3 papers
math.NA2026
Hybrid GKB Methods for X-Ray Tomography Problems with Unmatched Back Projector
Abdulmajeed Alsubhi, Rosemary Renaut
X ray Computed Tomography (CT) is a widely used imaging modality in medical, industrial, and scientific applications. In practical CT implementations, forward, A, and back projecti…
math.NA2024
Split Bregman Isotropic and Anisotropic Image Deblurring with Kronecker Product Sum Approximations using Single Precision Enlarged-GKB or RSVD Algorithms to provide low rank truncated SVDs
Abdulmajeed Alsubhi, Rosemary Renaut
We consider the solution of the regularized image deblurring problem using isotropic and anisotropic regularization implemented with the split Bregman algorithm. For large…
math.NA2024
Efficient Decomposition-Based Algorithms for -Regularized Inverse Problems with Column-Orthogonal and Kronecker Product Matrices
Brian Sweeney, Malena I. Español, Rosemary Renaut
We consider an -regularized inverse problem where both the forward and regularization operators have a Kronecker product structure. By leveraging this structure, a joint de…