- Tytuł:
- Application of high-performance techniques for solving linear systems of algebraic equations
- Autorzy:
- Grzonka, D.
- Powiązania:
- https://bibliotekanauki.pl/articles/307729.pdf
- Data publikacji:
- 2013
- Wydawca:
- Instytut Łączności - Państwowy Instytut Badawczy
- Tematy:
-
Advanced Vector Extension
conjugate gradient method
incomplete Cholesky factorization
preconditioning
vector registers - Opis:
- Solving many problems in mechanics, engineering, medicine and other (e.g., diffusion tensor magnetic resonance imaging or finite element modeling) requires the efficient solving of algebraic equations. In many cases, such systems are very complex with a large number of linear equations, which are symmetric positive-defined (SPD). This paper is focused on improving the computational efficiency of the solvers dedicated for the linear systems based on incomplete and noisy SPD matrices by using preconditioning technique – Incomplete Cholesky Factorization, and modern set of processor instructions – Advanced Vector Extension. Application of these techniques allows to fairly reduce the computational time, number of iterations of conventional algorithms and improve the speed of calculation.
- Źródło:
-
Journal of Telecommunications and Information Technology; 2013, 4; 85-91
1509-4553
1899-8852 - Pojawia się w:
- Journal of Telecommunications and Information Technology
- Dostawca treści:
- Biblioteka Nauki
Artykuł