Mathematical theory of optimization

Author(s)

• Du, Dingzhu
• Pardalos, P. M. (Panos M.)
• Wu, Weili

Bibliographic Information

Mathematical theory of optimization

edited by Ding-Zhu Du, Panos M. Pardalos and Weili Wu

（Nonconvex optimization and its applications, v. 56）

Kluwer Academic Publishers, c2001

Note

Includes bibliographical references (p. 255-270) and index

Description and Table of Contents

Description

This book provides an introduction to the mathematical theory of optimization. It emphasizes the convergence theory of nonlinear optimization algorithms and applications of nonlinear optimization to combinatorial optimization. Mathematical Theory of Optimization includes recent developments in global convergence, the Powell conjecture, semidefinite programming, and relaxation techniques for designs of approximation solutions of combinatorial optimization problems.

Table of Contents

Preface. 1. Optimization Problems. 2. Linear Programming. 3. Blind Man's Method. 4. Hitting Walls. 5. Slope and Path Length. 6. Average Slope. 7. Inexact Active Constraints. 8. Efficiency. 9. Variable Metric Methods. 10. Powell's Conjecture. 11. Minimax. 12. Relaxation. 13. Semidefinite Programming. 14. Interior Point Methods. 15. From Local to Global. Historical Notes. Bibliography. Index.

by "Nielsen BookData"

Details

• NCID: BA54394730
• ISBN:
  • 1402000154
• LCCN: 01038625
• Country Code: ne
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Dordrecht
• Pages/Volumes: xiii, 273 p.
• Size: 25 cm
• Classification:
  • LCC : QA402.5
• Subject Headings:
  • LCSH : Mathematical optimization
• Parent Bibliography ID:
  • BA22887079