Michael K. Ng

TL;DR: A two-step preconditioning strategy based on the banded matrix approximation (BMA) and the alternating direction implicit (ADI) iteration for these Sinc–Galerkin systems is presented and it is shown that the two- Step Preconditioner is symmetric positive definite, and the condition number of the preconditionsed matrix is bounded by the convergence factor of the involved ADI iteration.

TL;DR: Extensive experiments on HSIs denoising demonstrate that the exact and inexact methods both outperform comparing methods in quantitative evaluation metrics and visual effects, and the inexact PAM can compromise between the accuracy and efficiency for large scale HSIs.

TL;DR: This work examines the convergence characteristics of the GMRES method with circulant-like block preconditioning for solvingonsymmetric linear systems of algebraic equations which are small rank perturbations of block band-Toeplitz matrices from discretization of time-dependent PDEs.

TL;DR: The development of a model‐independent delay‐invariant deconvolution technique using least‐absolute‐deviation (LAD) regularization to improve the CBF estimation accuracy and initial clinical implementation of the method on six representative clinical cases confirm the advantages of the LAD method over rSVD and sSVD methods.

TL;DR: In this article, a transformed tensor nuclear norm method combined with total variational (TV) regularization is proposed for low-rank tensor completion with different degradations for third-order tensors, and its global convergence is established under very mild conditions.