TY - GEN

T1 - A parallel algorithm for lagrange interpolation on k-ary n-cubes

AU - Sarbazi-Azad, Hamid

AU - Mackenzie, Lewis M.

AU - Ould-Khaoua, Mohamed

PY - 1999

Y1 - 1999

N2 - Most current multicomputers employ k- ary n-cube networks for lowlatency and high-bandwidth inter-processor communication. This paper introduces a parallel algorithm for computing an N=kn point Lagrange interpolation on these networks. The algorithm consists of three phases: initialisation, main and final. While there is no computation in the initialisation phase, the main phase is composed of kn/2 steps, each consisting of four multiplications and four subtractions, and an additional step including one division and one multiplication. The final phase is carried out in n×⌈k/2⌉ steps, each using one addition.

AB - Most current multicomputers employ k- ary n-cube networks for lowlatency and high-bandwidth inter-processor communication. This paper introduces a parallel algorithm for computing an N=kn point Lagrange interpolation on these networks. The algorithm consists of three phases: initialisation, main and final. While there is no computation in the initialisation phase, the main phase is composed of kn/2 steps, each consisting of four multiplications and four subtractions, and an additional step including one division and one multiplication. The final phase is carried out in n×⌈k/2⌉ steps, each using one addition.

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U2 - 10.1007/3-540-49164-3_9

DO - 10.1007/3-540-49164-3_9

M3 - Conference contribution

AN - SCOPUS:84957639110

SN - 3540656413

SN - 9783540656418

VL - 1557

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 85

EP - 95

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

PB - Springer Verlag

T2 - 4th International ACPC Conference on Parallel Computation, ACPC 1999

Y2 - 16 February 1999 through 18 February 1999

ER -