Results 21 to 30 of about 2,334 (224)

An Improved Multiple-Toeplitz Matrices Reconstruction Algorithm for DOA Estimation of Coherent Signals [PDF]

Radioengineering, 2021
The Toeplitz matrix reconstruction algorithms exploit the row vector of an array output covariance matrix to reconstruct Toeplitz matrix, which provide the direction-of-arrival (DOA) estimation of coherent signals.
B. B. Qi, W. Li
doaj  

Online Spatiotemporally Constrained Reconstruction for Real-Time Interactive MRI. [PDF]

Magn Reson Med
ABSTRACT Purpose To develop a low‐latency dynamic MRI reconstruction that provides better spatial and temporal fidelity than contemporary online reconstruction, for localization. Methods We utilize online spatiotemporally constrained reconstruction (STCR) using a computationally efficient augmented Lagrangian solution and a limited number of iterations
Le DH, Kumar P, Yagiz E, Tian Y, Nayak KS.   +4 more
europepmc   +2 more sources

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
openaire   +2 more sources

A note on multilevel Toeplitz matrices

Special Matrices, 2019
Chien, Liu, Nakazato and Tam proved that all n × n classical Toeplitz matrices (one-level Toeplitz matrices) are unitarily similar to complex symmetric matrices via two types of unitary matrices and the type of the unitary matrices only depends on the ...
Cao Lei, Koyuncu Selcuk
doaj   +1 more source

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
openaire   +2 more sources

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
doaj   +1 more source

Optimization of Bipolar Toeplitz Measurement Matrix Based on Cosine-Exponential Chaotic Map and Improved Abolghasemi Algorithm [PDF]

Radioengineering, 2023
In compressive sensing theory, the measurement matrix plays a crucial role in compressive observation of sparse signals. The bipolar Toeplitz measurement matrix constructed based on chaotic map has advantages such as generating fewer free elements and ...
S. Meng, C. Meng, C. Wang, Q. Wang
doaj  

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
openaire   +2 more sources

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

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