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Polynomial algebra for Birkhoff interpolants

Published:2010-04-27 Issue:3 Volume:56 Page:319-347
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Butcher John C.,Corless Robert M.,Gonzalez-Vega Laureano,Shakoori Azar

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11075-010-9385-x.pdf

Reference40 articles.

1. Berriochoa, E., Cachafeiro, A.: Algorithms for solving Hermite interpolation problems using the Fast Fourier Transform. J. Comput. Appl. Math. (2009, in press)

2. Berrut, J.-P., Trefethen, L.N.: Barycentric Lagrange interpolation. SIAM Rev. 46(3), 501–517 (2004)

3. Bini, D.A., Gemignani, L., Pan, V.Y.: Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. Numer. Math. 100(3), 373–408 (2005). doi: 10.1007/s00211-005-0595-4

4. Birkhoff, G.D.: General mean value and remainder theorems with applications to mechanical differentiation and quadrature. Trans. Am. Math. Soc. 7(1), 107–136 (1906)

5. Brankin, R.W., Gladwell, I.: Shape-preserving local interpolation for plotting solutions of ODEs. IMA J. Numer. Anal. 9, 555–566 (1989)

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