A fast and accurate algorithm for solving Bernstein-Vandermonde linear sytem

Details A fast and accurate algorithm for solving Bernstein-Vandermonde linear sytem A fast and accurate algorithm for solving Bernstein-Vandermonde linear sytem

2006-05-22

arxiv.org/abs/math/0605577v2

Mathematics

Numerical Analysis

13 pages. We have extended the numerical experiments

Scientific paper

A fast and accurate algorithm for solving a Bernstein-Vandermonde linear
system is presented. The algorithm is derived by using results related to the
bidiagonal decomposition of the inverse of a totally positive matrix by means
of Neville elimination. The use of explicit expressions for the determinants
involved in the process serves to make the algorithm both fast and accurate.

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