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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 463, Pages 112–131 (Mi znsl6559)  
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
Full-text PDF (263 kB) Citations (1)
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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.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-08847
Received: 09.11.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 232, Issue 6, Pages 816–829
DOI: https://doi.org/10.1007/s10958-018-3911-0
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
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
Citation in format AMSBIB
\Bibitem{DemDegLeb17}
\by Yu.~K.~Dem'yanovich, V.~G.~Degtyarev, N.~A.~Lebedinskaya
\paper Adaptive wavelet decomposition of matrix flows
\inbook Computational methods and algorithms. Part~XXX
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 463
\pages 112--131
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6559}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 232
\issue 6
\pages 816--829
\crossref{https://doi.org/10.1007/s10958-018-3911-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85049149427}
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  • https://www.mathnet.ru/eng/znsl/v463/p112
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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