Linear and Nonlinear Programming
(Sprache: Englisch)
This third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insights in this crucial computing area, and will be required reading for analysts and operations researchers in a...
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Klappentext zu „Linear and Nonlinear Programming “
This third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insights in this crucial computing area, and will be required reading for analysts and operations researchers in a variety of fields. The book connects the purely analytical character of an optimization problem, and the behavior of algorithms used to solve it. Now, the third edition has been completely updated with recent Optimization Methods. The book also has a new co-author, Yinyu Ye of California's Stanford University, who has written lots of extra material including some on Interior Point Methods.
"Linear 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.
"Linear and Nonlinear Programming" covers the central concepts of practical optimization techniques. It is designed for either self-study by professionals or classroom work at the undergraduate or graduate level for technical students. Like the field of optimization itself, which involves many classical disciplines, the book should be useful to system analysts, operations researchers, numerical analysts, management scientists, and other specialists from the host of disciplines from which practical optimization applications are drawn.
"Linear and Nonlinear Programming" covers the central concepts of practical optimization techniques. It is designed for either self-study by professionals or classroom work at the undergraduate or graduate level for technical students. Like the field of optimization itself, which involves many classical disciplines, the book should be useful to system analysts, operations researchers, numerical analysts, management scientists, and other specialists from the host of disciplines from which practical optimization applications are drawn.
Inhaltsverzeichnis zu „Linear and Nonlinear Programming “
1. IntroductionPart I: Linear Programming.
2. Basic Properties of Linear Programs.
3. The Simplex Method.
4. Duality.
5. Transportation and Network Flow Problems
Part II: Unconstrained Problems.
6. Basic Properties of Solutions and Algorithms.
7. Basic Descent Methods.
8. Conjugate Direction Methods.
9. Quasi-Newton Methods
Part III: Constrained Minimization.
10. Constrained Minimization Conditions.
11. Primal Methods.
12. Penalty and Barrier Methods.
13. Dual and Cutting Plane Methods.
14. Lagrange Methods
Appendix A: Mathematical Review. A.
1. Sets. A.
2. Matrix Notation. A.
3. Spaces. A.
4. Eigenvalues and Quadratic Forms. A.
5. Topological Concepts. A.
6. Functions
Appendix B: Convex Sets. B.
1. Basic Definitions. B.
2. Hyperplanes and Polytopes. B.
3. Separating and Supporting Hyperplanes. B.
4. Extreme Points
Appendix C: Gaussian Elimination
Bibliography.
Index.
Autoren-Porträt von David G. Luenberger
David G. Luenberger is a professor in the School of Engineeringat Stanford University. He has published four textbooks and over 70 technical papers. Professor Luenberger is a Fellow of the Institute of Electrical and Electronics Engineers. His current research is mainly in investment science, economics, and planning.
Bibliographische Angaben
- Autor: David G. Luenberger
- 2008, 3rd ed., 546 Seiten, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 0387745025
- ISBN-13: 9780387745022
Sprache:
Englisch
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