Linear and Nonlinear Programming

Author:   David G. Luenberger ,  Yinyu Ye
Publisher:   Springer International Publishing AG
Edition:   Softcover reprint of the original 4th ed. 2016
Volume:   228
ISBN:  

9783319374390


Pages:   546
Publication Date:   17 October 2016
Format:   Paperback
Availability:   In Print   Availability explained
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Linear and Nonlinear Programming


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Author:   David G. Luenberger ,  Yinyu Ye
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 4th ed. 2016
Volume:   228
Dimensions:   Width: 15.50cm , Height: 2.90cm , Length: 23.50cm
Weight:   8.365kg
ISBN:  

9783319374390


ISBN 10:   3319374397
Pages:   546
Publication Date:   17 October 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.
Language:   English

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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Author Information

David G. Luenberger received the B.S. degree from the California Institute of Technology and the M.S. and Ph.D. degrees from Stanford University, all in Electrical Engineering.  Since 1963 he has been on the faculty of Stanford University.  He helped found the Department of Engineering-Economic Systems, now merged to become the Department of Management Science and Engineering, where his is currently a professor. He served as Technical Assistant to the President’s Science Advisor in 1971-72, was Guest Professor at the Technical University of Denmark (1986), Visiting Professor of the Massachusetts Institute of Technology (1976), and served as Department Chairman at Stanford (1980-1991). His awards include: Member of the National Academy of Engineering (2008), the Bode Lecture Prize of the Control Systems Society (1990), the Oldenburger Medal of the American Society of Mechanical Engineers (1995), and the Expository Writing Award of the Institute of Operations Research and Management Science (1999).  He is a Fellow of the Institute of Electrical and Electronic Engineers (since 1975). Yinyu Ye is currently the Kwoh-Ting Li Professor in the School of Engineering at the Department of Management Science and Engineering and Institute of Computational and Mathematical Engineering and the Director of the MS&E Industrial Affiliates Program, Stanford University. He received the B.S. degree in System Engineering from the Huazhong University of Science and Technology, China, and the M.S. and Ph.D. degrees in Engineering-Economic Systems and Operations Research from Stanford University. Ye's research interests lie in the areas of optimization, complexity theory, algorithm design and analysis, and applications of mathematical programming, operations research and system engineering. He is also interested in developing optimization software for various real-world applications. Current research topics include Liner Programming Algorithms, Markov Decision Processes, Computational Game/Market Equilibrium, Metric Distance Geometry, Dynamic Resource Allocation, and Stochastic and Robust Decision Making, etc. He is an INFORMS (The Institute for Operations Research and The Management Science) Fellow, and has received several research awards including the inaugural 2012 ISMP Tseng Lectureship Prize for outstanding contribution to continuous optimization, the 2009 John von Neumann Theory Prize for fundamental sustained contributions to theory in Operations Research and the Management Sciences, the inaugural 2006 Farkas prize on Optimization, and the 2009 IBM Faculty Award.

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