Results 41 to 50 of about 26,208 (246)

Analytic determinants and inverses of Toeplitz and Hankel tridiagonal matrices with perturbed columns

open access: yesSpecial Matrices, 2020
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

open access: yesEURASIP Journal on Wireless Communications and Networking, 2020
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

open access: yes, 2016
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

A compatibility criterion for optimal control and information aggregation in hierarchical network systems

open access: yesAsian Journal of Control, EarlyView.
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]

open access: yes, 1990
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

open access: yesMagnetic Resonance in Medicine, EarlyView.
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

A medium-shifted splitting iteration method for a diagonal-plus-Toeplitz linear system from spatial fractional Schrödinger equations

open access: yesBoundary Value Problems, 2018
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

open access: yes, 2002
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

DREAMER: Rapid and Simultaneous Multiple Contrast Magnetic Resonance Imaging of Solid and Soft Tissue

open access: yesMagnetic Resonance in Medicine, EarlyView.
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

open access: yesLinear Algebra and its Applications, 1983
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

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