Generalized Hermite formula for the two-sided Lagrange–Sylvester interpolation
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摘要
The classical Hermite formula of the scalar polynomial interpolation is generalized to the setting of two-sided Lagrange–Sylvester interpolation for matrix polynomials. The formula then is applied to a description of the set of all matrix polynomial solutions to that two-sided interpolation.
论文关键词：65F05,15A09,Lagrange–Sylvester interpolation,Matrix polynomial,Lagrange formula,Hermite formula,Vandermonde-type matrix,McMillan degree
论文评审过程：Received 20 June 2003, Revised 28 February 2004, Available online 1 June 2004.
论文官网地址：https://doi.org/10.1016/j.cam.2004.03.018
