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Linear Programming: Foundations and Extensions
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Linear Programming: Foundations and Extensions Hardback - 1996 - 1997th Edition

by Robert J. Vanderbei

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Reader reviews for Linear Programming: Foundations and Extensions

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This book focuses largely on constrained optimization. It begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Along the way, dynamic programming and the linear complementarity problem are touched on as well.
This book aims to be the first introduction to the topic. Specific examples and concrete algorithms precede more abstract topics. Nevertheless, topics covered are developed in some depth, a large number of numerical examples worked out in detail, and many recent results are included, most notably interior-point methods. The exercises at the end of each chapter both illustrate the theory, and, in some cases, extend it.
Optimization is not merely an intellectual exercise: its purpose is to solve practical problems on a computer. Accordingly, the book comes with software that implements the major algorithms studied. At this point, software for the following four algorithms is available:
  • The two-phase simplex method
  • The primal-dual simplex method
  • The path-following interior-point method
  • The homogeneous self-dual methods. /LIST .
  • Details

    • Title Linear Programming: Foundations and Extensions
    • Author Robert J. Vanderbei
    • Binding Hardback
    • Edition number 1997th
    • Edition 1997
    • Pages 418
    • Volumes 1
    • Language ENG
    • Publisher Springer
    • Publication date 1996-12-31
    • Illustrated Yes
    • Features Bibliography, Illustrated, Index
    • ISBN 9780792398042 / 0792398041
    • Weight 1.83 lbs (0.83 kg)
    • Dimensions 9.6 x 6.44 x 1.15 in (24.38 x 16.36 x 2.92 cm)
    • Category Mathematics
    • Library of Congress subjects Mathematical optimization, Linear programming
    • Library of Congress Catalogue Number 96047149
    • Dewey Decimal Code 519.7

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