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• catalog abstract "Linear Optimization (LO) is one of the most widely taught and fast developing 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 to the development of Interior Point Methods (IPM) for LO. This book provides a unified presentation of the field by way of an interior point approach to both the theory of LO and algorithms for LO (design, convergence, complexity and asymptotic behaviour). 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 based development of duality theory is surprisingly elegant. The algorithmic parts of the book contain a complete discussion of many algorithmic variants, including predictor-corrector methods, partial updating, higher order methods and sensitivity and parametric analysis.".
• catalog contributor b11250194.
• catalog contributor b11250195.
• catalog contributor b11250196.
• catalog created "c1997.".
• catalog date "1997".
• catalog date "c1997.".
• catalog dateCopyrighted "c1997.".
• catalog description "1. Introduction -- I. Introduction: Theory and Complexity. 2. Duality Theory for Linear Optimization. 3. A Polynomial Algorithm for the Skew-symmetric Model. 4. Solving the Canonical Problem -- II. The Logarithmic Barrier Approach. 5. Preliminaries. 6. The Dual Logarithmic Barrier Method. 7. The Primal-Dual Logarithmic Barrier Method. 8. Initialization -- III. The Target-following Approach. 9. Preliminaries. 10. The Primal-Dual Newton Method. 11. Applications. 12. The Dual Newton Method. 13. The Primal Newton Method. 14. Application to the Method of Centers -- IV. Miscellaneous Topics. 15. Karmarkar's Projective Method. 16. More Properties of the Central Path. 17. Partial Updating. 18. Higher-Order Methods.".
• catalog description "Includes bibliographical references (p. [449]-466) and indexes.".
• catalog description "Linear Optimization (LO) is one of the most widely taught and fast developing 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 to the development of Interior Point Methods (IPM) for LO. This book provides a unified presentation of the field by way of an interior point approach to both the theory of LO and algorithms for LO (design, convergence, complexity and asymptotic behaviour). 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.".
• catalog description "The approach to LO in this book is new in many aspects. In particular the IPM based development of duality theory is surprisingly elegant. The algorithmic parts of the book contain a complete discussion of many algorithmic variants, including predictor-corrector methods, partial updating, higher order methods and sensitivity and parametric analysis.".
• catalog extent "xxiv, 482 p. :".
• catalog hasFormat "Theory and algorithms for linear optimization.".
• catalog identifier "0471956767 (alk. paper)".
• catalog isFormatOf "Theory and algorithms for linear optimization.".
• catalog isPartOf "Wiley-Interscience series in discrete mathematics and optimization".
• catalog issued "1997".
• catalog issued "c1997.".
• catalog language "eng".
• catalog publisher "Chichester ; New York : Wiley,".
• catalog relation "Theory and algorithms for linear optimization.".
• catalog subject "Algorithms.".
• catalog subject "Interior-point methods.".
• catalog subject "Linear programming.".
• catalog subject "Mathematical optimization.".
• catalog subject "T57.74 .R664 1997".
• catalog tableOfContents "1. Introduction -- I. Introduction: Theory and Complexity. 2. Duality Theory for Linear Optimization. 3. A Polynomial Algorithm for the Skew-symmetric Model. 4. Solving the Canonical Problem -- II. The Logarithmic Barrier Approach. 5. Preliminaries. 6. The Dual Logarithmic Barrier Method. 7. The Primal-Dual Logarithmic Barrier Method. 8. Initialization -- III. The Target-following Approach. 9. Preliminaries. 10. The Primal-Dual Newton Method. 11. Applications. 12. The Dual Newton Method. 13. The Primal Newton Method. 14. Application to the Method of Centers -- IV. Miscellaneous Topics. 15. Karmarkar's Projective Method. 16. More Properties of the Central Path. 17. Partial Updating. 18. Higher-Order Methods.".
• catalog title "Theory and algorithms for linear optimization : an interior point approach / C. Roos, T. Terlaky, and J.-Ph. Vial.".
• catalog type "text".