Theoretical and experimental investigation of the DARE (data reduction) method:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Karlsruhe
1993
|
| Series: | Universität <Karlsruhe> / Rechenzentrum: Interner Bericht
49 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Karlsruhe, Univ., Diplomarbeit, 1993 |
| Physical Description: | IV, 97 Bl. graph. Darst. |
Staff View
MARC
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| 100 | 1 | |a Böpple, Harold |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Theoretical and experimental investigation of the DARE (data reduction) method |c von Harold Böpple |
| 264 | 1 | |a Karlsruhe |c 1993 | |
| 300 | |a IV, 97 Bl. |b graph. Darst. | ||
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| 490 | 1 | |a Universität <Karlsruhe> / Rechenzentrum: Interner Bericht |v 49 | |
| 500 | |a Zugl.: Karlsruhe, Univ., Diplomarbeit, 1993 | ||
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Record in the Search Index
| _version_ | 1808137735825784832 |
|---|---|
| adam_text |
CONTENTS
PRELIMINARY
1
INTRODUCTION
.
1
NOTATION
.
2
1
PRECONDITIONED
GENERALIZED
CG
METHODS
4
1.1
DEFINITIONS
.
.
5
1.2
REPRESENTATION
OF
RESIDUALS
.
9
1.3
RELATIONS
BETWEEN
RESIDUALS
.
.
.
11
1.4
PRECONDITIONING
AND
CONVERGENCE
.
17
2
MULTILEVEL
PRECONDITIONING
BY
DARE
23
2.1
MOTIVATION
.
23
2.2
THE
ELIMINATION
PRINCIPLE
.
26
2.3
THE
REDUCTION
PROCEDURE
.
31
2.4
THE
LINEAR
SOLVERS
.
.
33
2.4.1
NORMALIZATION
.
33
2.4.2
THE
POLYALGORITHM
.
.
33
2.4.3
THE
PRECONDITIONING
CYCLE
.
;.
34
2.4.4
STOPPING
CRITERIA
FOR
THE
LEADING
SOLVER
.36
2.4.5
STOPPING
CRITERIA
FOR
THE
PRECONDITIONING
SOLVER
.
37
2.4.6
INTERDEPENDENCE
OF
TERMINATION
PARAMETERS
.39
2.4.7
EXPERIMENTS
WITH
VARIANT
STOPPING
CRITERIA
.
41
3
NUMERICAL
CONVERGENCE
43
3.1
PRESENTATION
OF
NUMERICAL
TESTS
.
44
3.1.1
A
SYMMETRIC
CASE
.
44
3.1.2
A
NONSYMMETRIC
CASE
.
54
3.1.3
TUNING
OF
PARAMETERS
.
;
.62
3.1.4
EXPERIMENTAL
TESTS
.
66
3.2
DISCUSSION
OF
RESULTS
.
66
3.2.1
RESULTS
OF
'
STANDARD
'
TESTS
.
66
3.2.2
RESULTS
OF
EXPERIMENTAL
TESTS
.
67
4
ASPECTS
OF
IMPLEMENTATION
69
4.1
AIM
AND
RESTRICTIONS
.69
4.2
STORAGE
REQUIREMENTS
AND
DATA
STRUCTURE
.
.
.
.
70
4.3
ALGORITHMIC
CONSIDERATIONS
.
74
4.3.1
A
DIGEST
OF
CONCEPTS
FOR
MATRIX
REDUCTION
.75
4.3.2
CHOICE
OF
CONCEPT
FOR
MATRIX
REDUCTION
.
.82
4.3.3
ALGORITHM
FOR
MVM
.83
4.3.4
OTHER
ALGORITHMS
.83
4.4
PROGRAM
VERIFICATION
AND
VALIDATION
.
84
4.4.1
VERIFICATION
OF
MATRIX
REDUCTION
.
84
4.4.2
TEST
OF
OTHER
MODULES
.88
4.4.3
INTEGRATION
TEST
.
88
4.5
COMPLEXITY
AND
PERFORMANCE
.
88
III
4.5.1
COMPLEXITY
.
.
.
.
.88
4.5.2
PERFORMANCE
.
89
(
RESUME
02
REFERENCES
94
IV |
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| series2 | Universität <Karlsruhe> / Rechenzentrum: Interner Bericht |
| spelling | Böpple, Harold Verfasser aut Theoretical and experimental investigation of the DARE (data reduction) method von Harold Böpple Karlsruhe 1993 IV, 97 Bl. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universität <Karlsruhe> / Rechenzentrum: Interner Bericht 49 Zugl.: Karlsruhe, Univ., Diplomarbeit, 1993 (DE-588)4113937-9 Hochschulschrift gnd-content Rechenzentrum: Interner Bericht Universität <Karlsruhe> 49 (DE-604)BV005621659 49 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007095239&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Böpple, Harold Theoretical and experimental investigation of the DARE (data reduction) method |
| subject_GND | (DE-588)4113937-9 |
| title | Theoretical and experimental investigation of the DARE (data reduction) method |
| title_auth | Theoretical and experimental investigation of the DARE (data reduction) method |
| title_exact_search | Theoretical and experimental investigation of the DARE (data reduction) method |
| title_full | Theoretical and experimental investigation of the DARE (data reduction) method von Harold Böpple |
| title_fullStr | Theoretical and experimental investigation of the DARE (data reduction) method von Harold Böpple |
| title_full_unstemmed | Theoretical and experimental investigation of the DARE (data reduction) method von Harold Böpple |
| title_short | Theoretical and experimental investigation of the DARE (data reduction) method |
| title_sort | theoretical and experimental investigation of the dare data reduction method |
| topic_facet | Hochschulschrift |
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