Interior Point Methods for Linear Optimization
Linear Optimization (LO) is one of the most widely applied and taught techniques in mathematics, with applications in many areas of science, commerce and industry. The dramatically increased interest in the subject is due mainly to advances in computer technology and the development of Interior Poin...
Сохранить в:
| Главные авторы: | , , |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Boston, MA :
Springer US
[20..].
Cham : Springer Nature |
| Редактирование: | Revised Edition. |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Interior point methods for linear optimization, by Cornelis Roos,... Tamas Terlaky,... Jean-Philippe Vial,..., 2nd edition, New York (N.Y.), Springer, 2006, 1 vol. (XXIV-497 p.), 0-387-26378-0 • Nucleic acids and molecular biology, ed. by Fritz eckstein, David M. J. lilley, Berlin, Springer, 1987, vol., 3-540-17595-4 • Interior Point Methods for Linear Optimization, Texte imprimé, 9781441938879 |
| LEADER | 05095nam a22003617a 4500 | ||
|---|---|---|---|
| 001 | 947851 | ||
| 008 | 080409q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN123073464 | ||
| 020 | |a 9780387263793 | ||
| 041 | 0 | |a eng | |
| 082 | |a 519.6 | ||
| 100 | 1 | |a Roos, Cornelis, |d 1941- | |
| 245 | 1 | 0 | |a Interior Point Methods for Linear Optimization |c by Cornelis Roos, Tamás Terlaky, Jean-Philiipe Vial. |
| 250 | |a Revised Edition. | ||
| 260 | |a Boston, MA : |b Springer US. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Introduction: Theory and Complexity Duality Theory for Linear Optimization A Polynomial Algorithm for the Self dual Model Solving the Canonical Problem The Logarithmic Barrier Approach Preliminaries The Dual Logarithmic Barrier Method The Primal Dual Logarithmic Barrier Method Initialization The Target-following Approach Preliminaries The Primal-Dual Newton Method Applications The Dual Newton Method The Primal Newton Method Application to the Method of Centers Miscellaneous Topics Karmarkar s Projective Method More Properties of the Central Path Partial Updating Higher-Order Methods Parametric and Sensitivity Analysis Implementing Interior Point Methods. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Linear Optimization (LO) is one of the most widely applied and taught techniques in mathematics, with applications in many areas of science, commerce and industry. The dramatically increased interest in the subject is due mainly to advances in computer technology and the development of Interior Point Methods (IPMs) for LO. This book provides a unified presentation of the field. The authors present a self-contained comprehensive interior point approach to both the theory of LO and algorithms for LO (design, convergence, complexity, asymptotic behaviour and computational issues). A common thread throughout the book is the role of strictly complementary solutions, which play a crucial role in the interior point approach and distinguishes the new approach from the classical Simplex-based approach. The approach to LO in this book is new in many aspects. In particular the IPM and self-dual model based development of duality theory is surprisingly elegant. The algorithmic part of this book contains a complete discussion of many algorithmic variants, including predictor-corrector methods, partial updating, higher order methods and sensitivity and parametric analysis. The comprehensive coverage of the subject, together with the clarity of presentation, ensures that this book will be an invaluable resource for researchers and professionals who wish to develop their understanding of LO and IPMs. Numerous exercises are provided to help consolidate understanding of the material and more than 45 figures are included to illustrate the characteristics of the algorithms. A general understanding of linear algebra and calculus is assumed. The first chapters provide a self-contained introduction to LO for readers who are unfamiliar with LO methods; however these chapters are also of interest for others who want to have a fresh look at the topic. Audience This book is intended for the optimization researcher community, advanced undergraduate and graduate students who are interested to learn the fundamentals and major variants of Interior Point Methods for linear optimization, who want to have a comprehensive introduction to Interior Point Methods that revolutionized the theory and practice of modern optimization. | ||
| 700 | 1 | |a Terlaky, Tamas. |4 aut | |
| 700 | 1 | |a Vial, Jean-Philippe. |4 aut | |
| 776 | 0 | |0 118002112 |t Interior point methods for linear optimization |f by Cornelis Roos,... Tamas Terlaky,... Jean-Philippe Vial,... |e 2nd edition |c New York (N.Y.) |n Springer |d 2006 |p 1 vol. (XXIV-497 p.) |z 0-387-26378-0 | |
| 776 | 0 | |0 00919469X |t Nucleic acids and molecular biology |f ed. by Fritz eckstein, David M. J. lilley |c Berlin |n Springer |d 1987 |p vol. |z 3-540-17595-4 | |
| 776 | 0 | |t Interior Point Methods for Linear Optimization |b Texte imprimé |z 9781441938879 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b100325 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-31D80XDK-P |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:74804826X |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b100325 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:751499439 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b100325 |z Accès INSA CVL | |
| 997 | |0 947851 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||