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Rigorous Error Bounds for Finite Dimensional Linear Programming Problems

Name: Rigorous Error Bounds for Finite Dimensional Linear Programming Problems
Brand: Books on Demand
SKU: 01794385
Price: 8.94 EUR
Availability: InStock
Author: Christian Keil
ISBN: 9783837093353

Christian Keil

Language

English

Book Paperback

Libristo code: 01794385

Publishers Books on Demand, November 2008

This dissertation treats the theory, implementation, and application of rigorous error bounds in the... Full description

Libristo code: 01794385

22 b

8.94 €

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This dissertation treats the theory, implementation, and application of rigorous error bounds in the context of finite dimensional linear programming problems. Despite the theory of linear programming being well understood and having numerous applications, commercial solvers frequently produce erroneous results for these problems. In contrast, verification methods yield solutions proved to be correct. The thesis presents theorems that yield rigorous error bounds, a convergence analysis, and generalizations. The software package Lurupa is described, which offers the rigorous error bounds as a standalone software, a library, and from MATLAB. Extensive numerical experiments and a comparison with other software packages are presented. They demonstrate that exploiting the special structureof a problem is necessary when aiming for fast and reliable results.