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SIAM J. Numer. Anal. 48, pp. 1984-1999 (16 pages)

Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra

L. Bos, S. De Marchi, A. Sommariva, and M. Vianello

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We discuss and compare two greedy algorithms that compute discrete versions of Fekete-like points for multivariate compact sets by basic tools of numerical linear algebra. The first gives the so-called approximate Fekete points by QR factorization with column pivoting of Vandermonde-like matrices. The second computes discrete Leja points by LU factorization with row pivoting. Moreover, we study the asymptotic distribution of such points when they are extracted from weakly admissible meshes.

© 2010 Society for Industrial and Applied Mathematics

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PUBLICATION DATA

ISSN

0036-1429 (print)  
1095-7170 (online)

ARTICLE DATA

History
Received December 03, 2009
Accepted September 08, 2010
Published online November 30, 2010

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