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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 463, Pages 112–131
(Mi znsl6559)
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This article is cited in 1 scientific paper (total in 1 paper)
Adaptive wavelet decomposition of matrix flows
Yu. K. Dem'yanovicha, V. G. Degtyarevb, N. A. Lebedinskayaa a St. Petersburg State University, St. Petersburg, Russia
b Emperor Alexander I St. Petersburg State Transport University, St. Petersburg, Russia
Abstract:
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 original one. Comparative bounds of the volumes of data in the basic flow for various irregularity characteristics of the original flow are obtained in the cases of pseudouniform and adaptive meshes. Limit characteristics of the above-mentioned volumes are given in the cases where the original flow is generated by differentiable functions.
Key words and phrases:
signal processing, matrix flows, calibration relations, adaptive spline-wavelets.
Received: 09.11.2017
Citation:
Yu. K. Dem'yanovich, V. G. Degtyarev, N. A. Lebedinskaya, “Adaptive wavelet decomposition of matrix flows”, Computational methods and algorithms. Part XXX, Zap. Nauchn. Sem. POMI, 463, POMI, St. Petersburg, 2017, 112–131; J. Math. Sci. (N. Y.), 232:6 (2018), 816–829
Linking options:
https://www.mathnet.ru/eng/znsl6559 https://www.mathnet.ru/eng/znsl/v463/p112
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Abstract page: | 116 | Full-text PDF : | 29 | References: | 22 |
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