### Abstract

This paper introduces a parallel algorithm for computing an N = n!-point Lagrange interpolation on an n-star (n>2). It exploits several communication techniques on stars in a novel way which can be adapted for computing similar functions. The algorithm is optimal and consists of three phases: initialization, main and final. While there is no computation in the initialization phase, the main phase is composed of n!/2 steps, each consisting of four multiplications, four subtractions and one communication operation, and an additional step including one division and one multiplication. The final phase is carried out in (n-1) sub-phases each with O(log n) steps where each step takes three communications and one addition.

Original language | English |
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Title of host publication | Proceedings of the International Parallel Processing Symposium, IPPS |

Publisher | IEEE |

Pages | 777-782 |

Number of pages | 6 |

Publication status | Published - 2000 |

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### ASJC Scopus subject areas

- Hardware and Architecture

### Cite this

*Proceedings of the International Parallel Processing Symposium, IPPS*(pp. 777-782). IEEE.