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arxiv: math/0605577 · v2 · pith:JJP7WJPTnew · submitted 2006-05-22 · 🧮 math.NA · cs.NA

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

classification 🧮 math.NA cs.NA
keywords algorithmaccuratefastbernstein-vandermondelinearsolvingbidiagonaldecomposition
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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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