The Newton Cauchy framework a unified approach to unconstrained nonlinear minimization
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| Format: | Buch |
| Sprache: | English |
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Berlin [u.a.]
Springer
1994
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| Schriftenreihe: | Lecture notes in computer science
769 |
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| Online-Zugang: | Inhaltsverzeichnis |
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MARC
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| 100 | 1 | |a Nazareth, John L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The Newton Cauchy framework |b a unified approach to unconstrained nonlinear minimization |c J. L. Nazareth |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1994 | |
| 300 | |a XII, 101 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in computer science |v 769 | |
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| 650 | 4 | |a Programmation non linéaire | |
| 650 | 7 | |a Programmation non linéaire |2 ram | |
| 650 | 7 | |a minimisation |2 inriac | |
| 650 | 7 | |a méthode Newton |2 inriac | |
| 650 | 7 | |a méthode gradient conjugué |2 inriac | |
| 650 | 7 | |a méthode quasi-Newton |2 inriac | |
| 650 | 7 | |a optimisation mathématique |2 inriac | |
| 650 | 7 | |a optimisation sans contrainte |2 inriac | |
| 650 | 7 | |a programmation mathématique |2 inriac | |
| 650 | 7 | |a équation non linéaire |2 inriac | |
| 650 | 4 | |a Mathematical optimization | |
| 650 | 4 | |a Nonlinear programming | |
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Datensatz im Suchindex
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| adam_text | Table of Contents
Chapter 1: Motivation 1
1. Introduction 1
2. Preliminaries 1
3. Conjugate Directions 5
4. The Conjugate Gradient Method 7
5. The Quasi Newton Relation 11
6. The Hereditary QN Property 11
7. Low Rank Updates to Satisfy the QN Relation 12
8. The Quasi Newton Method 17
9. Relationship between Procedures CG and QN/B 20
10. Preconditioned CG and QN/B Procedures 22
11. Concluding Remarks 24
Chapter 2: The Metric Based Cauchy Perspective 26
1. Introduction 26
2. Steepest Descent 26
3. The Cauchy Metric 27
4. The Davidon Variable Metric 29
5. The CG Metric 36
6. The Newton Metric 39
7. Notes 40
Chapter 3: The Model Based Newton Perspective 41
1. Introduction 41
2. The Newton Model 41
3. The Quasi Newton Model 49
4. The CG Related Model 51
5. The Cauchy Model 52
6. Notes 53
Chapter 4: The Newton Cauchy Framework 54
1. Newton Methods 55
2. Quasi Newton Methods 59
3. CG Related Methods 69
4. Cauchy Methods 73
xi
Chapter 5: Convergent Implementable Algorithms 75
1. Introduction 75
2. Convergence Conditions 75
3. Hierarchical Implementation of Optimization Methods 79
4. Notes 85
Chapter 6: Unconstrained Optimization Technology 86
1. Newton Technology 86
2. QN Technology 87
3. CG Technology 89
4. Cauchy Technology 90
Bibliography 91
xii
|
| any_adam_object | 1 |
| author | Nazareth, John L. |
| author_facet | Nazareth, John L. |
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| author_sort | Nazareth, John L. |
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| bvnumber | BV008428292 |
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| dewey-ones | 004 - Computer science |
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| dewey-search | 004/.01/51976 |
| dewey-sort | 14 11 551976 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-25T17:14:19Z |
| institution | BVB |
| isbn | 3540576711 0387576711 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005552594 |
| oclc_num | 246319863 |
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| physical | XII, 101 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in computer science |
| series2 | Lecture notes in computer science |
| spellingShingle | Nazareth, John L. The Newton Cauchy framework a unified approach to unconstrained nonlinear minimization Lecture notes in computer science Cauchy inriap Niet-lineaire programmering gtt Optimaliseren gtt Optimisation mathématique Optimization mathématique ram Programmation non linéaire Programmation non linéaire ram minimisation inriac méthode Newton inriac méthode gradient conjugué inriac méthode quasi-Newton inriac optimisation mathématique inriac optimisation sans contrainte inriac programmation mathématique inriac équation non linéaire inriac Mathematical optimization Nonlinear programming Numerisches Verfahren (DE-588)4128130-5 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4128192-5 |
| title | The Newton Cauchy framework a unified approach to unconstrained nonlinear minimization |
| title_auth | The Newton Cauchy framework a unified approach to unconstrained nonlinear minimization |
| title_exact_search | The Newton Cauchy framework a unified approach to unconstrained nonlinear minimization |
| title_full | The Newton Cauchy framework a unified approach to unconstrained nonlinear minimization J. L. Nazareth |
| title_fullStr | The Newton Cauchy framework a unified approach to unconstrained nonlinear minimization J. L. Nazareth |
| title_full_unstemmed | The Newton Cauchy framework a unified approach to unconstrained nonlinear minimization J. L. Nazareth |
| title_short | The Newton Cauchy framework |
| title_sort | the newton cauchy framework a unified approach to unconstrained nonlinear minimization |
| title_sub | a unified approach to unconstrained nonlinear minimization |
| topic | Cauchy inriap Niet-lineaire programmering gtt Optimaliseren gtt Optimisation mathématique Optimization mathématique ram Programmation non linéaire Programmation non linéaire ram minimisation inriac méthode Newton inriac méthode gradient conjugué inriac méthode quasi-Newton inriac optimisation mathématique inriac optimisation sans contrainte inriac programmation mathématique inriac équation non linéaire inriac Mathematical optimization Nonlinear programming Numerisches Verfahren (DE-588)4128130-5 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| topic_facet | Cauchy Niet-lineaire programmering Optimaliseren Optimisation mathématique Optimization mathématique Programmation non linéaire minimisation méthode Newton méthode gradient conjugué méthode quasi-Newton optimisation mathématique optimisation sans contrainte programmation mathématique équation non linéaire Mathematical optimization Nonlinear programming Numerisches Verfahren Nichtlineare Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005552594&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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