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JOURNALS // Problemy Upravleniya // Archive

Probl. Upr., 2017 Issue 3, Pages 37–42 (Mi pu1028)

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Mathematical programming problems solving by functional voxel method

A. V. Tolok, N. B. Tolok

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow

Abstract: One of the approaches to mathematical programming problems solving by means of $R$-functional modeling is considered. Some functional voxel method tools are presented for the wide class of optimization problems computer solution using voxel algorithm of gradient descent. The illustrative examples of the computer calculations in comparison to non-computer solutions are given.

Keywords: $R$-function, $R$-functional modeling, voxel, local geometrical characteristics, the functional voxel method, functional voxel model, $M$-image, mathematical programming.

UDC: 681.3+771.537.442



© Steklov Math. Inst. of RAS, 2024