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. Asadi, Mohammadali; Brandt, Alexander; Moir, Robert H. C.; Moreno Maza, Marc: Sparse polynomial arithmetic with the BPAS library (2018)
  2. Monagan, Michael; Pearce, Roman: POLY: a new polynomial data structure for Maple 17 (2014)
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  4. Fateman, Richard: Comparing the speed of programs for sparse polynomial multiplication (2003)
  5. Thissell, William R.; Mills, Patrick L.: Some applications of computerized symbolic manipulation in the analysis of chemical engineering systems (1991)
  6. Cools, Ronald; Haegemans, Ann: Construction of fully symmetric cubature formulae of degree 4k-3 for fully symmetric planar regions (1987)
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  8. Cherenack, P.: Conditions for cubic spline interpolation on triangular elements (1984)
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  10. Sawyer, John W. jun.: First partial differentiation by computer with an application to categorical data analysis (1984)
  11. Barnes, E. S.; Sloane, N. J. A.: The optimal lattice quantizer in three dimensions (1983)
  12. Conway, J. H.; Sloane, N. J. A.: The unimodular lattices of dimension up to 23 and the Minkowski-Siegel mass constants (1982)
  13. Hopkins, T. R.: On the sensitivity of the coefficients of Padé approximants with respect to their defining power series coefficients (1982)
  14. Leon, J. S.; Pless, V.; Sloane, N. J. A.: Self-dual codes over GF(5) (1982)
  15. van Hulzen, J. A.; Calmet, J.: Computer algebra systems (1982)
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  17. Blue, James L.: A Legendre polynomial integral (1979)
  18. Epstein, H. I.; Caviness, B. F.: A structure theorem for the elementary functions and its application to the identity problem (1979)
  19. Huffman, W. C.; Sloane, N. J. A.: Most primitive groups have messy invariants (1979)
  20. Milstein, Jaime; Bremermann, Hans J.: Parameter identification of the Calvin photosynthesis cycle (1979)

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