DOI

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.

Язык оригиналаанглийский
Страницы (с-по)816-829
Число страниц14
ЖурналJournal of Mathematical Sciences (United States)
Том232
Номер выпуска6
Дата раннего онлайн-доступа28 июн 2018
DOI
СостояниеОпубликовано - 1 авг 2018

    Предметные области Scopus

  • Теория вероятности и статистика
  • Математика (все)
  • Прикладная математика

ID: 35268106