ALTRAN

Authors:
W. S. Brown;A. D. Hall
Affiliations:
Bell Telephone Laboratories, Murray Hill, N. J.;Bell Telephone Laboratories, Murray Hill, N. J.
Venue:
ACM SIGSAM Bulletin
Year:
1972

Citing 3
Cited 4

The Altran system for rational function manipulation — a survey

Communications of the ACM
Problem #2 - the Y2n functions

ACM SIGSAM Bulletin
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Solution to problem #2: with "a subroutine package for polynomial manipulation" (Polman)

ACM SIGSAM Bulletin
One users's one-algorithm comparison of six algebraic systems on the Y2n-problem

ACM SIGSAM Bulletin
Factored rational expressions in ALTRAN

ACM SIGSAM Bulletin
A brief description of Altran

ACM SIGSAM Bulletin

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Abstract

J. A. Campbell [1] has proposed the computation of his Y2n polynomials as a challenging problem for symbolic algebra systems. These polynomials are defined by a recurrence formula involving summations over two and four indices, and a special differentiation rule. Since the number of terms in Y2n grows almost exponentially, large amounts of time and memory are required for large values of n.