In this paper we describe a new tridiagonal equation solver, based on a rank-one updating strategy and the repeated partitioning of the system matrix into 2 × 2 submatrices. On this basis, a recursive decoupling method is developed [2,3], which operates on the tridiagonal linear system, enabling the solution to be expressed in explicit form and solved independently on a multiprocessor system. We will show, in fact, that the Recursive Decoupling method is intrinsically parallel and can be implemented as an efficient parallel algorithm. © 1993.
The parallel recursive decoupling algorithm for solving tridiagonal linear systems
Spaletta G.
Primo
;
1993
Abstract
In this paper we describe a new tridiagonal equation solver, based on a rank-one updating strategy and the repeated partitioning of the system matrix into 2 × 2 submatrices. On this basis, a recursive decoupling method is developed [2,3], which operates on the tridiagonal linear system, enabling the solution to be expressed in explicit form and solved independently on a multiprocessor system. We will show, in fact, that the Recursive Decoupling method is intrinsically parallel and can be implemented as an efficient parallel algorithm. © 1993.File in questo prodotto:
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