Linear and Nonlinear Programming

Second Edition

David G. Luenberger

$307.95 $246.04

Hardback

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English

Springer Verlag
01 March 2004

Mathematics & Sciences; Linear programming; Applied mathematics; Computer programming & software development

The original edition of this book was celebrated for its coverage of the central concepts of practical optimization techniques. This updated edition expands and illuminates the connection between the purely analytical character of an optimization problem, expressed by properties of the necessary conditions, and the behavior of algorithms used to solve a problem. Incorporating modern theoretical insights, this classic text is even more useful.

By: David G. Luenberger
Imprint: Springer Verlag
Country of Publication: United States
Edition: 2nd ed.
Dimensions: Height: 234mm, Width: 156mm, Spine: 28mm
Weight: 1.980kg
ISBN: 9781402075933
ISBN 10: 1402075936
Pages: 516
Publication Date: 01 March 2004
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

1. Introduction. Part 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.

Reviews for Linear and Nonlinear Programming: Second Edition

From the reviews of the second edition: I have profitably used the book to apply constrained minimization procedures in the field of computational contact mechanics. I think it is not a secret that quite often books on mathematics are written from mathematicians for mathematicians. Hence it is quite hard for engineers to read and to extract valuable information from them. With this respect this book is a shining star. It presents the topics in a very precise but clear and understandable way. (Giorgio Azvaris, Turin, Italy) I have the 1977 edition from my father's MIT days. I am a Mathematician and I can verify that the book written in 1977 is of the same style that good books have today. A book is not made obsolete because some new elegant terms arise. (A reader from Greece) In this second edition ... David Luenberger focuses on practical optimization techniques. ... the book would be appropriate for graduate students or for self-study by professionals. ... I recommend the book for those who are familiar with elements of linear algebra ... . The book concludes with three short appendices ... and a bibliography and a short index. ... is intended for those who want to look deeply into optimization techniques, linear and nonlinear. ... will be useful to researchers, engineers, and graduate students. (Sergio Ubeda, Interfaces, Vol. 37 (1), 2007)