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Anti-circulant matrices have become one of the most important and active research field in recent years since the special structure and many good properties of them, they have applied in numerical computation, signal processing, coding theory and oil investigation in recent years, and so on. In this paper, we discuss the inverse problem of anti-circulant matrices, and give a simpler and more useful...
Let A be an n x n r-Circulant matrices. The r-circulant matrices have wide application in numerical computation, molecular vibration, image process, signal processing, coding theory, low-density parity-check codes and oil investigation etc in recent years. Motivated by [Wang Jinlin, Y I Fuxia (2008)], in this paper, by using elementary transformation of row and column, we present a fast cogredient...
Permutation factor circulant matrices have been applied widely in numerical computation, signal processing, coding theory and oil investigation in recent years, and so on. In this paper, we present a fast algorithm for the k-th root of permutation factor circulant matrices of order n by the fast Fourier transform (FFT), and give a numerical example in order to show the effectiveness of our algorithm...
Circulant matrix is important since it is an active research field of applied mathematic and computation mathematic increasingly. R-circulant matrices have applied in numerical computation, signal processing, coding theory and oil investigation in recent years, and so on. In this paper, we give some discriminations by using only the elements in the first row of the r-circulant matrix on non singularity,...
Permutation factor circulant matrices have applied in numerical computation, signal processing, coding theory and oil investigation in recent years, and so on. In this paper, we present a fast algorithm for the production and the k-th power of permutation factor circulant matrices of order n.
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