Trust-region methods:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
2000
|
| Schriftenreihe: | MPS-SIAM series on optimization
1 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (p. 813-934) and index Preface -- 1. Introduction -- Part I. Preliminaries -- 2. Basic concepts -- 3. Basic analysis and optimality conditions -- 4. Basic linear algebra -- 5. Krylov subspace methods -- Part II. Trust-region methods for unconstrained optimization -- 6. Global convergence of the basic algorithm -- 7. The trust-region subproblem -- 8. Further convergence theory issues -- 9. Conditional models -- 10. Algorithmic extensions -- 11. Nonsmooth problems -- Part III. Trust-region methods for constrained optimization with convex constraints -- 12. Projection methods for convex constraints -- 13. Barrier methods for inequality constraints -- Part IV. Trust-region methods for general constrained optimization and systems of nonlinear equations -- 14. Penalty-function methods -- 15. Sequential quadratic programming methods -- 16. Nonlinear equations and nonlinear fitting -- Part V. Final considerations -- 17. Practicalities -- Afterword -- Appendix. A summary of assumptions -- Annotated bibliography -- Subject and notation index -- Author index This is the first comprehensive reference on trust-region methods, a class of numerical algorithms for the solution of nonlinear convex optimization methods. Its unified treatment covers both unconstrained and constrained problems and reviews a large part of the specialized literature on the subject. It also provides an up-to-date view of numerical optimization |
| Beschreibung: | 1 Online-Ressource (xix, 959 Seiten) |
| ISBN: | 9780898714609 0898714605 |
| DOI: | 10.1137/1.9780898719857 |
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| 245 | 1 | 0 | |a Trust-region methods |c Andrew R. Conn, Nicholas I.M. Gould, Philippe L. Toint |
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| 490 | 1 | |a MPS-SIAM series on optimization |v 1 | |
| 500 | |a Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader | ||
| 500 | |a Includes bibliographical references (p. 813-934) and index | ||
| 500 | |a Preface -- 1. Introduction -- Part I. Preliminaries -- 2. Basic concepts -- 3. Basic analysis and optimality conditions -- 4. Basic linear algebra -- 5. Krylov subspace methods -- Part II. Trust-region methods for unconstrained optimization -- 6. Global convergence of the basic algorithm -- 7. The trust-region subproblem -- 8. Further convergence theory issues -- 9. Conditional models -- 10. Algorithmic extensions -- 11. Nonsmooth problems -- Part III. Trust-region methods for constrained optimization with convex constraints -- 12. Projection methods for convex constraints -- 13. Barrier methods for inequality constraints -- Part IV. Trust-region methods for general constrained optimization and systems of nonlinear equations -- 14. Penalty-function methods -- 15. Sequential quadratic programming methods -- 16. Nonlinear equations and nonlinear fitting -- Part V. Final considerations -- 17. Practicalities -- Afterword -- Appendix. A summary of assumptions -- Annotated bibliography -- Subject and notation index -- Author index | ||
| 500 | |a This is the first comprehensive reference on trust-region methods, a class of numerical algorithms for the solution of nonlinear convex optimization methods. Its unified treatment covers both unconstrained and constrained problems and reviews a large part of the specialized literature on the subject. It also provides an up-to-date view of numerical optimization | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Conn, Andrew R. Gould, Nicholas I. M. 1957- Toint, Philippe L. |
| author_GND | (DE-588)137771479 (DE-588)135818508 (DE-588)113099193 |
| author_facet | Conn, Andrew R. Gould, Nicholas I. M. 1957- Toint, Philippe L. |
| author_role | aut aut aut |
| author_sort | Conn, Andrew R. |
| author_variant | a r c ar arc n i m g nim nimg p l t pl plt |
| building | Verbundindex |
| bvnumber | BV039747140 |
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| collection | ZDB-72-SIA |
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| discipline | Mathematik |
| doi_str_mv | 10.1137/1.9780898719857 |
| format | Electronic eBook |
