DocumentCode :
1027703
Title :
The inverse of a block-circulant matrix
Author :
De Mazancourt, T. ; Gerlic, D.
Author_Institution :
Lab. Central de Telecommunications, Velizy, France
Volume :
31
Issue :
5
fYear :
1983
fDate :
9/1/1983 12:00:00 AM
Firstpage :
808
Lastpage :
810
Abstract :
The inverse 
of a block-circulant matrix (BCM) 
is given in a closed form, by using the fact that a BCM is a combination of permutation matrices, whose eigenvalues and eigenvectors are found with the help of the complex roots of unity. Special results are also given when is block symmetric or symmetric.
of a block-circulant matrix (BCM) is given in a closed form, by using the fact that a BCM is a combination of permutation matrices, whose eigenvalues and eigenvectors are found with the help of the complex roots of unity. Special results are also given when is block symmetric or symmetric.Keywords :
Matrix inversion; Moment methods; Antennas and propagation; Electromagnetic scattering; Frequency; Inverse problems; Light scattering; Optical reflection; Rayleigh scattering; Slabs; Surface reconstruction; Testing;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/TAP.1983.1143132
Filename :
1143132
Link To Document :
