Self-regularity :: a new paradigm for primal-dual interior-point algorithms /
Research on interior-point methods (IPMs) has dominated the field of mathematical programming for the last two decades. Two contrasting approaches in the analysis and implementation of IPMs are the so-called small-update and large-update methods, although, until now, there has been a notorious gap b...
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| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J. ; Oxford :
Princeton University Press,
©2002.
|
| Schriftenreihe: | Princeton series in applied mathematics.
|
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Zusammenfassung: | Research on interior-point methods (IPMs) has dominated the field of mathematical programming for the last two decades. Two contrasting approaches in the analysis and implementation of IPMs are the so-called small-update and large-update methods, although, until now, there has been a notorious gap between the theory and practical performance of these two strategies. This book comes close to bridging that gap, presenting a new framework for the theory of primal-dual IPMs based on the notion of the self-regularity of a function. The authors deal with linear optimization, nonlinear complementarity. |
| Beschreibung: | 1 online resource (xiii, 185 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 175-181) and index. |
| ISBN: | 9781400825134 140082513X 1400814529 9781400814527 9780691091938 0691091935 9780691091921 0691091927 |
Internformat
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| 245 | 1 | 0 | |a Self-regularity : |b a new paradigm for primal-dual interior-point algorithms / |c Jiming Peng, Cornelis Roos, and Tamás Terlaky. |
| 260 | |a Princeton, N.J. ; |a Oxford : |b Princeton University Press, |c ©2002. | ||
| 300 | |a 1 online resource (xiii, 185 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references (pages 175-181) and index. | ||
| 505 | 0 | |a Preface; Acknowledgements; Notation; List of Abbreviations; Chapter 1. Introduction and Preliminaries; Chapter 2. Self-Regular Functions and Their Properties; Chapter 3. Primal-Dual Algorithms for Linear Optimization Based on Self-Regular Proximities; Chapter 4. Interior-Point Methods for Complementarity Problems Based on Self-Regular Proximities; Chapter 5. Primal-Dual Interior-Point Methods for Semidefinite Optimization Based on Self-Regular Proximities; Chapter 6. Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities. | |
| 520 | |a Research on interior-point methods (IPMs) has dominated the field of mathematical programming for the last two decades. Two contrasting approaches in the analysis and implementation of IPMs are the so-called small-update and large-update methods, although, until now, there has been a notorious gap between the theory and practical performance of these two strategies. This book comes close to bridging that gap, presenting a new framework for the theory of primal-dual IPMs based on the notion of the self-regularity of a function. The authors deal with linear optimization, nonlinear complementarity. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a In English. | ||
| 650 | 0 | |a Mathematical optimization. |0 http://id.loc.gov/authorities/subjects/sh85082127 | |
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| 650 | 0 | |a Programming (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85107312 | |
| 650 | 6 | |a Optimisation mathématique. | |
| 650 | 6 | |a Méthodes de points intérieurs. | |
| 650 | 6 | |a Programmation (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Optimization. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Applied. |2 bisacsh | |
| 650 | 7 | |a Interior-point methods |2 fast | |
| 650 | 7 | |a Mathematical optimization |2 fast | |
| 650 | 7 | |a Programming (Mathematics) |2 fast | |
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| 650 | 1 | 7 | |a Mathematische programmering. |2 gtt |
| 700 | 1 | |a Roos, Cornelis, |d 1941- |1 https://id.oclc.org/worldcat/entity/E39PBJpDQXyXyH9xXcJ8KWG4MP |0 http://id.loc.gov/authorities/names/n85829933 | |
| 700 | 1 | |a Terlaky, Tamás. |1 https://id.oclc.org/worldcat/entity/E39PBJh4xKvYy8QMFjdCKFCG73 |0 http://id.loc.gov/authorities/names/n88253681 | |
