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Abstract: We present algorithms for the detection of local non-smooth features within a dense matrix and show how, by isolating such features, we are able to use wavelet compression to design preconditioners for the corresponding dense linear system. We illustrate our approach with examples from the solution of Elastohydrodynamic Lubrication problems and Boundary Integral Equations. (Update)
Context of citations to this paper: More
.... This technique has been used to provide preconditioners both for dense matrices and for some sparse matrices (see, for example, [3, 4, 9, 8, 10, 14, 15]) A typical scenario is that of large divided di#erences close to the main diagonal with rapid decay as the distance from...
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BibTeX entry: (Update)
Judith Ford and Ke Chen. Wavelet-based preconditioners for dense matrices with non-smooth local features. BIT, 41(2):282-307, 2001. http://citeseer.ist.psu.edu/article/ford01waveletbased.html More
@article{ ford01waveletbased,
author = "J. Ford and K. Chen",
title = "Wavelet-based preconditioners for dense matrices with non-smooth local features",
journal = "BIT Numerical Mathematics",
volume = "41",
number = "2",
month = "????",
pages = "282--??",
year = "2001",
url = "citeseer.ist.psu.edu/article/ford01waveletbased.html" }
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