Generalized Hermite formula for the two-sided Lagrange-Sylvester interpolation

DOI10.1016/j.cam.2004.03.018zbMath1080.65009OpenAlexW1965166561MaRDI QIDQ1765265

Zhenghong Yang, Yong-jian Hu, Gong-Ning Chen

Publication date: 23 February 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.03.018

zbMATH Keywords

Lagrange formulamatrix polynomialpolynomial interpolationMcMillan degreeVandermonde-type matrixHermite formulatwo-sided Lagrange-Sylvester interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Cites Work

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• Matrix polynomial solutions of tangential Lagrange-Sylvester interpolation conditions of low McMillan degree
• The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions
• Errata to: Two-sided tangential interpolation of real rational matrix functions
• Lagrange's formula for tangential interpolation with application to structured matrices
• The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions. III: The infinitely many data case
• Hermite's formula for vector polynomial interpolation with applications to structured matrices
• Multiple Nevanlinna-Pick interpolation with both interior and boundary data and its connection with the power moment problem

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