This article is cited in 8 papers

Research papers

On complete interpolation spline finding via $B$-splines

Yu. S. Volkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We discuss a problem of interpolation by a complete spline of $2n-1$ degree given in $B$-spline representation. It is shown that the first $n$ and the last $n$ coefficients of $B$-spline decomposition are under explicit formulas and other coefficients can be found as a solution of a banded system of an equitype linear equations.

Keywords: complete spline, interpolation, $B$-splines.

UDC: 519.65

MSC: 65D

Received November 26, 2007, published August 2, 2008

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