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Home > Mathematics and Science Textbooks > Mathematics > Applied mathematics > Computer Solution of Linear Programs: (Monographs on Numerical Analysis)
Computer Solution of Linear Programs: (Monographs on Numerical Analysis)

Computer Solution of Linear Programs: (Monographs on Numerical Analysis)


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About the Book

Provides a systematic account of the main algorithms derived from the simplex method and the means by which they may be organized into effective procedures for solving practical linear programming problems on a computer.

Table of Contents:
PART I: BASIC THEORY AND METHOD 1: Linear Programs and Their Solution 2: The Simplex Method PART II: PRACTICAL ASPECTS 3: Problem Setup 4: The Basis Matrix--Fundamentals of Numerical Computation and Numerical Linear Algebra 5: The Basis Matrix--Factorizing and Solving 6: The Basis Matrix--Updating and Solving 7: Selection Strategies--Choosing the Entering and Exiting Variables 8: Selection Strategies--Finding an Initial Feasible Solution 9: Practical Implementation 10: Mathematical Programming Systems in Practice PART III: OPTIMIZATION PRINCIPLE + SIMPLEX METHOD = LP ALGORITHM 11: The Duality Principle and the Simplex Method 12: The Decomposition Principle and the Simplex Method 13: The Homotopy Principle and the Simplex Method

Review :
"Will provide a very solid background for anyone wanting to understand the ideas behind linear programming." --Choice "This book is distinguished from most other texts on linear programming by its detailed presentation of the ideas that underlie practical implementations of the simplex algorithm. It does not presume prior knowledge of the theory of linear programming or the simplex algorithm." --The American Mathematical Monthly "Well written, clear and well organized. Hence the arguments are easy to follow. Among the many books on linear programming now on the market it is one of the very best. Not only does it describe the simplex algorithm and several important variants but it also deals with many interesting topics not often encountered in competing literature. . . . Strongly recommended to anyone interested in linear programming including economists, engineers and numerical analysts." --Mathematical Reviews


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Product Details
  • ISBN-13: 9780195042788
  • Publisher: Oxford University Press Inc
  • Publisher Imprint: Oxford University Press Inc
  • Height: 241 mm
  • No of Pages: 254
  • Spine Width: 17 mm
  • Width: 164 mm
  • ISBN-10: 0195042786
  • Publisher Date: 28 Apr 1988
  • Binding: Hardback
  • Language: English
  • Series Title: Monographs on Numerical Analysis
  • Weight: 514 gr


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Computer Solution of Linear Programs: (Monographs on Numerical Analysis)
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