Results 11 to 20 of about 1,649 (181)

Coil Sketching for Fast and Efficient 4D Lung MRI Reconstruction. [PDF]

Magn Reson Med
ABSTRACT Purpose To develop and evaluate a memory‐efficient and accelerated reconstruction framework for respiratory‐resolved 4D lung MRI using coil sketching and Toeplitz approximation, enabling high‐quality motion‐compensated low‐rank (MoCo‐LR) reconstructions on clinically accessible GPU hardware.
Plummer JW, Daudé P, Tsakirellis A, Taylor J, Moss J, Ramasawmy R, Javed A, Campbell-Washburn AE.   +7 more
europepmc   +2 more sources

Matrix Representations of Asymmetric Truncated Toeplitz Operators [PDF]

Bulletin of the Malaysian Mathematical Sciences Society, 2020
AbstractIn this paper, we describe the matrix representations of asymmetric truncated Toeplitz operators acting between two finite-dimensional model spaces$$K_1$$K1and$$K_2$$K2. The novelty of our approach is that here we consider matrix representations computed with respect to bases of different type in$$K_1$$K1and$$K_2$$K2(for example, kernel basis ...
Joanna Jurasik, Bartosz Łanucha
openaire   +1 more source

Toeplitz-like preconditioner for linear systems from spatial fractional diffusion equations [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2021
‎The article deals with constructing Toeplitz-like preconditioner for linear systems arising from finite difference discretization of the spatial fractional diffusion equations‎. ‎The coefficient matrices of these linear systems have an $S+L$ structure‎,
N. Akhoundi
doaj   +1 more source

Toeplitz matrix completion via a low-rank approximation algorithm

Journal of Inequalities and Applications, 2020
In this paper, we propose a low-rank matrix approximation algorithm for solving the Toeplitz matrix completion (TMC) problem. The approximation matrix was obtained by the mean projection operator on the set of feasible Toeplitz matrices for every ...
Ruiping Wen, Yaru Fu
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Finding the closest Toeplitz matrix [PDF]

Computational & Applied Mathematics, 2003
The constrained least-squares n × n-matrix problem where the feasibility set is the subspace of the Toeplitz matrices is analyzed. The general, the upper and lower triangular cases are solved by making use of the singular value decomposition. For the symmetric case, an algorithm based on the alternate projection method is proposed.
Eberle, Maria Gabriela, Maciel, Maria Cristina   +1 more
openaire   +3 more sources

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

Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol [PDF]

Journal of Operator Theory, 2017
Truncated Toeplitz operators and their asymmetric versions are studied in the context of the Hardy space $H^p$ of the half-plane for ...
Câmara, M. Cristina, Partington, Jonathan R.   +1 more
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

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
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