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Title: A heuristical algorithm for simple exponential analysis (English)
Author: Kindler, Evžen
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 18
Issue: 6
Year: 1973
Pages: 391-398
Summary lang: English
Summary lang: Czech
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Category: math
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Summary: 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. ()
MSC: 68T10
MSC: 68W99
MSC: 93-04
MSC: 93B30
idZBL: Zbl 0277.68064
DOI: 10.21136/AM.1973.103496
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Date available: 2008-05-20T17:57:22Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/103496
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Reference: [1] E. Kindler: Simple use of pattern recognition in experiment analysis.Kybernetika 5, No. 3, pp. 201-211, ACADEMIA, Prague 1969. Zbl 0169.21507
Reference: [2] : Automatic computer ODRA 1013 - General description.(in Czech), Kancelářské stroje, Hradec Králové, 1966.
Reference: [3] J. Sczepkowicz: Programming in the autocode MOST 1.(in Polish), Wroczlaw, Elwro, Publication 03-VI-1.
Reference: [4] O. J. Dahl K. Nygaard: SIMULA 67 common base definition.Norvegian computing center, Oslo 1967.
Reference: [5] E. Kindler F. Vítek: Automatic preparation of computer models.Acta Universitatis Carolinae medica 16, No 3/4, pp. 261-280, 1970.
Reference: [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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