TY - JOUR

T1 - Adaptive Wavelet Decomposition of Matrix Flows

AU - Dem’yanovich, Yu. K.

AU - Degtyarev, V. G.

AU - Lebedinskaya, N. A.

N1 - Dem’yanovich, Y.K., Degtyarev, V.G. & Lebedinskaya, N.A. Adaptive Wavelet Decomposition of Matrix Flows. J Math Sci 232, 816–829 (2018). https://doi.org/10.1007/s10958-018-3911-0

PY - 2018/8/1

Y1 - 2018/8/1

N2 - Adaptive algorithms for constructing spline-wavelet decompositions of matrix flows from a linear space of matrices over a normed field are presented. The algorithms suggested provides for an a priori prescribed estimate of the deviation of the basic flow from the initial one. Comparative bounds of the volumes of data in the basic flow for various irregularity characteristics of the initial flow are obtained in the cases of pseudo-equidistant and adaptive grids. Limit characteristics of the above-mentioned volumes are given in the cases where the initial flow is generated by differentiable functions.

AB - Adaptive algorithms for constructing spline-wavelet decompositions of matrix flows from a linear space of matrices over a normed field are presented. The algorithms suggested provides for an a priori prescribed estimate of the deviation of the basic flow from the initial one. Comparative bounds of the volumes of data in the basic flow for various irregularity characteristics of the initial flow are obtained in the cases of pseudo-equidistant and adaptive grids. Limit characteristics of the above-mentioned volumes are given in the cases where the initial flow is generated by differentiable functions.

UR - http://www.scopus.com/inward/record.url?scp=85049149427&partnerID=8YFLogxK

U2 - 10.1007/s10958-018-3911-0

DO - 10.1007/s10958-018-3911-0

M3 - Article

AN - SCOPUS:85049149427

VL - 232

SP - 816

EP - 829

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -