Obtaining a banded system of equations in complete spline interpolation problem via B-spline basis

• Autorzy: Yuriy Volkov
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Complete spline; Interpolation; B-splines; Banded system of equations

Kategorie tematyczne

• 65D07: Splines
• 65D05: Interpolation
• 65D15: Algorithms for functional approximation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 1
• Strony: 352-356

Daty

wydano

2012-02-01

online

2011-12-09

Twórcy

autor

Yuriy Volkov

• Siberian Branch of the Russian Academy of Sciences

Bibliografia

• [1] Ahlberg J.H., Nilson E.N., Walsh J.L., The Theory of Splines and their Applications, Academic Press, New York-London, 1967
• [2] de Boor C., A Practical Guide to Splines, Appl. Math. Sci., 27, Springer, New York, 2001
• [3] Schumaker L.L., Spline Functions: Basic Theory, 3rd ed., Cambridge Math. Lib., Cambridge University Press, Cambridge, 2007 http://dx.doi.org/10.1017/CBO9780511618994
• [4] Volkov Yu.S., Totally positive matrices in the methods of constructing interpolation splines of odd degree, Siberian Adv. Math., 2005, 15(4), 96–125
• [5] Zav’yalov Yu.S., Kvasov B.I., Miroshnichenko V.L., Methods of Spline-Functions, Nauka, Moscow, 1980 (in Russian)

Identyfikatory

DOI

10.2478/s11533-011-0104-1