Rigorous Error Bounds for Finite Dimensional Linear Programming Problems

Name: Rigorous Error Bounds for Finite Dimensional Linear Programming Problems
Brand: Books on Demand
SKU: 9783837093353
Price: 8.71 EUR
Availability: InStock

Autor: Christian Keil

Jazyk:

Väzba: Brožovaná

Vydavateľ: Books on Demand

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8.71 €

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

Informácie o knihe

Autor

Christian Keil

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2009

Stránok

128

EAN

9783837093353

Enbook ID

01794385

Vydavateľ

Books on Demand

Hmotnosť

216

Rozmery

155 x 220 x 9

Kompletný popis

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.

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Rigorous Error Bounds for Finite Dimensional Linear Programming Problems

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