Results 41 to 50 of about 26,208 (246)
In this paper, our main attention is paid to calculate the determinants and inverses of two types Toeplitz and Hankel tridiagonal matrices with perturbed columns.
Fu Yaru +3 more
doaj +1 more source
A fourth-order cumulant orthonormal propagator rooting method based on Toeplitz approximation
A novel Toeplitz fourth-order cumulant (FOC) orthonormal propagator rooting method (TFOC ‐ OPRM) of direction-of-arrival (DOA) estimation for uniform linear array (ULA) is proposed in this paper. Specifically, the modified (i.e., reduced-dimension) FOC (
Heping Shi +4 more
doaj +1 more source
On Functions of quasi Toeplitz matrices
Let $a(z)=\sum_{i\in\mathbb Z}a_iz^i$ be a complex valued continuous function, defined for $|z|=1$, such that $\sum_{i=-\infty}^{+\infty}|ia_i|
Bini, Dario A. +2 more
core +1 more source
Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
wiley +1 more source
Inversion of Toeplitz Matrices with Only Two Standard Equations [PDF]
It is shown that the invertibility of a Toeplitz matrix can be determined through the solvability of two standard equations. The inverse matrix is represented by two of its columns (which are the solutions of the two standard equations), and the entries ...
Labahn, George, Shalom, Tamir
core +2 more sources
Online Spatiotemporally Constrained Reconstruction for Real‐Time Interactive MRI
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
Duc H. Le +4 more
wiley +1 more source
The centered difference discretization of the spatial fractional coupled nonlinear Schrödinger equations obtains a discretized linear system whose coefficient matrix is the sum of a real diagonal matrix D and a complex symmetric Toeplitz matrix T̃ which ...
Ruiping Wen, Peipei Zhao
doaj +1 more source
A Simple Proof of the Classification of Normal Toeplitz Matrices
We give an easy proof to show that every complex normal Toeplitz matrix is classified as either of type I or of type II. Instead of difference equations on elements in the matrix used in past studies, polynomial equations with coefficients of elements ...
Arimoto, Akio
core +1 more source
ABSTRACT Purpose Pediatric craniofacial imaging may involve examination of both the skull and brain tissues via CT and MRI, respectively. DREAMER (Dual Repetition and Echo Acquisition with Multi‐contrast Encoding and Reconstruction) simultaneously acquires solid‐ and soft‐tissue images, potentially providing a rapid, high‐resolution, and radiation‐free
Brian‐Tinh Duc Vu +8 more
wiley +1 more source
On the Toeplitz embedding of an arbitrary matrix
In the first part of the paper the authors give a thorough analysis of the various polynomials associated with the inverse of the upper left principal minors of a block Toeplitz matrix. This provides a unified framework for deriving the basic formulae of the Levinson and the Trench algorithms for inverting block Toeplitz matrices; in case of ordinary ...
Delsarte, P., Genin, Y., Kamp, Y.
openaire +1 more source

