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Rigorous Error Bounds for Finite Dimensional Linear Programming Problems

Jezik EngleskiEngleski
Knjiga Meki uvez
Knjiga Rigorous Error Bounds for Finite Dimensional Linear Programming Problems Christian Keil
Libristo kod: 01794385
Nakladnici Books on Demand, studeni 2008
This dissertation treats the theory, implementation, and application of rigorous error bounds in the... Cijeli opis
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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.

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Informacije o knjizi

Puni naziv Rigorous Error Bounds for Finite Dimensional Linear Programming Problems
Autor Christian Keil
Jezik Engleski
Uvez Knjiga - Meki uvez
Datum izdanja 2009
Broj stranica 128
EAN 9783837093353
Libristo kod 01794385
Nakladnici Books on Demand
Težina 216
Dimenzije 155 x 220 x 9

Kategorija

Mathematics & Science > Mathematics > Probability & statistics
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