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Documents authored by Wasilkowski, Gregorz W.


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

Authors: Gregorz W. Wasilkowski and Henryk Wozniakowski

Published in: Dagstuhl Seminar Proceedings, Volume 4401, Algorithms and Complexity for Continuous Problems (2005)


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.

Cite as

Gregorz W. Wasilkowski and Henryk Wozniakowski. Polynomial-Time Algorithms for Multivariate Linear Problems with Finite-Order Weights; Worst Case Setting. In Algorithms and Complexity for Continuous Problems. Dagstuhl Seminar Proceedings, Volume 4401, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)


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@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/entities/document/10.4230/DagSemProc.04401.14},
  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}
}
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