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Linear and nonlinear programming

Author: David G Luenberger; Yinyu Ye
Publisher: New York, NY : Springer, ©2008.
Series: International series in operations research & management science, 116.
Edition/Format:   Print book : English : 3rd edView all editions and formats
Summary:
This edition has been updated with recent optimisation methods. The authors have written chapters and chapter material on a number of these areas including interior point methods. It is designed for either self-study by professionals or classroom work at undergraduate or graduate level for technical students.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David G Luenberger; Yinyu Ye
ISBN: 9780387745022 0387745025 0387745033 9780387745039
OCLC Number: 171549627
Description: xiii, 546 pages : illustrations ; 25 cm.
Contents: Introduction.- Part I: Linear Programming.- 2. Basic Properties of Linear Programs.- 3. The Simplex Method.- 4. Duality.- 5. Interior-Point Methods.- 6. Transportation and Network Flow Problems.- Part II: Unconstrained Problems.-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. Primal-Dual 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.
Series Title: International series in operations research & management science, 116.
Responsibility: David G. Luenberger, Yinyu Ye.
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Abstract:

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. The book also has  Read more...

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From the reviews of the third edition:"The aim of this book is to present the central concepts of optimization techniques. ... the material in this new edition is organized into three separate parts. Read more...

 
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