Szczegóły publikacji
Opis bibliograficzny
A study on vectorisation and paralellisation of the monotonicity approach / Iwona SKALNA, Jerzy DUDA // W: Parallel Processing and Applied Mathematics : 11th international conference, PPAM 2015 : Krakow, Poland, September 6–9, 2015 : revised selected papers, Pt. 2 / eds. Roman Wyrzykowski, [et al.]. — Swizerland : Springer International Publishing, cop. 2016. — (Lecture Notes in Computer Science ; ISSN 0302-9743 ; 9574). — ISBN: 978-3-319-32151-6; e-ISBN: 978-3-319-32152-3. — S. 455–463. — Bibliogr. s. 462–463, Abstr.
Autorzy (2)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 97577 |
|---|---|
| Data dodania do BaDAP | 2016-05-13 |
| DOI | 10.1007/978-3-319-32152-3_42 |
| Rok publikacji | 2016 |
| Typ publikacji | materiały konferencyjne (aut.) |
| Otwarty dostęp |  |
| Konferencja | International Conference on Parallel Processing and Applied Mathematics 2015 |
| Czasopisma/serie | Lecture Notes in Computer Science, Theoretical Computer Science and General Issues |
Abstract
Solving parametric interval linear systems is one of the fundamental problems of interval computations. When the solution of a parametric linear system is a monotone function of interval parameters, then an interval hull of the parametric solution set can be computed by solving at most 2n real systems. If only some of the elements of the solution are monotone functions of parameters, then a good quality interval enclosure of the solution set can be obtained. The monotonicity approach, however, suffers from poor performance when dealing with large scale problems. Therefore, in this paper an attempt is made to improve the efficiency of the monotonicity approach. Techniques such as vectorisation and parallelisation are used for this purpose. The proposed approach is verified using some illustrative examples from structural mechanics.
