Linear and Nonlinear Programming

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This new edition covers the central concepts of practical optimization techniques, with an emphasis on methods that are both state-of-the-art and popular. Again a connection between the purely analytical character of an optimization problem and the behavior of algorithms used to solve the problem. A...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Luenberger, David G. (Author), Ye, Yinyu (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:4th ed. 2016.
Series:International Series in Operations Research & Management Science, 228
Subjects:
Operations research.
Management science.
Mathematical models.
Industrial Management.
Operations Research and Decision Theory.
Operations Research, Management Science .
Mathematical Modeling and Industrial Mathematics.
Online Access:Texto Completo
Table of Contents:
  • Introduction
  • Part I Linear Programming
  • Basic Properties of Linear Programs
  • The Simplex Method
  • Duality and Complementarity
  • Interior-Point Methods
  • Conic Linear Programming
  • Part II Unconstrained Problems
  • Basic Properties of Solutions and Algorithms
  • Basic Descent Methods
  • Conjugate Direction Methods
  • Quasi-Newton Methods
  • Part III Constrained Minimization
  • Constrained Minimization Conditions
  • Primal Methods
  • Penalty and Barrier Methods
  • Duality and Dual Methods
  • Primal-Dual Methods
  • Appendix A: Mathematical Review
  • Appendix B: Convex Sets
  • Appendix C: Gaussian Elimination
  • Appendix D: Basic Network Concepts.

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