Non-linear parametric optimization:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
1983
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 226 S. graph. Darst. |
| ISBN: | 3764313757 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
1. General Introduction 11
2. Basic Concepts and Definitions 18
2.1. Notation and Basic Concepts 18
2.2. Point to Set Mappings: Definitions and Elementary Properties 25
2.3. Continuous Selection Functions for Lower Semicontinuous Point to Set
Mappings 28
3. Point to Set Mappings with Given Structure 35
3.1. Continuity of Parametric Inequalities with Compactness or Constraint Quali¬
fications 35
3.2. Solution Sets of Special Parametric Systems of Inequalities Satisfying Con¬
vexity Conditions 43
3.3. Perturbations of the Eight Hand Sides under Convex Constraints 50
3.4. Solution Sets of Parametric Linear Systems of Inequalities with or without
Integer Conditions 54
4. Stability Considerations 59
4.1. Introduction 59
4.2. Relations between Continuity Properties of the Extreme Value Function and
the Optimal Set and Constraint Set Mappings 60
4.3. Convex Parametric Problems 65
4.4. Duality and Non Linear Optimization 77
4.5. Mixed Integer Quadratic Problems 81
5. Properties of Characteristic Parameter Sets for Special Classes of Optimiza¬
tion Problems 91
5.1. Introduction 91
5.2. Parametric Optimization Problems with Fixed Constraint Sets 96 .
5.3. Convex Quadratic Optimization Problems with Parameters in the Objective
Function and the Right Hand Sides of the Linear Constraints 107
5.4. Linear Complementarity Problems with Parameters in the Right Hand Sides
of the Constraints 119
5.5. Convex Quadratic Optimization Problems Having Parameters in the Linear
Part of the Objective Function and in the Right Hand Sides of the Con¬
straints 130
5.6. Linear Parametric Optimization Problems with Integer Conditions and Para¬
meters in the Objective Function and in the Right Hand Sides of the Linear
Constraints 145
6. On Procedures for Analysing Parametric Optimization Problems 154
6.1. Introduction 154
6.2. Two Procedures for Solving Parameter Dependent Linear Complementarity
Problems » 157
6.3. On the Approximative Calculation of Selection Functions for Non Linear
Parametric Optimization Problems with Differentiability Properties 167
10 Content
Appendix 187
A.I. Convex Polyhedral Cones and Associated Polar Cones 187
A.2. Certain Classes of Square Matrices and Their Interrelations 189
A.3. Various Results on the Solution Set of a Linear Complementarity Problem 189
A.4. Convex Quadratic Optimization Problems 192
A.5. Constraint Qualifications and Optimality Conditions for Non Linear Opti¬
mization Problems: Some Results 193
Bibliography 197
Main Statements in Relation to Stability of Special Classes of Parametric Optimization
Problems 227
Index 228
|
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| id | DE-604.BV003423661 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:59:43Z |
| institution | BVB |
| isbn | 3764313757 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002166445 |
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| physical | 226 S. graph. Darst. |
| psigel | TUB-nseb |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Birkhäuser |
| record_format | marc |
| spelling | Non-linear parametric optimization B. Bank ... Basel [u.a.] Birkhäuser 1983 226 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier optimisation mathématique inriac optimisation non linéaire inriac optimisation paramètre inriac Mathematical optimization (DE-588)4016928-5 Festschrift gnd-content Bank, Bernd Sonstige oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002166445&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Non-linear parametric optimization optimisation mathématique inriac optimisation non linéaire inriac optimisation paramètre inriac Mathematical optimization |
| subject_GND | (DE-588)4016928-5 |
| title | Non-linear parametric optimization |
| title_auth | Non-linear parametric optimization |
| title_exact_search | Non-linear parametric optimization |
| title_full | Non-linear parametric optimization B. Bank ... |
| title_fullStr | Non-linear parametric optimization B. Bank ... |
| title_full_unstemmed | Non-linear parametric optimization B. Bank ... |
| title_short | Non-linear parametric optimization |
| title_sort | non linear parametric optimization |
| topic | optimisation mathématique inriac optimisation non linéaire inriac optimisation paramètre inriac Mathematical optimization |
| topic_facet | optimisation mathématique optimisation non linéaire optimisation paramètre Mathematical optimization Festschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002166445&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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