We study the problem of interpolation by a complete spline of 2n − 1 degree given in B-spline representation. Explicit formulas for the first nand the last ncoefficients of B-spline decomposition are found. It is shown that other B-spline coefficients can be computed as a solution of a banded system of an equitype linear equations.
@article{bwmeta1.element.doi-10_2478_s11533-011-0104-1,
author = {Yuriy Volkov},
title = {Obtaining a banded system of equations in complete spline interpolation problem via B-spline basis},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {352-356},
zbl = {1246.65031},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0104-1}
}
Yuriy Volkov. Obtaining a banded system of equations in complete spline interpolation problem via B-spline basis. Open Mathematics, Tome 10 (2012) pp. 352-356. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0104-1/
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