Geodesic
A splitting algorithm for wavelet transforms of the Hermite splines of the seventh degree
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 18 (2015) no. 4, pp. 453-467

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In this paper, an implicit method of decomposition of $7$-th degree Hermite splines to a series of “lazy” wavelets with displaced supports is investigated. A splitting algorithm for wavelet transforms of solving four five-diagonal systems of linear equations with a strict diagonal dominance in parallel is justified. Results of numerical experiments on exactness for polynomials and on compression of spline-wavelet decomposition are presented. 
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     author = {B. M. Shumilov},
     title = {A splitting algorithm for wavelet transforms of the {Hermite} splines of the seventh degree},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {453--467},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2015_18_4_a8/}
}
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B. M. Shumilov. A splitting algorithm for wavelet transforms of the Hermite splines of the seventh degree. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 18 (2015) no. 4, pp. 453-467. http://geodesic.mathdoc.fr/item/SJVM_2015_18_4_a8/