Results 21 to 30 of about 279 (46)
Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices
Special Matrices, 2015 Our motivation was a paper of 1991 indicating three special unitary matrices that map Hermitian Toeplitz matrices by similarity into real Toeplitz-plus-Hankel matrices.
Abdikalykov A.K. +2 more
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ESPRIT for multidimensional general grids
, 2018 We present a new method for complex frequency estimation in several variables, extending the classical (1d) ESPRIT-algorithm. We also consider how to work with data sampled on non-standard domains (i.e going beyond multi-rectangles)
Andersson, Fredrik, Carlsson, Marcus
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A Family of Maximal Algebras of Block Toeplitz Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The maximal commutative subalgebras containing only Toeplitz matrices have been identified as generalized circulants. A similar simple description cannot be obtained for block Toeplitz matrices.
Khan Muhammad Ahsan
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, 2019 For all sufficiently large complex $\rho$, and for arbitrary matrix dimension $n$, it is shown that the Kac--Murdock--Szeg\H{o} matrix $K_n(\rho)=\left[\rho^{|j-k|}\right]_{j,k=1}^{n}$ possesses exactly two eigenvalues whose magnitude is larger than $n$.
Fikioris, George +1 more
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Matrix methods for Pad\'e approximation: numerical calculation of poles, zeros and residues
, 2018 A representation of the Pad\'e approximation of the $Z$-transform of a signal as a resolvent of a tridiagonal matrix $J$ is given. Several formulas for the poles, zeros and residues of the Pad\'e approximation in terms of the matrix $J$ are proposed ...
Perotti, Luca, Wojtylak, Michal
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On the spectrum of tridiagonal matrices with two-periodic main diagonal
Special MatricesWe find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
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Some Determinants Involving Incomplete Fubini Numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 We study some properties of restricted and associated Fubini numbers. In particular, they have the natural extensions of the original Fubini numbers in the sense of determinants.
Komatsu Takao, Ramírez José L.
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Eulerian polynomials as moments, via exponential Riordan arrays [PDF]
, 2011 Using the theory of exponential Riordan arrays and orthogonal polynomials, we demonstrate that the "descending power" Eulerian polynomials, and their once shifted sequence, are moment sequences for simple families of orthogonal polynomials, which we ...
Barry, Paul
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Determinants and Inverses of Ppoeplitz and Ppankel matrices
Special Matrices, 2018 In this paper, we consider two kinds of special matrices, which are called Ppoeplitz matrix and Ppankel matrix. The idea of matrix transformation is used to compute the determinants and inverses of the Ppoeplitz matrix and the Ppankel matrix.
Zuo Baishuai, Jiang Zhaolin, Fu Deqian
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Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic
, 2017 It was shown in a series of recent publications that the eigenvalues of $n\times n$ Toeplitz matrices generated by so-called simple-loop symbols admit certain regular asymptotic expansions into negative powers of $n+1$. On the other hand, recently two of
Barrera, Mauricio +3 more
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