Abstract. For Toeplitz matrices associated with degree 3 and 4 uniform B-spline interpolation, the inverse may be analytically known, saving the standard inverse calculations. It generalizes to any degree as a row of the Eulerian numbers triangle.

Received: March 22, 2012

AMS Subject Classification: 15B05, 11C20, 13F25

Key Words and Phrases: B-spline, Toeplitz matrices, polylogarithm, power series

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 77
Issue: 1

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