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|a QA402.5
|b .P397x 2002
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| 100 |
1 |
|
|a Peng, Jiming.
|0 http://id.loc.gov/authorities/names/nb2002012150
|1 http://viaf.org/viaf/29037755
|
| 245 |
1 |
0 |
|a Self-regularity :
|b a new paradigm for primal-dual interior-point algorithms /
|c Jiming Peng, Cornelis Roos & Tamás Terlaky.
|
| 260 |
|
|
|a Princeton, N.J. :
|a Chichester :
|b Princeton University Press,
|c 2002.
|
| 300 |
|
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|a 176 p. ;
|c 23 cm.
|
| 336 |
|
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|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
|
| 337 |
|
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|a unmediated
|b n
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/n
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| 338 |
|
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|a volume
|b nc
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/nc
|
| 505 |
0 |
0 |
|g Ch. 1.
|t Introduction and Preliminaries --
|g 1.1.
|t Historical Background of Interior-Point Methods --
|g 1.2.
|t Primal-Dual Path-Following Algorithm for LO --
|g 1.3.
|t Preliminaries and Scope of the Monograph --
|g Ch. 2.
|t Self-Regular Functions and Their Properties --
|g 2.1.
|t An Introduction to Univariate Self-Regular Functions --
|g 2.2.
|t Basic Properties of Univariate Self-Regular Functions --
|g 2.3.
|t Relations Between S-R and S-C Functions --
|g Ch. 3.
|t Primal-Dual Algorithms for Linear Optimization Based on Self-Regular Proximities --
|g 3.1.
|t Self-Regular Functions in [actual symbol not reproducible] and Self-Regular Proximities for LO --
|g 3.2.
|t The Algorithm --
|g 3.3.
|t Estimate of the Proximity After a Newton Step --
|g 3.4.
|t Complexity of the Algorithm --
|g 3.5.
|t Relaxing the Requirement on the Proximity Function --
|g Ch. 4.
|t Interior-Point Methods for Complementarity Problems Based on Self-Regular Proximities --
|g 4.1.
|t Introduction to CPs and the Central Path --
|g 4.2.
|t Preliminary Results on [actual symbol not reproducible] Mappings --
|g 4.3.
|t New Search Directions for [actual symbol not reproducible] CPs --
|g 4.4.
|t Complexity of the Algorithm --
|g Ch. 5.
|t Primal-Dual Interior-Point Methods for Semidefinite Optimization Based on Self-Regular Proximities --
|g 5.1.
|t Introduction to SDO, Duality Theory and Central Path --
|g 5.2.
|t Preliminary Results on Matrix Functions --
|g 5.3.
|t New Search Directions for SDO --
|g 5.4.
|t New Polynomial Primal-Dual IPMs for SDO --
|g Ch. 6.
|t Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities --
|g 6.1.
|t Introduction to SOCO, Duality Theory and The Cental Path --
|g 6.2.
|t Preliminary Results on Functions Associated with Second-Order Cones --
|g 6.3.
|t New Search Directions for SOCO --
|g 6.4.
|t New IPMs for SOCO --
|g Ch. 7.
|t Initialization: Embedding Models for Linear Optimization, Complementarity Problems, Semidefinite Optimization and Second-Order Conic Optimization --
|g 7.1.
|t The Self-Dual Embedding Model for LO --
|g 7.2.
|t The Embedding Model for CP --
|g 7.3.
|t Self-Dual Embedding Models for SDO and SOCO --
|g Ch. 8.
|t Conclusions --
|g 8.1.
|t A Survey of the Results and Future Research Topics.
|
| 650 |
|
0 |
|a Mathematical optimization.
|0 http://id.loc.gov/authorities/subjects/sh85082127
|
| 650 |
|
0 |
|a Programming (Mathematics)
|0 http://id.loc.gov/authorities/subjects/sh85107312
|
| 650 |
|
7 |
|a Interior-point methods.
|2 fast
|0 http://id.worldcat.org/fast/fst00976414
|
| 650 |
|
7 |
|a Mathematical optimization.
|2 fast
|0 http://id.worldcat.org/fast/fst01012099
|
| 650 |
|
7 |
|a Programming (Mathematics)
|2 fast
|0 http://id.worldcat.org/fast/fst01078701
|
| 700 |
1 |
|
|a Roos, Cornelis,
|d 1941-
|0 http://id.loc.gov/authorities/names/n85829933
|1 http://viaf.org/viaf/117302942
|
| 700 |
1 |
|
|a Terlaky, Tamás.
|0 http://id.loc.gov/authorities/names/n88253681
|1 http://viaf.org/viaf/95208538
|
| 901 |
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|t Library of Congress classification
|a QA402.5 .P46 2002
|l ASR
|c ASR-SciASR
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|t Library of Congress classification
|a QA402.5 .P46 2002
|l ASR
|c ASR-SciASR
|e WILS
|e CRERAR
|b 63152803
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