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Mathematics of Computation

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A geometric proof of total positivity for spline interpolation

Authors: C. de Boor and R. DeVore
Journal: Math. Comp. 45 (1985), 497-504
MSC: Primary 41A15; Secondary 65D07
MathSciNet review: 804938
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Abstract: Simple geometric proofs are given for the total positivity of the B-spline collocation matrix and the variation diminishing property of the B-spline representation of a spline.

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Keywords: Spline interpolation, total positivity, variation diminishing
Article copyright: © Copyright 1985 American Mathematical Society