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1991 | OriginalPaper | Chapter

Solving Triangular System in Parallel is Accurate

Author : Nai-kuan Tsao

Published in: Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms

Publisher: Springer Berlin Heidelberg

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An error complexity analysis of two algorithms for solving a unit diagonal triangular system is given. The results show that the usual sequential algorithm is optimal in terms of having the minimal maximum and cumulative error complexity measures. The parallel algorithm described by Sameh and Brent is shown to be essentially equivalent to the optimal sequential one.

Metadata
Title
Solving Triangular System in Parallel is Accurate
Author
Nai-kuan Tsao
Copyright Year
1991
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-75536-1_51

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