2019/02/27 by A. A. Alikhanov, Anatoly A. Alikhanov, Alikhanov, A. A. +13
Computer Science · Mathematics · Medicine · Physics and Astronomy · #Advanced MRI Techniques and Applications #Advanced X-ray Imaging Techniques #FOS: Mathematics #Medical Imaging Techniques and Applications #Numerical Analysis (math.NA) #cs.NA #math.NA
paper · pdf · doi:10.48550/arxiv.1902.10559
10 pages, 2 figures
openalex publication_date 2019/02/27 · arxiv created 2019/08/29 · arxiv updated 2019/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new method for solving systems of linear algebraic equations of a special type arising in solving problems of image reconstruction has been proposed. This method, due to a certain symmetry of the matrix and the choice of the voxel numeration method for two-dimensional problems, allows us to divide the initial system of algebraic equations into two independent systems, which enables us to carry out the calculation in parallel. The dimension of the matrices of the resulting systems is 4 times less than the dimension of the original matrix, and these matrices are less dispersed.