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A heuristical algorithm for simple exponential analysis
Applications of Mathematics, Tome 18 (1973) no. 6, pp. 391-398
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An algorithm is presented in ALGOL 60 which automatizes the heuristical work of an investigator determining graphically properties of sums of exponential functions. The algorithm processes a set of experimental points so that it approximates them by a sum of positive decreasing exponential functions. It determines not only the parameters of them (i.e. both the coefficients in the exponents and the multiplicative ones which form the linear combination) but also the number of exponential functions, which is in a certain sense optimal with regard to the dispersion of the input values.
An algorithm is presented in ALGOL 60 which automatizes the heuristical work of an investigator determining graphically properties of sums of exponential functions. The algorithm processes a set of experimental points so that it approximates them by a sum of positive decreasing exponential functions. It determines not only the parameters of them (i.e. both the coefficients in the exponents and the multiplicative ones which form the linear combination) but also the number of exponential functions, which is in a certain sense optimal with regard to the dispersion of the input values.
DOI : 10.21136/AM.1973.103496
Classification : 68T10, 68W99, 93-04, 93B30 
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Kindler, Evžen. A heuristical algorithm for simple exponential analysis. Applications of Mathematics, Tome 18 (1973) no. 6, pp. 391-398. doi: 10.21136/AM.1973.103496

[1] E. Kindler: Simple use of pattern recognition in experiment analysis. Kybernetika 5, No. 3, pp. 201-211, ACADEMIA, Prague 1969. | Zbl

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[5] E. Kindler F. Vítek: Automatic preparation of computer models. Acta Universitatis Carolinae medica 16, No 3/4, pp. 261-280, 1970.

[6] E. Kindler: L'intelligence artificielle et détermination de modèle. (in French). Materials of the International congress on natural and artificial intelligences (Nice, 1971). Published in REMESTA 1972/4, pp. 16-27, Prague 1972.

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