TR#: | CS0660 |

Class: | CS |

Title: | NEW ALGORITHM,S FOR POLYNOMIAL AND TRIGONOMETRIC INTERPOLATION ON PARALLEL COMPUTERS |

Authors: | Ilan Bar-On and Avram Sidi |

CS0660.pdf | |

Abstract: | An interpolation polynomial of order N is constructed from p independent subpolynomials of order n '" Nip. Each such subpolynomial is found independently and in parallel. Moreover, evaluation of the polynomial at any given point is done independently and in parallel, except for a final step of summation of p elements. Hence, the algorithm has almost no commu,nication overhead and can be implemented easily on any parallel computer. We give examples of finite-difference interpolation, trigonometric interpola'tion, and Chebyshev interpolation, and conclude with the general Hermite interpolation problem. |

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