A course on optimization and best approximation:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York
Springer-Verlag
1972
|
| Schriftenreihe: | Lecture notes in mathematics
257 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001497752&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | VIII, 233 Seiten |
| ISBN: | 3540057641 0387057641 |
Internformat
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| 100 | 1 | |a Holmes, Richard B. |4 aut | |
| 245 | 1 | 0 | |a A course on optimization and best approximation |c Richard B. Holmes |
| 264 | 1 | |a Berlin ; Heidelberg ; New York |b Springer-Verlag |c 1972 | |
| 300 | |a VIII, 233 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 257 | |
| 650 | 4 | |a Approximation, Théorie de l' | |
| 650 | 7 | |a Matematica Da Computacao |2 larpcal | |
| 650 | 4 | |a Optimisation mathématique | |
| 650 | 7 | |a Programacao Matematica |2 larpcal | |
| 650 | 4 | |a Approximation theory | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Mathematical optimization | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-257 0831 MA.209 |
|---|---|
| DE-BY-TUM_katkey | 377004 |
| DE-BY-TUM_location | 01 LSB |
| DE-BY-TUM_media_number | 040020529984 TEMP3145388 |
| _version_ | 1821935785540059137 |
| adam_text | CONTENTS
Part I. Preliminaries 1
§1. Notation 1
§2. The Hahn Banach Theorem 2
§3. The Separation Theorems 4
§4. The Alaoglu Bourbaki Theorem 7
§5. The Krein Milman Theorem 8
Part 11. Theory of Optimization 14
§6. Convex Functions 14
§7. Directional Derivatives 16
§8. Subgradients 20
§9. Normal Cones 23
§10. Subdifferential Formulas 25
§11. Convex Programs 29
§12. Kuhn Tucker Theory 32
§13. Lagrange Multipliers 36
§14. Conjugate Functions 42
§15. Polarity 48
§16. Dubovitskii Milyutin Theory 51
§17. An Application 56
§18. Conjugate Functions and Subdifferentials 58
§19. Distance Functions 61
§20. The Fenchel Duality Theorem 65
§21. Some Applications 70
Part III. Theory of Best Approximation 76
§22. Characterization of Best Approximations 76
§23. Extremal Representations 81
§24. Application to Gaussian Quadrature 88
§25. Haar Subspaces 91
§26. Chebyshev Polynomials 98
§27. Rotundity 105
§28. Chebyshev Subspaces 109
§29. Algorithms for Best Approximation 118
§30. Proximinal Sets 123
VIII
Part IV. Comments on the Problems 128
Bibliography 138
Part V. Selected Special Topics 145
§31. E spaces 145
§32. Metric Projections 157
§33. Optimal Estimation 177
§34. Quasi Solutions 203
§35. Generalized Inverses 214
|
| any_adam_object | 1 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)889262450 (DE-599)BVBBV002279389 |
| dewey-full | 515/.7 510/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515/.7 510/.8 |
| dewey-search | 515/.7 510/.8 |
| dewey-sort | 3515 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002279389 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:48:47Z |
| institution | BVB |
| isbn | 3540057641 0387057641 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001497752 |
| oclc_num | 889262450 |
| open_access_boolean | |
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| physical | VIII, 233 Seiten |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Springer-Verlag |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spellingShingle | Holmes, Richard B. A course on optimization and best approximation Lecture notes in mathematics Approximation, Théorie de l' Matematica Da Computacao larpcal Optimisation mathématique Programacao Matematica larpcal Approximation theory Functional analysis Mathematical optimization Optimierung (DE-588)4043664-0 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4120913-8 |
| title | A course on optimization and best approximation |
| title_auth | A course on optimization and best approximation |
| title_exact_search | A course on optimization and best approximation |
| title_full | A course on optimization and best approximation Richard B. Holmes |
| title_fullStr | A course on optimization and best approximation Richard B. Holmes |
| title_full_unstemmed | A course on optimization and best approximation Richard B. Holmes |
| title_short | A course on optimization and best approximation |
| title_sort | a course on optimization and best approximation |
| topic | Approximation, Théorie de l' Matematica Da Computacao larpcal Optimisation mathématique Programacao Matematica larpcal Approximation theory Functional analysis Mathematical optimization Optimierung (DE-588)4043664-0 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| topic_facet | Approximation, Théorie de l' Matematica Da Computacao Optimisation mathématique Programacao Matematica Approximation theory Functional analysis Mathematical optimization Optimierung Approximationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001497752&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT holmesrichardb acourseonoptimizationandbestapproximation |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 999-257 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |
Handapparate (nicht verfügbar)
| Signatur: |
0831 MA.209 Lageplan |
|---|---|
| Exemplar 1 | Dauerhaft ausgeliehen Ausgeliehen |