Results 51 to 60 of about 2,334 (224)

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, Mackey, Niloufer, Petrovic, Srdjan   +2 more
openaire   +2 more sources

Pulmonary Transit Time Can Be Accurately Quantified From Non‐Arterial Input Function Series in First‐Pass Cardiac Perfusion MRI

Magnetic Resonance in Medicine, Volume 95, Issue 4, Page 2207-2213, April 2026.
ABSTRACT Purpose Previous studies suggested that arterial‐input‐function (AIF) images are necessary to avoid signal saturation for pulmonary transit time (PTT) measurements. This study challenges that notion by investigating whether PTT can be accurately measured using blood pool signals from myocardial enhancement (non‐AIF) images during resting first‐
Mingyue Zhao, Lexiaozi Fan, Kyungpyo Hong, Benjamin H. Freed, Jacqueline Urban, Kelvin Chow, Li‐Yueh Hsu, Daniel C. Lee, Daniel Kim   +8 more
wiley   +1 more source

Memory-Saving Implementation of High-Speed Privacy Amplification Algorithm for Continuous-Variable Quantum Key Distribution

IEEE Photonics Journal, 2018
Privacy amplification is an indispensable procedure to share secure secret key between legitimate parties in quantum key distribution (QKD) because a portion of bits are still leaked to eavesdropper Eve after the secret reconciliation. Here, we propose a
Dengwen Li, Peng Huang, Yingming Zhou, Yuan Li, Guihua Zeng   +4 more
doaj   +1 more source

Fine Spectra of Symmetric Toeplitz Operators

Abstract and Applied Analysis, 2012
The fine spectra of 2-banded and 3-banded infinite Toeplitz matrices were examined by several authors. The fine spectra of n-banded triangular Toeplitz matrices and tridiagonal symmetric matrices were computed in the following papers: Altun, “On the fine
Muhammed Altun
doaj   +1 more source

Approximate inverse preconditioners for linear systems arising from spatial balanced fractional diffusion equations

AIMS Mathematics, 2023
We consider the preconditioned iterative methods for the linear systems arising from the finite volume discretization of spatial balanced fractional diffusion equations where the fractional differential operators are comprised of both Riemann-Liouville ...
Xiaofeng Guo, Jianyu Pan
doaj   +1 more source

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

Magnetic Resonance in Medicine, Volume 95, Issue 3, Page 1513-1527, March 2026.
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, Nada Kamona, Felix W. Wehrli, Rajiv S. Deshpande, Hee Kwon Song, Allison Hu, Emily Baccaglini, Scott P. Bartlett, Chamith S. Rajapakse   +8 more
wiley   +1 more source

Polynomial sequences generated by infinite Hessenberg matrices

Special Matrices, 2017
We show that an infinite lower Hessenberg matrix generates polynomial sequences that correspond to the rows of infinite lower triangular invertible matrices. Orthogonal polynomial sequences are obtained when the Hessenberg matrix is tridiagonal. We study
Verde-Star Luis
doaj   +1 more source

Visual Training Induced Temporo‐Occipital Fast Sleep Spindle Clustering in Humans Revealed by Full‐Night HD‐EEG Recordings

Journal of Sleep Research, Volume 35, Issue 1, February 2026.
ABSTRACT This study investigates the impact of extensive visual procedural training on the temporal organisation of sleep spindles in healthy young adults. We selected 39 participants aged 16–20 and employed high‐density electroencephalography to assess spindle characteristics during two full nights of sleep, with daytime practising in a contour ...
Patrícia Gerván, Gábor Bocskai, Andrea Berencsi, Ferenc Gombos, Ilona Kovács   +4 more
wiley   +1 more source

Modeling and Forecasting Stochastic Seasonality: Are Seasonal Autoregressive Integrated Moving Average Models Always the Best Choice?

Journal of Forecasting, Volume 45, Issue 1, Page 316-334, January 2026.
ABSTRACT In this paper, we study models for stochastic seasonality and compare the well‐known SARIMA models to Seasonal Autoregressive Unit Root Moving Average (SARUMA) models. SARUMA models assume that the polynomial of the stationarizing differencing operator has roots on the unit circle at some seasonal frequencies, while SARIMA models impose roots ...
Evangelos E. Ioannidis, Sofia‐Eirini Nikolakakou   +1 more
wiley   +1 more source

Trace of the Positive Integer Powers (n-1)-Tridiagonal Toeplitz Matrix n×n

JTAM (Jurnal Teori dan Aplikasi Matematika)
The trace of a matrix is obtained by summing the elements along the main diagonal of a square matrix. The matrix used in this study is a Toeplitz (n-1)-tridiagonal matrix of order n×n.
Fitri Aryani, Fitri Ambar Wati, Corry Corazon Marzuki, Zukrianto Zukrianto   +3 more
doaj   +1 more source