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Matrix factorization of multivariate Bernstein polynomials
(Journal article; Peer reviewed; Tidsskriftartikkel, 2015)
Ordinary univariate Bernstein polynomials can be represented in matrix form using factor matrices. In this paper we present the definition and basic properties of such factor matrices extended from the univariate case to the general case of arbitrary number of variables by using barycentric coordinates in the hyper-simplices of respective dimension. The main results in the paper are related to the ...