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Home > Business and Economics > Business and Management > Operational research > Computational Mathematical Programming: ("Mathematical Programming Studies " S.)
Computational Mathematical Programming: ("Mathematical Programming Studies " S.)

Computational Mathematical Programming: ("Mathematical Programming Studies " S.)


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About the Book

As modelling efforts attempt to solve problems related to ever more complex systems, and as algorithms are developed specifically to handle problems having thousands (or even hundreds of thousands) of variables, the need for sound computational testing and full disclosure of experimental results is both obvious and immediate. This collection of papers reflects both the current technology available to mathematical programmers for solving optimization problems, and mechanisms for testing and determining the quality of software used. This testing requires suitable test problems and the execution of a designed experiment to determine the efficiency, robustness, reliability and applicability of various algorithms. Many aspects of computational mathematical programming are covered: the testing of new algorithms for optimizing functions of a specified form, computational comparisons of known algorithms, a preliminary computational evaluation of the new projective method, why decomposition methods have not been as successful as originally anticipated, etc.

Table of Contents:
An Implicit Enumeration Procedure for the General Linear Complementarity Problem (F. Al-Khayyal). Recursive Quadratic Programming Methods Based on the Augmented Lagrangian (M.C. Bartholomew-Biggs). A Primal Truncated Newton Algorithm with Application to Large-Scale Nonlinear Network Optimization (R.S. Dembo). Approximating Some Convex Programs in Terms of Borel Fields. Computer-Assisted Analysis for Diagnosing Infeasible or Unbounded Linear Programs (H.J. Greenberg). Restricted Simplicial Decomposition: Computation and Extensions (D.W. Hearn, S. Lawphongpanich and J.A. Ventura). Recent Advances in the Decomposition Approach to Linear Programming (J.K. Ho). A Note on Solution of Nonlinear Programming Problems with Imprecise Function and Gradient Values (M. Kupferschmid and J.G. Ecker). A New Algorithm for Highly Curved Constrained Optimization (Z.A. Maany). An Implementation of an Algorithm for Univariate Minimization and an Application to Nested Optimization (R. Mifflin). On Practical Stopping Rules for the Simplex Method (W. Ogryczak). An Experimental Approach to Karmarkar's Projective Method for Linear Programming (J.A. Tomlin).


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Product Details
  • ISBN-13: 9780444703095
  • Publisher: Elsevier Science & Technology
  • Publisher Imprint: Elsevier Science Ltd
  • Height: 240 mm
  • Width: 160 mm
  • ISBN-10: 0444703098
  • Publisher Date: /08/1987
  • Binding: Paperback
  • Series Title: "Mathematical Programming Studies " S.


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