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• catalog contributor b12905727.
• catalog contributor b12905728.
• catalog contributor b12905729.
• catalog created "c2002.".
• catalog date "2002".
• catalog date "c2002.".
• catalog dateCopyrighted "c2002.".
• catalog description "4.2. Preliminary Results on [actual symbol not reproducible] Mappings -- 4.3. New Search Directions for [actual symbol not reproducible] CPs -- 4.4. Complexity of the Algorithm -- Ch. 5. Primal-Dual Interior-Point Methods for Semidefinite Optimization Based on Self-Regular Proximities -- 5.1. Introduction to SDO, Duality Theory and Central Path -- 5.2. Preliminary Results on Matrix Functions -- 5.3. New Search Directions for SDO -- 5.4. New Polynomial Primal-Dual IPMs for SDO -- Ch. 6. Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities -- 6.1. Introduction to SOCO, Duality Theory and The Cental Path -- 6.2. Preliminary Results on Functions Associated with Second-Order Cones -- 6.3. New Search Directions for SOCO -- 6.4. New IPMs for SOCO -- Ch. 7. Initialization: Embedding Models for Linear Optimization, Complementarity Problems, Semidefinite Optimization and Second-Order Conic Optimization -- ".
• catalog description "7.1. The Self-Dual Embedding Model for LO -- 7.2. The Embedding Model for CP -- 7.3. Self-Dual Embedding Models for SDO and SOCO -- Ch. 8. Conclusions -- 8.1. A Survey of the Results and Future Research Topics.".
• catalog description "Ch. 1. Introduction and Preliminaries -- 1.1. Historical Background of Interior-Point Methods -- 1.2. Primal-Dual Path-Following Algorithm for LO -- 1.3. Preliminaries and Scope of the Monograph -- Ch. 2. Self-Regular Functions and Their Properties -- 2.1. An Introduction to Univariate Self-Regular Functions -- 2.2. Basic Properties of Univariate Self-Regular Functions -- 2.3. Relations Between S-R and S-C Functions -- Ch. 3. Primal-Dual Algorithms for Linear Optimization Based on Self-Regular Proximities -- 3.1. Self-Regular Functions in [actual symbol not reproducible] and Self-Regular Proximities for LO -- 3.2. The Algorithm -- 3.3. Estimate of the Proximity After a Newton Step -- 3.4. Complexity of the Algorithm -- 3.5. Relaxing the Requirement on the Proximity Function -- Ch. 4. Interior-Point Methods for Complementarity Problems Based on Self-Regular Proximities -- 4.1. Introduction to CPs and the Central Path -- ".
• catalog description "Includes bibliographical references (p. [175]-181) and index.".
• catalog extent "xiii, 185 p. :".
• catalog identifier "0691091927 (cloth)".
• catalog identifier "0691091935 (pbk.)".
• catalog isPartOf "Princeton series in applied mathematics".
• catalog issued "2002".
• catalog issued "c2002.".
• catalog language "eng".
• catalog publisher "Princeton, N.J. : Princeton University Press,".
• catalog subject "519.3 21".
• catalog subject "Interior-point methods.".
• catalog subject "Mathematical optimization.".
• catalog subject "Programming (Mathematics)".
• catalog subject "QA402.5 .P4185 2002".
• catalog tableOfContents "4.2. Preliminary Results on [actual symbol not reproducible] Mappings -- 4.3. New Search Directions for [actual symbol not reproducible] CPs -- 4.4. Complexity of the Algorithm -- Ch. 5. Primal-Dual Interior-Point Methods for Semidefinite Optimization Based on Self-Regular Proximities -- 5.1. Introduction to SDO, Duality Theory and Central Path -- 5.2. Preliminary Results on Matrix Functions -- 5.3. New Search Directions for SDO -- 5.4. New Polynomial Primal-Dual IPMs for SDO -- Ch. 6. Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities -- 6.1. Introduction to SOCO, Duality Theory and The Cental Path -- 6.2. Preliminary Results on Functions Associated with Second-Order Cones -- 6.3. New Search Directions for SOCO -- 6.4. New IPMs for SOCO -- Ch. 7. Initialization: Embedding Models for Linear Optimization, Complementarity Problems, Semidefinite Optimization and Second-Order Conic Optimization -- ".
• catalog tableOfContents "7.1. The Self-Dual Embedding Model for LO -- 7.2. The Embedding Model for CP -- 7.3. Self-Dual Embedding Models for SDO and SOCO -- Ch. 8. Conclusions -- 8.1. A Survey of the Results and Future Research Topics.".
• catalog tableOfContents "Ch. 1. Introduction and Preliminaries -- 1.1. Historical Background of Interior-Point Methods -- 1.2. Primal-Dual Path-Following Algorithm for LO -- 1.3. Preliminaries and Scope of the Monograph -- Ch. 2. Self-Regular Functions and Their Properties -- 2.1. An Introduction to Univariate Self-Regular Functions -- 2.2. Basic Properties of Univariate Self-Regular Functions -- 2.3. Relations Between S-R and S-C Functions -- Ch. 3. Primal-Dual Algorithms for Linear Optimization Based on Self-Regular Proximities -- 3.1. Self-Regular Functions in [actual symbol not reproducible] and Self-Regular Proximities for LO -- 3.2. The Algorithm -- 3.3. Estimate of the Proximity After a Newton Step -- 3.4. Complexity of the Algorithm -- 3.5. Relaxing the Requirement on the Proximity Function -- Ch. 4. Interior-Point Methods for Complementarity Problems Based on Self-Regular Proximities -- 4.1. Introduction to CPs and the Central Path -- ".
• catalog title "Self-regularity : a new paradigm for primal-dual interior-point algorithms / Jiming Peng, Cornelis Roos and Tamás Terlaky.".
• catalog type "text".