P. G. Craven
Abstract
Algol 68 is a very suitable language for tackling problems which lie somewhere between numerical calculation and algebraic manipulation. An algorithm is presented which evaluates a function of n variables and its n partial derivatives using at most C.m operations, where m is the number of operations required to evaluate the function and C is a constant independent of n. By altering mode declarations, an ordinary piece of program text written to evaluate the function can be made instead to generate the expression tree required for calculation of derivatives.
- 1 D. Barton and J. P. Fitch, "A review of Algebraic Manipulative Programs and their application", Comp. J. Vol 15, No. 4, (1972) pp. 362-381.Google Scholar
Cross Ref
- 2 A. van Wijngaarden, B. J. Mailloux, J. E. L. Peck, C. H. A. Koster, M. Sintzoff, C. H. Lindsey, L. G. L. T. Meertens and R. G. Fisker, "Revised Report on the Algorithmic Language ALGOL 68", Springer-Verlag, (1976).Google ScholarCross Ref
Index Terms
- Derivatives without tears in Algol 68
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