E3S Web Conf.
Volume 210, 2020Innovative Technologies in Science and Education (ITSE-2020)
|Number of page(s)||13|
|Section||Organic Farming and Soil Management|
|Published online||04 December 2020|
Mathematical models and soil fertility management software
Federal State Budgetary Scientific Institution "Federal Scientific Agroengineering Center VIM”, 109428, RF, Moscow, 1 st Institutskiy proezd, 5
1 Corresponding author: firstname.lastname@example.org
The article presents the results of studies on parametric approximation in spaces R2 (functions of one variable), R3 (functions of two variables) and Rn(n>3) (functions of three or more variables). Various classes of functions satisfying a priori conditions were studied: f(0, 0, 0)=0, , ci = cont. Working algorithms and C/C++ software functioning in Microsoft Visual Studio 2019 system in Microsoft Windows 10 environment were developed. The main studies of the authors were aimed at developing effective computational algorithms for constructing approximating functions of two variables from various given classes of three-dimensional data samples (three-dimensional interconnected time series). The article provides a detailed description of the problem statement, introduces classes of approximating functions, provides algorithms for estimating the parameters of approximating functions and a description of the software. The estimation algorithm considered in the article is constructed according to the scheme of the coordinate descent method with optimization of the step length (Gauss-Seidel method).
© The Authors, published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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