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Since symmetric r-circulant matrices have wide application, such as in numerical computation, signal processing, coding theory and oil investigation people have pay more and more attention to them in recent years. In this paper, motivated by, we give some discriminations by using only the elements in the first row of the symmetric r-circulant matrix on non singularity, and show the feasibility of...
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...
Since the good properties and structure of the FLS r-circulant matrices, they have wide application, such as in the generalized cyclic codes. In this paper, motivated by [1], we give some discriminations by using only the elements in the first row of the FLS r-circulant matrix on non singularity, give an example at last and show the feasibility of these methods by the example.
The system of linear equations AtimesB = C has widely applications. The Kronecker product can get a convenient representation for linear equations AtimesB = C. Let A be 4 times 4 reducible companion matrix. In this paper, we study some properties of the Kippenhahn curve CR (C) and discuss whether the numerical rang W(A) is an elliptic disc by making use of matrices Kronecker product and the Kippenhahn...
Permutation factor circulant matrices have wide application, such as in signal processing, numerical computation, coding theory and oil investigation and so on. In this paper, we present a fast algorithm for the K Production 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 at last.
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