Journal of the Visualization Society of Japan
Online ISSN : 1884-037X
Print ISSN : 0916-4731
ISSN-L : 0916-4731
A Study on Solution Accuracy Improvement of Ill-posed Linear Systems Arranged by Means of Discrete Wavelets
Hisashi ENDOToshiyuki TAKAGI
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2006 Volume 26 Issue Supplement1 Pages 153-154

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Abstract
This paper discusses the improvement of an ill-posed linear system solutions concerning with multidimensional field distribution problems. The discrete Wavelet transforms arrange the system matrix as well as input vector to solve, compressing the data density to mother wavelets. This transformed system reduces the effects of a vector representing multidimensional data. An inverse source problem in magnetic field is taken up to compare the solutions given by generalized vector sampled pattern matching method (GVSPM). As a result, we have found that lower order Wavelet bases perform efficient analysis and higher accuracy of solutions.
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