An introduction to unconstrained optimisation:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bristol u.a.
Hilger u.a.
1990
|
| Schriftenreihe: | A computer illustrated text
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 122 S. graph. Darst. |
| ISBN: | 0750300256 0750300264 0750300272 |
Internformat
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Datensatz im Suchindex
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| adam_text | IMAGE 1
A C O M P U T ER ILLUSTRATED TEXT
AN I N T R O D U C T I ON TO U N C O N S T R A I N ED O P T I M I S A T
I ON
J J MCKEOWN, D MEEGAN AND D SPREVAK DEPARTMENT OF ENGINEERING
MATHEMATICS, THE QUEEN S UNIVERSITY OF BELFAST
W BOOKS F AND SOFTWARE T ADAM HILGER, BRISTOL AND NEW YORK
ESM, CAMBRIDGE
IMAGE 2
CONTENTS
H SOFTWARE ORDER FORM I
PREFACE IX
1 GETTING STARTED 1
1.1 INSTALLING THE SOFTWARE 1
1.2 STARTING THE SOFTWARE 1
1.3 ACTIVATING PROGRAMS 1
2 SEARCHING FOR AN OPTIMUM 5
2.1 INTRODUCTION 5
2.2 CONTOURS OF FUNCTIONS OF TWO VARIABLES 13
2.3 DIRECTIONS ON THE CONTOUR MAP 15
2.4 DIRECTIONS TO THE OPTIMUM 18
2.5 SUMMARY 20
3 LINE SEARCHES 21
3.1 INTRODUCTION 21
3.2 OPTIMISATION OF FUNCTIONS OF ONE VARIABLE 21
3.3 SUMMARY 42
4 DIRECT SEARCH METHODS 44
4.1 INTRODUCTION 44
4.2 DIRECT SEARCH METHODS 44
4.3 SUMMARY 60
5 GRADIENT METHODS I 61
5.1 INTRODUCTION 61
5.2 THE FIRST DERIVATIVE VECTOR 61
5.3 THE STEEPEST DESCENT ALGORITHM 66
5.4 THE SECOND DERIVATIVE MATRIX 70
5.5 QUADRATIC FUNCTIONS 73
5.6 THE CONJUGATE GRADIENT ALGORITHM 75
VII
IMAGE 3
VLLL
CONTENTS
5.7 SUMMARY 81
G R A D I E NT METHODS II 83
6.1 INTRODUCTION 83
83 90 98 104
105 105 106 108
110 114 117
119
6.2 6.3 6.4 6.5
NEWTON S METHOD QUASI-NEWTON METHODS THE LEAST SQUARES PROBLEM SUMMARY
7 OPTIMISATION IN PRACTICE 7.1 7.2 7.3
7.4 7.5 7.6
INTRODUCTION ACCURACY OF THE SOLUTION ESTIMATION OF FIRST DERIVATIVES
GLOBAL OPTIMISATION
SELECTING AN OPTIMISATION METHOD SUMMARY
BIBLIOGRAPHY
I N D EX 121
|
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| dewey-full | 519.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.3 |
| dewey-search | 519.3 |
| dewey-sort | 3519.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| isbn | 0750300256 0750300264 0750300272 |
| language | English |
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| physical | IX, 122 S. graph. Darst. |
| publishDate | 1990 |
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| publisher | Hilger u.a. |
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| series2 | A computer illustrated text |
| spelling | McKeown, J. J. Verfasser (DE-588)154420530 aut An introduction to unconstrained optimisation J. J. McKeown, D. Meegan and D. Sprevak Bristol u.a. Hilger u.a. 1990 IX, 122 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier A computer illustrated text Mathematical optimization Numerical analysis Optimierung (DE-588)4043664-0 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Optimierung (DE-588)4043664-0 s DE-604 Meegan, D. Verfasser aut Sprevak, D. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002612374&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | McKeown, J. J. Meegan, D. Sprevak, D. An introduction to unconstrained optimisation Mathematical optimization Numerical analysis Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4151278-9 |
| title | An introduction to unconstrained optimisation |
| title_auth | An introduction to unconstrained optimisation |
| title_exact_search | An introduction to unconstrained optimisation |
| title_full | An introduction to unconstrained optimisation J. J. McKeown, D. Meegan and D. Sprevak |
| title_fullStr | An introduction to unconstrained optimisation J. J. McKeown, D. Meegan and D. Sprevak |
| title_full_unstemmed | An introduction to unconstrained optimisation J. J. McKeown, D. Meegan and D. Sprevak |
| title_short | An introduction to unconstrained optimisation |
| title_sort | an introduction to unconstrained optimisation |
| topic | Mathematical optimization Numerical analysis Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Mathematical optimization Numerical analysis Optimierung Einführung |
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