| 758 | |i has work: |a Self-regularity (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFDMwGPjRqWrJxKWFxKq73 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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| 830 | 0 | |a Princeton series in applied mathematics. |0 http://id.loc.gov/authorities/names/no2002046464 | |
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| adam_text | |
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| author | Peng, Jiming |
| author2 | Roos, Cornelis, 1941- Terlaky, Tamás |
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| author2_variant | c r cr t t tt |
| author_GND | http://id.loc.gov/authorities/names/nb2002012150 http://id.loc.gov/authorities/names/n85829933 http://id.loc.gov/authorities/names/n88253681 |
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| contents | Preface; Acknowledgements; Notation; List of Abbreviations; Chapter 1. Introduction and Preliminaries; Chapter 2. Self-Regular Functions and Their Properties; Chapter 3. Primal-Dual Algorithms for Linear Optimization Based on Self-Regular Proximities; Chapter 4. Interior-Point Methods for Complementarity Problems Based on Self-Regular Proximities; Chapter 5. Primal-Dual Interior-Point Methods for Semidefinite Optimization Based on Self-Regular Proximities; Chapter 6. Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities. |
| ctrlnum | (OCoLC)355680042 |
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| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.6 |
| dewey-search | 519.6 |
| dewey-sort | 3519.6 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn355680042 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:46Z |
| institution | BVB |
| isbn | 9781400825134 140082513X 1400814529 9781400814527 9780691091938 0691091935 9780691091921 0691091927 |
| language | English |
| oclc_num | 355680042 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 185 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Princeton University Press, |
| record_format | marc |
| series | Princeton series in applied mathematics. |
| series2 | Princeton series in applied mathematics |
| spelling | Peng, Jiming. https://id.oclc.org/worldcat/entity/E39PBJj4tkbXmr8dC4QPbCT4MP http://id.loc.gov/authorities/names/nb2002012150 Self-regularity : a new paradigm for primal-dual interior-point algorithms / Jiming Peng, Cornelis Roos, and Tamás Terlaky. Princeton, N.J. ; Oxford : Princeton University Press, ©2002. 1 online resource (xiii, 185 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Princeton series in applied mathematics Includes bibliographical references (pages 175-181) and index. Preface; Acknowledgements; Notation; List of Abbreviations; Chapter 1. Introduction and Preliminaries; Chapter 2. Self-Regular Functions and Their Properties; Chapter 3. Primal-Dual Algorithms for Linear Optimization Based on Self-Regular Proximities; Chapter 4. Interior-Point Methods for Complementarity Problems Based on Self-Regular Proximities; Chapter 5. Primal-Dual Interior-Point Methods for Semidefinite Optimization Based on Self-Regular Proximities; Chapter 6. Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities. Research on interior-point methods (IPMs) has dominated the field of mathematical programming for the last two decades. Two contrasting approaches in the analysis and implementation of IPMs are the so-called small-update and large-update methods, although, until now, there has been a notorious gap between the theory and practical performance of these two strategies. This book comes close to bridging that gap, presenting a new framework for the theory of primal-dual IPMs based on the notion of the self-regularity of a function. The authors deal with linear optimization, nonlinear complementarity. Print version record. In English. Mathematical optimization. http://id.loc.gov/authorities/subjects/sh85082127 Interior-point methods. http://id.loc.gov/authorities/subjects/sh2001008550 Programming (Mathematics) http://id.loc.gov/authorities/subjects/sh85107312 Optimisation mathématique. Méthodes de points intérieurs. Programmation (Mathématiques) MATHEMATICS Optimization. bisacsh MATHEMATICS Applied. bisacsh Interior-point methods fast Mathematical optimization fast Programming (Mathematics) fast Controleleer. gtt