A Low-Complexity Quantum Simulation Framework for Toeplitz-Structured Matrix and Its Application in Signal Processing

MR Laskar, S Mondal, AK Dutta - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Toeplitz matrix reconstruction algorithms (TMRAs) are one of the central subroutines in array
processing for wireless communication applications. The classical TMRAs have shown …

Phase transition for the bottom singular vector of rectangular random matrices

Z Bao, J Lee, X Xu - arXiv preprint arXiv:2409.01819, 2024 - arxiv.org
In this paper, we consider the rectangular random matrix $ X=(x_ {ij})\in\mathbb {R}^{N\times
n} $ whose entries are iid with tail $\mathbb {P}(| x_ {ij}|> t)\sim t^{-\alpha} $ for some …

Outliers of perturbations of banded Toeplitz matrices

C Bordenave, F Chapon, M Capitaine - arXiv preprint arXiv:2410.16439, 2024 - arxiv.org
Toeplitz matrices form a rich class of possibly non-normal matrices whose asymptotic
spectral analysis in high dimension is well-understood. The spectra of these matrices are …

[PDF][PDF] Disordered semiclassical pseudo-differential operators: Spectral asymptotics, statistics and eigenvector (de-) localization

M Vogel - 2024 - theses.hal.science
Disordered semiclassical pseudo-differential operators: Spectral asymptotics, statistics and
eigenvector (de-)localization Page 1 HAL Id: tel-04614860 https://theses.hal.science/tel-04614860v1 …

Quantitative results for banded Toeplitz matrices subject to random and deterministic perturbations

S O'Rourke, PM Wood - Linear Algebra and its Applications, 2023 - Elsevier
We consider the eigenvalues of a fixed, non-normal matrix subject to a small additive
perturbation. In particular, we consider the case when the fixed matrix is a banded Toeplitz …