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DOI: 10.4230/DagSemProc.04401.14
URN: urn:nbn:de:0030-drops-1526
URL: https://drops.dagstuhl.de/opus/volltexte/2005/152/
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Wasilkowski, Gregorz W. ; Wozniakowski, Henryk

Polynomial-Time Algorithms for Multivariate Linear Problems with Finite-Order Weights; Worst Case Setting

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Abstract

We present polynomial-time algorithms for multivariate problems defined over tensor product
spaces of finite order. That is, algorithms that solve the problem with error not exceeding \epsilon
at cost bounded by C d^q \epsilon^{-1}, where
d denotes the number of variables.

BibTeX - Entry

@InProceedings{wasilkowski_et_al:DagSemProc.04401.14,
  author =	{Wasilkowski, Gregorz W. and Wozniakowski, Henryk},
  title =	{{Polynomial-Time Algorithms for Multivariate Linear Problems with Finite-Order Weights; Worst Case Setting}},
  booktitle =	{Algorithms and Complexity for Continuous Problems},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{4401},
  editor =	{Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2005/152},
  URN =		{urn:nbn:de:0030-drops-1526},
  doi =		{10.4230/DagSemProc.04401.14},
  annote =	{Keywords: Multivariate integration , multivariate approximation , complexity , polynomial-time algorithms , finite-order weights}
}

Keywords: Multivariate integration , multivariate approximation , complexity , polynomial-time algorithms , finite-order weights
Collection: 04401 - Algorithms and Complexity for Continuous Problems
Issue Date: 2005
Date of publication: 19.04.2005


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