Polynomial interpolation and Gaussian quadrature for matrix valued functions

Details Polynomial interpolation and Gaussian quadrature for matrix valued functions Polynomial interpolation and Gaussian quadrature for matrix valued functions

1993-07-09

arxiv.org/abs/math/9307215v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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 can be used to get a quadrature
formula with the highest degree of precision.

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