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- W2106696391 abstract "In this paper we present two parallel algorithms to solve non-symmetric Toeplitz systems of linear equations. The first algorithm performs a modified QR factorization of the matrix by using the generalized Schur algorithm. The second one is based on the transformation of the Toeplitz matrix into a Cauchy-like matrix in order to reduce the communication cost. Both sequential methods have small computational cost. This fact makes it difficult to implement efficient parallel algorithms. We have tested the efficiency and stability of the algorithms on a cluster of personal computers. The results show the speed-up reaches the number of processors in many cases and both algorithms offer an accurate solution of the linear system. Besides, we have used public domain computation and communication libraries in order to get portable codes." @default.
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- W2106696391 date "2004-01-01" @default.
- W2106696391 modified "2023-10-18" @default.
- W2106696391 title "Parallel Algorithms for the Solution of Toeplitz Systems of Linear Equations" @default.
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- W2106696391 doi "https://doi.org/10.1007/978-3-540-24669-5_125" @default.
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