MARC details
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04599nam a22004935i 4500 |
| 001 - CONTROL NUMBER |
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978-0-387-26379-3 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250710083936.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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100301s2005 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780387263793 |
| -- |
99780387263793 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/b100325 |
| Source of number or code |
doi |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519.6 |
| Edition information |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Roos, Cornelis. |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
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| Title |
Interior Point Methods for Linear Optimization |
| Medium |
[recurso electrónico] / |
| Statement of responsibility, etc. |
by Cornelis Roos, Tamás Terlaky, Jean-Philiipe Vial. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
Revised Edition. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Boston, MA : |
| Name of producer, publisher, distributor, manufacturer |
Springer US, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2005. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
XXIV, 497 p. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
recurso en línea |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
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. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
MATHEMATICS. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
ALGORITHMS. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
COMPUTER SCIENCE. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
MATHEMATICAL OPTIMIZATION. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
OPERATIONS RESEARCH. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
MATHEMATICS. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
OPTIMIZATION. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
COMPUTATIONAL SCIENCE AND ENGINEERING. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
ALGORITHMS. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Terlaky, Tamás. |
| Relator term |
author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Vial, Jean-Philiipe. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Relationship information |
Printed edition: |
| International Standard Book Number |
9780387263786 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="http://dx.doi.org/10.1007/b100325">http://dx.doi.org/10.1007/b100325</a> |
| Public note |
Ver el texto completo en las instalaciones del CICY |
| 912 ## - |
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| -- |
ZDB-2-SMA |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Libros electrónicos |
