Systolic algorithm for rational interpolation and Padé approximation

Murthy, V. K. ; Krishnamurthy, E. V. ; Chen, Pin (1992) Systolic algorithm for rational interpolation and Padé approximation Parallel Computing, 18 (1). pp. 75-83. ISSN 0167-8191

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0167-8191(92)90112-K

Abstract

This paper describes a systolic algorithm for rational interpolation based on Thiele's reciprocal differences. This algorithm constructs the continued fraction/Pade approximant of a stream of input data using a linear array of processors. The period of this algorithm is O(n+1) (where n+1 is the number of distinct points at which the function values are available) to produce an M/M Padé approximant ( M = n+1/2, n odd; M= n/2, n even) using n + 1 processors. For illustrative purpose the Connection Machine implementation of this systolic algorithm in CM Fortran is presented with an example.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Systolic Algorithm; Rational Interpolation; Padé Approximation; Connection Machine
ID Code:85933
Deposited On:06 Mar 2012 13:53
Last Modified:06 Mar 2012 13:53

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