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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...
Let A be a ntimesn complex matrix associated with f(2)=zn+a1zn-1+...+an-1z+an, W(A)={x*Ax:xisinCn|x=1}denotes the numerical range of A . In this paper, we discuss the properties of the Kippenhahn curve CR(A) firstly, and then discuss the necessary condition of W(A) being an elliptic disc by means of the Kronecker product of matrices and the Kippenhahn curve CR(A).
In many physical applications, we must solve a system of linear equations AXB=C. We know that the Kronecker product can get a convenient representation for linear equations AXB=C. In this paper, let A and C be deoted 4times4 reducible companion matrices. We study the property of the Kippenhahn curve CR(C) and of the numerical rang W(A) being an elliptic disc by making use of matrices Kronecker product...
In this paper, we study some properties of the Kippenhahn curve CR(C) and the numerical rang W(A) (A is 4 times 4 reducible companion matrices) being an elliptic disc by making use of matrices Kronecker product and the Kippenhahn curve CR(C).
Let A be a ntimesn complex matrix associated with f(z)=zn+a1zn-1+...+an-1z+an. Then the numerical range of A is defined to be W(A)={x* Ax:xisinCm /|x|=1}. In this paper, we study some properties of the Kippenhahn curve CR(A) firstly, and then discuss the necessary condition of W(A) (A is 4times4 reducible companion matrices) being an elliptic disc by making use of matrices Kronecker product and the...
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