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Mathematics of Computation

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Solution of Vandermonde systems of equations

Authors: Ȧke Björck and Victor Pereyra
Journal: Math. Comp. 24 (1970), 893-903
MSC: Primary 65.35
MathSciNet review: 0290541
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Abstract: We obtain in this paper a considerable improvement over a method developed earlier by Ballester and Pereyra for the solution of systems of linear equations with Vandermonde matrices of coefficients. This is achieved by observing that a part of the earlier algorithm is equivalent to Newton’s interpolation method. This allows also to produce a progressive algorithm which is significantly more efficient than previous available methods. Algol-60 programs and numerical results are included. Confluent Vandermonde systems are also briefly discussed.

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Keywords: Vandermonde systems, confluent Vandermonde systems
Article copyright: © Copyright 1970 American Mathematical Society