Polynomial interpolation and Gaussian quadrature for matrix valued functions

1993/07/09 by Van Assche, Walter, Sinap, Ann · 2 citations
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.math/9307215

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

Cited by

• Finite biorthogonal M matrix polynomials
• A probabilistic quantum algorithm for Lyapunov equations and matrix inversion

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