Results 41 to 50 of about 1,649 (181)
A preconditioned fast collocation method for a linear bond-based peridynamic model
Advances in Difference Equations, 2020 We develop a fast collocation method for a static bond-based peridynamic model. Based on the analysis of the structure of the stiffness matrix, a fast matrix-vector multiplication technique was found, which can be used in the Krylov subspace iteration ...
Xuhao Zhang +3 more
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Berezin-Toeplitz Quantization over Matrix Domains
, 2007 28 pages, no ...
Ali, S.-T., Engliš, M. (Miroslav)
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Magnetic Resonance in Medicine, Volume 95, Issue 5, Page 2702-2717, May 2026.ABSTRACT Purpose To achieve high resolution (≤ 1 mm isotropic) whole‐brain perfusion imaging at 7 T with next generation ASL pulse sequence, reconstruction algorithm, and MRI hardware. Methods We capitalized on three major innovations: (1) FLASH‐based pseudo‐Continuous ASL (pCASL) sequence with rotated golden‐angle stack‐of‐spirals (rGA‐SoS) sampling; (
Chenyang Zhao +8 more
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The Inverses of Block Toeplitz Matrices
Journal of Mathematics, 2013 We study the inverses of block Toeplitz matrices based on the analysis of the block cyclic displacement. New formulas for the inverses of block Toeplitz matrices are proposed.
Xiao-Guang Lv, Ting-Zhu Huang
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Matrix representations of Toeplitz-plus-Hankel matrix inverses
Linear Algebra and its Applications, 1989 Some matrix representations for the inverses of Toeplitz-plus-Hankel \((T+H)\) matrices are given as well as for \(T+H\)-Bézoutians introduced before by the authors. This representation is given as sum of products of triangular \(T+H\)-matrices. The conditions for these inverses are determined by some columns and rows of the inverse matrix or by ...
Heinig, Georg, Rost, Karla
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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 +8 more
wiley +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
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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 +4 more
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Existence and Uniqueness Theorems for One Infinite System of Nonlinear Algebraic Equations
Известия Иркутского государственного университета: Серия "Математика", 2023 We study a infinite system of algebraic equations with monotone nonlinearities and with an infinite Toeplitz type matrix. This system has applications in discrete problems of the dynamical theory of $p$-adic open-closed strings, the kinetic theory of ...
Kh.A. Khachatryan, H.S. Petrosyan
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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 +2 more
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