Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 1(4), pp. 109 - 117
DOI: 10.13189/ujcmj.2013.010401
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"Lazy" Wavelets of Hermite Quintic Splines and a Splitting Algorithm

Boris M. Shumilov ^1,*, Ulukbek S. Ymanov ^2
1 Applied Mathematics Department, Tomsk State University of Architecture and Building, Tomsk, 634003, Russia
² Business & Management Faculty, Osh State University, Osh, 723500, Kyrgyzstan

ABSTRACT

In this article two new types of wavelet bases for Hermite quintic splines are offered. The algorithm of wavelet decomposition as the solution of three systems of the linear equations, from which one system is three-diagonal with strict diagonal domination and two other systems are four-diagonal, is received.

KEYWORDS
Hermite Splines, Wavelets, Relations of Decomposition and Restoration

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Boris M. Shumilov , Ulukbek S. Ymanov , ""Lazy" Wavelets of Hermite Quintic Splines and a Splitting Algorithm," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 1, No. 4, pp. 109 - 117, 2013. DOI: 10.13189/ujcmj.2013.010401.

(b). APA Format:
Boris M. Shumilov , Ulukbek S. Ymanov (2013). "Lazy" Wavelets of Hermite Quintic Splines and a Splitting Algorithm. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 1(4), 109 - 117. DOI: 10.13189/ujcmj.2013.010401.