Об одном алгоритме исследования систем бидинейных уравнений

Abstract

An algorithm for finding nontrivial solutions of homogeneous systems of bilinear equations that reduces them to linear objectives is proposed in this article. The growth of the sizes of linear systems for the parameters of the initial problems currently allows us to solve them for a small number of initial equations. In this paper, we investigate one bilinear system related to the problem of affine homogeneity. The algorithm is implemented in the symbolic mathematics package Maple.