Linear and Nonlinear Programming Third Edition~tqw~ darksiderg

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Linear and Nonlinear Programming: Third Edition
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Release NotesLinear and Nonlinear Programming is considered a classic textbook in
Optimization. While it is a classic, it also reflects modern theoretical
insights. These insights provide structure to what might otherwise be simply a
collection of techniques and results, and this is valuable both as a means for
learning existing material and for developing new results. One major insight of
this type is the connection between the purely analytical character of an
optimization problem, expressed perhaps by properties of the necessary
conditions, and the behavior of algorithms used to solve a problem. This was a
major theme of the first edition of this book and the second edition expands and
further illustrates this relationship.

Table Of Contents

Chapter 1. Introduction 1
PART I Linear Programming
Chapter 2. Basic Properties of Linear Programs 11
Chapter 3. The Simplex Method 33
Chapter 4. Duality 79
Chapter 5. Interior-Point Methods 111
Chapter 6. Transportation and Network Flow Problems 145
PART II Unconstrained Problems
Chapter 7. Basic Properties of Solutions and Algorithms 183
Chapter 8. Basic Descent Methods 215
Chapter 9. Conjugate Direction Methods 263
Chapter 10. Quasi-Newton Methods 285
PART III Constrained Minimization
Chapter 11. Constrained Minimization Conditions 321
Chapter 12. Primal Methods 359
Chapter 13. Penalty and Barrier Methods 401
Chapter 14. Dual and Cutting Plane Methods 435
Chapter 15. Primal-Dual Methods 469
Appendix A. Mathematical Review 507
Appendix B. Convex Sets 515
Appendix C. Gaussian Elimination 523
Bibliography 527
Index 541

Product Details
ISBN: 0387745025
ISBN-13: 9780387745022
Format: Hardcover, 560pp
Publisher: Springer-Verlag New York, LLC
Pub. Date: June 2008
Edition Number: 3
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