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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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 ...
Câmara, M. Cristina +1 more
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Is every matrix similar to a Toeplitz matrix?
Linear Algebra and its Applications, 1999 A Toeplitz canonical form for nonderogatory matrices is established. It is proved that every \(n\times n\) complex nonderogatory matrix is similar to a unique unit upper Hessenberg Toeplitz matrix. The answer to the question whether every matrix is similar to some Toeplitz matrix is yes for \(4 \times 4\) and smaller matrices.
Mackey, D.Steven +2 more
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Improved efficiency of vibration-based sound power computation through multi-layered radiation resistance matrix symmetry [PDF]
JASA Express Letters, 2022 Computing sound power using complex-valued surface velocities involves using a geometry-dependent acoustic radiation resistance matrix multiplied by a velocity vector to compute sound power for a given frequency range.
John C. Ebeling +4 more
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Preconditioned Lanczos Methods for the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix [PDF]
, 2000 In this paper, we apply the preconditioned Lanczos (PL) method to compute the minimum eigenvalue of a symmetric positive definite Toeplitz matrix. The sine transform-based preconditioner is used to speed up the convergence rate of the PL method.
Ng, KP
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Efficient Implementation for SBL-Based Coherent Distributed mmWave Radar Imaging
Remote Sensing, 2023 In a distributed frequency-modulated continuous waveform (FMCW) radar system, the echo data collected are not continuous in the azimuth direction, so the imaging effect of the traditional range-Doppler (RD) algorithm is poor.
Fengzhou Dai +3 more
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Block Toeplitz operators with frequency-modulated semi-almost periodic symbols
International Journal of Mathematics and Mathematical Sciences, 2003 This paper is concerned with the influence of frequency modulation on the semi-Fredholm properties of Toeplitz operators with oscillating matrix symbols.
A. Böttcher, S. Grudsky, I. Spitkovsky
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RIPless Based Radar Waveform Analysis in Sparse Microwave Imaging
Leida xuebao, 2013 The echo data can be modeled as the product of the Toeplitz matrix and reflectivity of the observed scene. The row of the Toeplitz matrix is the time-shift of the transmitted signal.
Zhao Yao +3 more
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Applications and generalizations of Fisher-Hartwig asymptotics
, 2004 Fisher-Hartwig asymptotics refers to the large $n$ form of a class of Toeplitz determinants with singular generating functions. This class of Toeplitz determinants occurs in the study of the spin-spin correlations for the two-dimensional Ising model, and
Baik J. +30 more
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On decomposition of k-tridiagonal ℓ-Toeplitz matrices and its applications
Special Matrices, 2015 We consider a k-tridiagonal ℓ-Toeplitz matrix as one of generalizations of a tridiagonal Toeplitz matrix. In the present paper, we provide a decomposition of the matrix under a certain condition.
Ohashi A., Sogabe T., Usuda T.S.
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