Technical Report CS0660

TR#:CS0660
Class:CS
Title: NEW ALGORITHM,S FOR POLYNOMIAL AND TRIGONOMETRIC INTERPOLATION ON PARALLEL COMPUTERS
Authors: Ilan Bar-On and Avram Sidi
PDFCS0660.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.
CopyrightThe above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information

Remark: Any link to this technical report should be to this page (http://www.cs.technion.ac.il/users/wwwb/cgi-bin/tr-info.cgi/1990/CS/CS0660), rather than to the URL of the PDF files directly. The latter URLs may change without notice.

To the list of the CS technical reports of 1990
To the main CS technical reports page

Computer science department, Technion
admin