Title :
Application of a wavelet transform in eigenvalue problems for electromagnetic field computations
Author :
Shao, K.R. ; Yang, J.C. ; Lavers, J.D.
Author_Institution :
Dept. of Electr. Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China
fDate :
9/1/2001 12:00:00 AM
Abstract :
In this paper, we present the wavelet transform (WT) method to reduce the dimension of a matrix without sacrificing too much precision on eigenvalues. By using the WT, the original matrix is split into two matrices, with each being a quarter the size of the original one. One of the derived matrices contains the smaller eigenvalues, while the other has larger ones. Moreover, this procedure can be taken successively, one can have a series of reduced order matrices
Keywords :
computational complexity; eigenvalues and eigenfunctions; electromagnetic field theory; wavelet transforms; derived matrices; eigenvalue problems; electromagnetic field computations; matrix; reduced order matrices; wavelet transform; Eddy currents; Eigenvalues and eigenfunctions; Electromagnetic fields; Equations; Frequency; Low pass filters; Matrix decomposition; Sparse matrices; Transmission line matrix methods; Wavelet transforms;
Journal_Title :
Magnetics, IEEE Transactions on