Zelfregulering. gtt Algoritmen. gtt Mathematische programmering. gtt Roos, Cornelis, 1941- https://id.oclc.org/worldcat/entity/E39PBJpDQXyXyH9xXcJ8KWG4MP http://id.loc.gov/authorities/names/n85829933 Terlaky, Tamás. https://id.oclc.org/worldcat/entity/E39PBJh4xKvYy8QMFjdCKFCG73 http://id.loc.gov/authorities/names/n88253681 has work: Self-regularity (Text) https://id.oclc.org/worldcat/entity/E39PCFDMwGPjRqWrJxKWFxKq73 https://id.oclc.org/worldcat/ontology/hasWork Print version: Peng, Jiming. Self-regularity. Princeton, N.J. ; Oxford : Princeton University Press, ©2002 0691091927 9780691091921 (DLC) 2004561103 (OCoLC)48834963 Princeton series in applied mathematics. http://id.loc.gov/authorities/names/no2002046464 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=273040 Volltext FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=81048 Volltext |
| spellingShingle | Peng, Jiming Self-regularity : a new paradigm for primal-dual interior-point algorithms / Princeton series in applied mathematics. Preface; Acknowledgements; Notation; List of Abbreviations; Chapter 1. Introduction and Preliminaries; Chapter 2. Self-Regular Functions and Their Properties; Chapter 3. Primal-Dual Algorithms for Linear Optimization Based on Self-Regular Proximities; Chapter 4. Interior-Point Methods for Complementarity Problems Based on Self-Regular Proximities; Chapter 5. Primal-Dual Interior-Point Methods for Semidefinite Optimization Based on Self-Regular Proximities; Chapter 6. Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities. Mathematical optimization. http://id.loc.gov/authorities/subjects/sh85082127 Interior-point methods. http://id.loc.gov/authorities/subjects/sh2001008550 Programming (Mathematics) http://id.loc.gov/authorities/subjects/sh85107312 Optimisation mathématique. Méthodes de points intérieurs. Programmation (Mathématiques) MATHEMATICS Optimization. bisacsh MATHEMATICS Applied. bisacsh Interior-point methods fast Mathematical optimization fast Programming (Mathematics) fast Controleleer. gtt Zelfregulering. gtt Algoritmen. gtt Mathematische programmering. gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082127 http://id.loc.gov/authorities/subjects/sh2001008550 http://id.loc.gov/authorities/subjects/sh85107312 |
| title | Self-regularity : a new paradigm for primal-dual interior-point algorithms / |
| title_auth | Self-regularity : a new paradigm for primal-dual interior-point algorithms / |
| title_exact_search | Self-regularity : a new paradigm for primal-dual interior-point algorithms / |
| title_full | Self-regularity : a new paradigm for primal-dual interior-point algorithms / Jiming Peng, Cornelis Roos, and Tamás Terlaky. |
| title_fullStr | Self-regularity : a new paradigm for primal-dual interior-point algorithms / Jiming Peng, Cornelis Roos, and Tamás Terlaky. |
| title_full_unstemmed | Self-regularity : a new paradigm for primal-dual interior-point algorithms / Jiming Peng, Cornelis Roos, and Tamás Terlaky. |
| title_short | Self-regularity : |
| title_sort | self regularity a new paradigm for primal dual interior point algorithms |
| title_sub | a new paradigm for primal-dual interior-point algorithms / |
| topic | Mathematical optimization. http://id.loc.gov/authorities/subjects/sh85082127 Interior-point methods. http://id.loc.gov/authorities/subjects/sh2001008550 Programming (Mathematics) http://id.loc.gov/authorities/subjects/sh85107312 Optimisation mathématique. Méthodes de points intérieurs. Programmation (Mathématiques) MATHEMATICS Optimization. bisacsh MATHEMATICS Applied. bisacsh Interior-point methods fast Mathematical optimization fast Programming (Mathematics) fast Controleleer. gtt Zelfregulering. gtt Algoritmen. gtt Mathematische programmering. gtt |
| topic_facet | Mathematical optimization. Interior-point methods. Programming (Mathematics) Optimisation mathématique. Méthodes de points intérieurs. Programmation (Mathématiques) MATHEMATICS Optimization. MATHEMATICS Applied. Interior-point methods Mathematical optimization Controleleer. Zelfregulering. Algoritmen. Mathematische programmering. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=273040 https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=81048 |
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