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
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