Results 131 to 140 of about 4,117 (168)

On Drazin inverse of singular Toeplitz matrix

Applied Mathematics and Computation, 2006
The authors study the Drazin inverse of the following \((n+1) \times (n+1)\) singular complex Toeplitz matrix \(M=\left(\begin{smallmatrix} A & c \\ b^{\ast } & d \end{smallmatrix}\right)\) where \(A\) is a \(n\times n\) complex Toeplitz matrix, \(b\) and \(c\) are \(1\times n\) vectors; \(b^{\ast }\) denotes the complex conjugate transpose of \(b ...
Yimin Wei, Huaian Diao, Michael K Ng
exaly   +4 more sources

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A Hermitian Toeplitz matrix is unitarily similar to a real Toeplitz-plus-Hankel matrix

IEEE Transactions on Signal Processing, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D M Wilkes, S D Morgera, Fazal Noor
exaly   +2 more sources

A symmetric rank-revealing toeplitz matrix decomposition

Journal of VLSI signal processing systems for signal, image and video technology, 1996
Summary: In signal and image processing, regularization often requires a rank-revealing decomposition of a symmetric Toeplitz matrix with a small rank deficiency. In this paper, we present an efficient factorization method that exploits symmetry as well as the rank and Toeplitz properties of the given matrix.
Franklin T. Luk, Sanzheng Qiao
openaire   +3 more sources

A Bound for the Inverse of a Lower Triangular Toeplitz Matrix

SIAM Journal on Matrix Analysis and Applications, 2003
The author obtains an explicit bound, namely, \(\| A_n^{-1}\| _{\infty }\leq \frac{2}{a}+\frac{1}{a_0}\) of the inverse of a lower triangular Toeplitz matrix \(A_n=(a_{ij})\) with \(a_{ij}=a_{i-j}\), inf \(a_k=a>0\), \(a_k>0\), \(a_{k+1}-a_k\leq 0\), and shows how this result can be used in the study of numerical stability of some linear methods ...
Antonia Vecchio
exaly   +4 more sources

Matrix-Valued Truncated Toeplitz Operators: Unbounded Symbols, Kernels and Equivalence After Extension [PDF]

Integral Equations and Operator Theory, 2022
This paper studies matrix-valued truncated Toeplitz operators, which are a vectorial generalisation of truncated Toeplitz operators. It is demonstrated that, although there exist matrix-valued truncated Toeplitz operators without a matrix symbol in Lp ...
Ryan O’Loughlin
exaly   +2 more sources

TOEPLITZ BASES IN MATRIX FIELDS

Analysis, 1988
The authors establish several criteria in order that the family of unit vectors \((e^ k)_{k\geq 1}\) should be a Toeplitz T-basis in a matrix field \(E_ A\), where T is a lower triangular matrix and E is a BK-space. Firstly, they give a characterization theorem in general hypotheses.
Jakimovski, Amnon, Russell, Dennis, Stieglitz, Michael   +2 more
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Matrix rigidity of random Toeplitz matrices

computational complexity, 2016
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Oded Goldreich 0001, Avishay Tal
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Efficient inversion of Toeplitz-block Toeplitz matrix

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1983
An iterative algorithm for the inversion of a Toeplitz-block Toeplitz matrix consisting of \(m\times m\) blocks of size \(p\times p\) is described. The algorithm presented exploits the spectrum of the Toeplitz-block Toeplitz matrix and outperforms \textit{H. Akaike}'s algorithm [see SIAM J. Appl. Math. 24, 234-241 (1973; Zbl 0234.65039)] by a factor of
Wax, Mati, Kailath, Thomas
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On the reconstruction of Toeplitz matrix inverses from columns

Linear Algebra and Its Applications, 2002
In this paper we discuss the problem whether and how the inverse of a Toeplitz matrix can be recovered from some of its columns or parts of columns under the requirement that only 2n−1 parameters are involved.
Georg Heinig
exaly   +2 more sources