Necessary and sufficient conditions for the singularity of the pairwise l 1-distance matrix and their generalizationsстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:Given a system of points, we analyze the singularity
of its pairwise distance matrix and study generalizations
of this problem associated with applications in the
algebraic approach to pattern recognition problems.
Necessary and sufficient conditions are obtained under
which the dimension of the range of polynomials of
bounded degrees over the columns of this matrix is less
than the number of points in the system.