometrie (DE-588)4021286-5 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Jacobi-Verfahren (DE-588)4314623-5 s Parallelverarbeitung (DE-588)4075860-6 s Spezielle orthogonale Gruppe (DE-588)4377392-8 s Globale Differentialgeometrie (DE-588)4021286-5 s DE-604 Eigenwert (DE-588)4151200-5 s 1\p DE-604 Konvergenz (DE-588)4032326-2 s 2\p DE-604 Algorithmus (DE-588)4001183-5 s 3\p DE-604 Vektor (DE-588)4202708-1 s 4\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007575428&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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hüper, Knut Structure and convergence of Jacobi type methods for matrix computations Vektor (DE-588)4202708-1 gnd Parallelverarbeitung (DE-588)4075860-6 gnd Jacobi-Verfahren (DE-588)4314623-5 gnd Spezielle orthogonale Gruppe (DE-588)4377392-8 gnd Konvergenz (DE-588)4032326-2 gnd Eigenwert (DE-588)4151200-5 gnd Globale Differentialgeometrie (DE-588)4021286-5 gnd Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4202708-1 (DE-588)4075860-6 (DE-588)4314623-5 (DE-588)4377392-8 (DE-588)4032326-2 (DE-588)4151200-5 (DE-588)4021286-5 (DE-588)4001183-5 (DE-588)4113937-9 |
| title | Structure and convergence of Jacobi type methods for matrix computations |
| title_alt | Structure and convergence of Jacobi-type methods for matrix computations |
| title_auth | Structure and convergence of Jacobi type methods for matrix computations |
| title_exact_search | Structure and convergence of Jacobi type methods for matrix computations |
| title_full | Structure and convergence of Jacobi type methods for matrix computations Knut Hüper |
| title_fullStr | Structure and convergence of Jacobi type methods for matrix computations Knut Hüper |
| title_full_unstemmed | Structure and convergence of Jacobi type methods for matrix computations Knut Hüper |
| title_short | Structure and convergence of Jacobi type methods for matrix computations |
| title_sort | structure and convergence of jacobi type methods for matrix computations |
| topic | Vektor (DE-588)4202708-1 gnd Parallelverarbeitung (DE-588)4075860-6 gnd Jacobi-Verfahren (DE-588)4314623-5 gnd Spezielle orthogonale Gruppe (DE-588)4377392-8 gnd Konvergenz (DE-588)4032326-2 gnd Eigenwert (DE-588)4151200-5 gnd Globale Differentialgeometrie (DE-588)4021286-5 gnd Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | Vektor Parallelverarbeitung Jacobi-Verfahren Spezielle orthogonale Gruppe Konvergenz Eigenwert Globale Differentialgeometrie Algorithmus Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007575428&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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