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Orthogonal matrix polynomials, on the real line or on the unit circle, have properties which are natural generalizations of properties of scalar orthogonal polynomials, appropriately modified for the… Continue Reading
Abstract The techniques for polynomial interpolation and Gaussian quadrature are generalized to matrix-valued functions. It is shown how the zeros and rootvectors of matrix orthonormal polynomials… Continue Reading
Abstract Parallel versions of the block Chebyshev algorithm to generate the recursion coefficients of orthonormal matrix polynomials and the Gaussian quadrature algorithm to approximate matrix… Continue Reading