The Altran system for rational function manipulation — a survey. Altran is a complete system for symbolic computation with rational functions in several variables with integer coefficients. It has been designed and implemented to handle large problems with ease and efficiency. Considerable effort has been spent to ensure a minimum amount of machine dependence in the implementation, thus permitting the system to be installed quickly and easily on a variety of computing machines. In this paper a brief description of the language, run time data structures, and implementation is given.

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  1. Monagan, Michael; Pearce, Roman: POLY: a new polynomial data structure for Maple 17 (2014)
  2. Monagan, Michael; Pearce, Roman: Sparse polynomial division using a heap (2011)
  3. Thissell, William R.; Mills, Patrick L.: Some applications of computerized symbolic manipulation in the analysis of chemical engineering systems (1991)
  4. Cools, Ronald; Haegemans, Ann: Construction of fully symmetric cubature formulae of degree 4k-3 for fully symmetric planar regions (1987)
  5. Pavlović, Milija N.; Sapountzakis, Evangelos J.: Computers and structures: Non-numerical applications (1986)
  6. Cherenack, P.: Conditions for cubic spline interpolation on triangular elements (1984)
  7. Rand, D.W.; Winternitz, P.: Computer-assisted classification of Lie subalgebras (1984)
  8. Sawyer, John W.jun.: First partial differentiation by computer with an application to categorical data analysis (1984)
  9. Conway, J.H.; Sloane, N.J.A.: The unimodular lattices of dimension up to 23 and the Minkowski-Siegel mass constants (1982)
  10. Hopkins, T.R.: On the sensitivity of the coefficients of Padé approximants with respect to their defining power series coefficients (1982)
  11. Leon, J.S.; Pless, V.; Sloane, N.J.A.: Self-dual codes over GF(5) (1982)
  12. Wambecq, A.: Solution of the equations associated with rational Runge-Kutta methods of orders up to four (1980)
  13. Blue, James L.: A Legendre polynomial integral (1979)
  14. Epstein, H.I.; Caviness, B.F.: A structure theorem for the elementary functions and its application to the identity problem (1979)
  15. Huffman, W.C.; Sloane, N.J.A.: Most primitive groups have messy invariants (1979)
  16. Milstein, Jaime; Bremermann, Hans J.: Parameter identification of the Calvin photosynthesis cycle (1979)
  17. Robertson, Neill: An ALTRAN program for finding a recursion formula for the Gegenbauer coefficients of a function (1979)
  18. Robertson, Neill: An ALTRAN program for finding a recursion formula for the Gegenbauer moments of a function (1979)
  19. MacWilliams, F.J.; Odlyzko, A.M.; Sloane, N.J.A.; Ward, H.N.: Self-dual codes over GF(4) (1978)
  20. Rink, R.A.: A procedure to obtain the initial amplitude and phase for the Krylov- Bogoliubov method (1977)

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