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| id | DE-604.BV039747140 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| isbn | 9780898714609 0898714605 |
| language | English |
| lccn | 00038796 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024594670 |
| oclc_num | 873886164 |
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| owner | DE-91 DE-BY-TUM DE-29 DE-706 DE-83 DE-20 |
| owner_facet | DE-91 DE-BY-TUM DE-29 DE-706 DE-83 DE-20 |
| physical | 1 Online-Ressource (xix, 959 Seiten) |
| psigel | ZDB-72-SIA |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
| record_format | marc |
| series | MPS-SIAM series on optimization |
| series2 | MPS-SIAM series on optimization |
| spelling | Conn, Andrew R. (DE-588)137771479 aut Trust-region methods Andrew R. Conn, Nicholas I.M. Gould, Philippe L. Toint Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 2000 1 Online-Ressource (xix, 959 Seiten) txt rdacontent c rdamedia cr rdacarrier MPS-SIAM series on optimization 1 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (p. 813-934) and index Preface -- 1. Introduction -- Part I. Preliminaries -- 2. Basic concepts -- 3. Basic analysis and optimality conditions -- 4. Basic linear algebra -- 5. Krylov subspace methods -- Part II. Trust-region methods for unconstrained optimization -- 6. Global convergence of the basic algorithm -- 7. The trust-region subproblem -- 8. Further convergence theory issues -- 9. Conditional models -- 10. Algorithmic extensions -- 11. Nonsmooth problems -- Part III. Trust-region methods for constrained optimization with convex constraints -- 12. Projection methods for convex constraints -- 13. Barrier methods for inequality constraints -- Part IV. Trust-region methods for general constrained optimization and systems of nonlinear equations -- 14. Penalty-function methods -- 15. Sequential quadratic programming methods -- 16. Nonlinear equations and nonlinear fitting -- Part V. Final considerations -- 17. Practicalities -- Afterword -- Appendix. A summary of assumptions -- Annotated bibliography -- Subject and notation index -- Author index This is the first comprehensive reference on trust-region methods, a class of numerical algorithms for the solution of nonlinear convex optimization methods. Its unified treatment covers both unconstrained and constrained problems and reviews a large part of the specialized literature on the subject. It also provides an up-to-date view of numerical optimization Mathematical optimization Trust-Region-Algorithmus (DE-588)4311403-9 gnd rswk-swf Lineare Optimierung (DE-588)4035816-1 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Trust-Region-Algorithmus (DE-588)4311403-9 s DE-604 Lineare Optimierung (DE-588)4035816-1 s Optimierung (DE-588)4043664-0 s 1\p DE-604 Gould, Nicholas I. M. 1957- (DE-588)135818508 aut Toint, Philippe L. (DE-588)113099193 aut Erscheint auch als Druckausgabe 0898714605 Erscheint auch als Druckausgabe 9780898714609 MPS-SIAM series on optimization 1 (DE-604)BV046333754 1 https://doi.org/10.1137/1.9780898719857 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Conn, Andrew R. Gould, Nicholas I. M. 1957- Toint, Philippe L. Trust-region methods MPS-SIAM series on optimization Mathematical optimization Trust-Region-Algorithmus (DE-588)4311403-9 gnd Lineare Optimierung (DE-588)4035816-1 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4311403-9 (DE-588)4035816-1 (DE-588)4043664-0 |
| title | Trust-region methods |
| title_auth | Trust-region methods |
| title_exact_search | Trust-region methods |
| title_full | Trust-region methods Andrew R. Conn, Nicholas I.M. Gould, Philippe L. Toint |
| title_fullStr | Trust-region methods Andrew R. Conn, Nicholas I.M. Gould, Philippe L. Toint |
| title_full_unstemmed | Trust-region methods Andrew R. Conn, Nicholas I.M. Gould, Philippe L. Toint |
| title_short | Trust-region methods |
| title_sort | trust region methods |
| topic | Mathematical optimization Trust-Region-Algorithmus (DE-588)4311403-9 gnd Lineare Optimierung (DE-588)4035816-1 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Mathematical optimization Trust-Region-Algorithmus Lineare Optimierung Optimierung |
| url | https://doi.org/10.1137/1.9780898719857 |
| volume_link | (DE-604)BV046333754 |
| work_keys_str_mv | AT connandrewr trustregionmethods AT gouldnicholasim trustregionmethods AT tointphilippel trustregionmethods |