Abstract:
Polynomial factorization of spectral bases is studied, expressing polynomial factorization as the representation of a system of spectral functions defined by an integral discrete transformation matrix in the form of the Kronecker product of matrices of reduced dimension. Such a representation is helpful in expressing an ordered system of functions by a unified formula in a base of binary operations. An algorithm for polynomial factorization of matrices, its theoretical principles, and results of an experiment are presented.
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