Results 21 to 30 of about 1,649 (181)

Matrix Valued Truncated Toeplitz Operators: Basic Properties [PDF]

Complex Analysis and Operator Theory, 2017
Matrix valued truncated Toeplitz operators act on vector-valued model spaces. They represent a generalization of block Toeplitz matrices. A characterization of these operators analogue to the scalar case is obtained, as well as the determination of the symbols that produce the zero operator.
Khan, Rewayat, Timotin, Dan
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Toeplitz nonnegative realization of spectra via companion matrices

Special Matrices, 2019
The nonnegative inverse eigenvalue problem (NIEP) is the problem of finding conditions for the existence of an n × n entrywise nonnegative matrix A with prescribed spectrum Λ = {λ1, . . ., λn}.
Collao Macarena, Salas Mario, Soto Ricardo L.   +2 more
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The Gaussian Toeplitz matrix

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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Companion matrices and their relations to Toeplitz and Hankel matrices

Special Matrices, 2015
In this paper we describe some properties of companion matrices and demonstrate some special patterns that arisewhen a Toeplitz or a Hankel matrix is multiplied by a related companion matrix.We present a necessary and sufficient condition, generalizing ...
Luo Yousong, Hill Robin
doaj   +1 more source

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, Ian C. Bacon, Trent P. Bates, Scott D. Sommerfeldt, Jonathan D. Blotter   +4 more
doaj   +1 more source

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, Mastnak, Mitja, Popov, Alexey I.   +2 more
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Procrustes Problems for General, Triangular, and Symmetric Toeplitz Matrices

Journal of Applied Mathematics, 2013
The Toeplitz Procrustes problems are the least squares problems for the matrix equation AX=B over some Toeplitz matrix sets. In this paper the necessary and sufficient conditions are obtained about the existence and uniqueness for the solutions of the ...
Juan Yang, Yuan-bei Deng
doaj   +1 more source

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 ...
Kressner, Daniel, Luce, Robert
openaire   +3 more sources

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, Yuhang Li, Yuanyuan Wang, Hao Chen   +3 more
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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, Zhang Bing-chen, Hong Wen, Wu Yi-rong   +3 more
doaj   +1 more source