A Parallel/Recursive Algorithm

Details A Parallel/Recursive Algorithm A Parallel/Recursive Algorithm

2003-12-23

arxiv.org/abs/physics/0312139v2

Physics

Computational Physics

Replaced for various corrections in form and presentation. Accepted for publication in Journal of Computational Physics

Scientific paper

10.1016/j.jcp.2004.06.008

An algorithm is discussed for converting a class of recursive processes to a parallel system. It is argued that this algorithm can be superior to certain methods currently found in the literature for an important subset of problems. The cases of homogeneous and non-homogenous two term recursion are treated. Applications to three problems (finding the eigenvalues of a tri-diagonal matrix, the solution of a radial wave equation and the solution of a tri-diagonal matrix) are discussed.

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