A Parallel Algorithm for Toeplitz Triangular Matrices

A Parallel Algorithm for Toeplitz Triangular Matrices

Year:    1991

Author:    Ming-Kui Chen, Hao Lu

Journal of Computational Mathematics, Vol. 9 (1991), Iss. 1 : pp. 33–40

Abstract

A new parallel algorithm for inverting Toeplitz triangular matrices as well as solving Toeplitz triangular linear systems is presented in this paper. The algorithm possesses very good parallelism, which can easily be adjusted to match the natural hardware parallelism of the computer systems, that was assumed to be much smaller than the order $n$ of the matrices to be considered since this is the usual case in practical applications. The parallel time complexity of the algorithm is $O([n/p|\log n+\log^2p)$, where $p$ is the hardware parallelism.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1991-JCM-9376

Journal of Computational Mathematics, Vol. 9 (1991), Iss. 1 : pp. 33–40

Published online:    1991-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:   

Author Details

Ming-Kui Chen

Hao Lu