A Study on Solution Accuracy Improvement of Ill-posed Linear Systems Arranged by Means of Discrete Wavelets
B207 離散系Waveletを用いた不適切線形システム行列要素ソーティングによる解精度向上の検討

Hisashi ENDO, Toshiyuki TAKAGI
2006 Transactions of Visualization Society of Japan  
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
more » ... ching method (GVSPM). As a result, we have found that lower order Wavelet bases perform efficient analysis and higher accuracy of solutions.
doi:10.3154/jvs.26.supplement1_153 fatcat:dpd3ftyp7nd25oeqfqlvb6myia