Journal ArticleDOI
The inverse of a block-circulant matrix
T. De Mazancourt,D. Gerlic +1 more
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In this paper, 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.Abstract:
The inverse A^{-1} of a block-circulant matrix (BCM) A 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 A is block symmetric or symmetric.read more
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Low-Complexity Modem Design for GFDM
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Dual constrained TV-based regularization on graphs
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Steady-state dynamic temperature analysis and reliability optimization for embedded multiprocessor systems
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Journal ArticleDOI
Inversion of block-circulant matrices and circular array approach
TL;DR: In this paper, closed-form expressions of the inverse of a block-circulant matrix (BCM) are derived following two alternative procedures, which are based on the discrete Fourier transform (DFT).
References
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Journal ArticleDOI
Block Toeplitz Matrix Inversion
TL;DR: In this article, an iterative procedure for the inversion of a block Toeplitz matrix is given, and the use of the procedure in time series analysis is briefly explained.