Results 1 to 10 of about 4,117 (168)
Not every matrix is similar to a Toeplitz matrix
Linear Algebra and Its Applications, 2001 The inverse eigenvalue problem in matrix calculus is considered. It is known that such a problem is always solvable in a class of Toeplitz matrices and, in particular, of real symmetric Toeplitz matrices [cf. \textit{P. Delsarte} and \textit{Y. Genin}, Lect. Notes Control Inf. Sci. 58, 194-213 (1984; Zbl 0559.15017); \textit{H. J. Landau}, J. Am. Math.
Georg Heinig
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Fast Computation of the Matrix Exponential for a Toeplitz Matrix [PDF]
SIAM Journal on Matrix Analysis and Applications, 2018 The computation of the matrix exponential is a ubiquitous operation in numerical mathematics, and for a general, unstructured $n\times n$ matrix it can be computed in $\mathcal{O}(n^3)$ operations. An interesting problem arises if the input matrix is a Toeplitz matrix, for example as the result of discretizing integral equations with a time invariant ...
Daniel Kressner, Robert Luce
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Every Matrix is a Product of Toeplitz Matrices [PDF]
Foundations of Computational Mathematics, 2015 18 ...
Ke Ye, Lek-Heng Lim
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Linear Algebra and its Applications, 1992 Let be \(T_{ij}:=(2\pi\sigma^ 2)^{-1/2}\exp[-(i-j)^ 2/(2\sigma^ 2)]\) for \(i,j=0,1,\dots,N-1\). The authors prove that the matrix \(T:=[T_{ij}]\) is positive definite for all values of \(\sigma>0\) and \(N\geq 1\). Analytic expressions are given for the Cholesky decomposition \(T=LL^ T\), for the determinant of \(T\), and for the inverse \(T^{-1 ...
Pasupathy, J, Damodar, RA
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An explicit formula for the inverse of a pentadiagonal Toeplitz matrix
Journal of Computational and Applied Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chaojie Wang, Hongyi Li, Di Zhao
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Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol [PDF]
Journal of Operator Theory, 2017 Truncated Toeplitz operators and their asymmetric versions are studied in the context of the Hardy space $H^p$ of the half-plane for ...
Camara, MC, Partington, JR
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Isometries of the Toeplitz matrix algebra
Journal of Mathematical Analysis and Applications, 2016 We study the structure of isometries defined on the algebra $\mathcal{A}$ of upper-triangular Toeplitz matrices. Our first result is that a continuous multiplicative isometry $\mathcal{A}\to M_n$ must be of the form either $A\mapsto UAU^*$ or $A\mapsto U\overline AU^*$, where $\overline A$ is the complex conjugation and $U$ is a unitary matrix.
Farenick, Douglas +2 more
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Matrix-valued Berezin-Toeplitz quantization [PDF]
Journal of Mathematical Physics, 2007 We generalize some earlier results on a Berezin-Toeplitz type of quantization on Hilbert spaces built over certain matrix domains. In the present, wider setting, the theory could be applied to systems possessing several kinematic and internal degrees of freedom.
Ali, S.-T., Engliš, M. (Miroslav)
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Source Enumeration via Toeplitz Matrix Completion [PDF]
ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2020 This paper addresses the problem of source enumeration by an array of sensors in the presence of noise whose spatial covariance structure is a diagonal matrix with possibly different variances, referred to non-iid noise hereafter, when the sources are uncorrelated.
Vaibhav, Garg +3 more
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Explicit inverse of a tridiagonal k−Toeplitz matrix [PDF]
Numerische Mathematik, 2005 The paper presents explicit expressions for the entries of the inverse of a tridiagonal \(k\)-Toeplitz matrix \(A\). Conditions for the existence of \(A^{-1}\) are obtained from an explicit expression of the characteristic polynomial of \(A\). The results presented in the paper extend known results for the case when the residue \(\operatorname {mod} k\)
Fonseca, C. M. da, Petronilho, J.
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