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Abstract: In this note we discover and prove some interesting and important relations among sub-matrices of Sylvester matrices and triangular toeplitz matrices. The main result is Hill's identity disc...
Recently, the statistical restricted isometry property (RIP) has been formulated to analyze the performance of deterministic sampling matrices for compressed sensing.
We derive the general expression of the powers of one type of banded Toeplitz matrices.
The problem of the description of finite factor representations of the infinite-dimensional unitary group, investigated by Voiculescu in 1976, is equivalent to the description of all totally positive...
We study a minimum problem and associated maximum problem for finite, complex, self-adjoint Toeplitz matrices. If A is such a matrix, of size (N + 1)-by-(N + 1), we identify A with the operator it rep...
We generalize some recent results on the spectra of tridiagonal matrices, providing explicit expressions for the characteristic polynomial of some perturbed tridiagonal k-Toeplitz matrices. The calcul...
Newton's iteration is modified for the computation of the group inverses of singular Toeplitz matrices. At each iteration, the iteration matrix is approximated by a matrix with a low displacement ra...
In this study, we have given the definition of almost Cauchy-Toeplitz matrix. i.e. its elements are tij= a(i=j) and tij=1/(i-j)\, (i\neq j) such that a is a real number. We have found a lower and uppe...

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