WebMar 12, 2024 · We propose an adaptive scheme to reduce communication overhead caused by data movement by selectively storing the diagonal blocks of a block-Jacobi …
Basic Iterative Methods
WebMay 30, 2024 · In the model that runs with the Jacobian-free method, the block Jacobi preconditioning gives 1.6 times speedup and reduces the number of function evaluations … WebMar 25, 2024 · Modifications to the Jacobi algorithm are presented, cutting the matrix into blocks to allow register-based pivoting in batched CUDA factorization kernels and, for … rebecca checkley galop
Overlapping block methods for solving tridiagonal …
WebPreconditioning via a block-Jacobi scheme is a particu-larly simple technique that produces an effective acceleration of the iterative solve for some problem instances [3]. One option to realize block-Jacobi preconditioning requires to: 1) Extract multiple small-sized diagonal blocks of the sparse coefficient matrix of the linear system and WebAug 18, 2024 · Since in the block-Jacobi method M is a block-diagonal submatrix of A, N = M - A will generally have less nonzero elements than A. This means that the IR-induced … WebCustomized Precision Block-Jacobi Preconditioning 10 20 30 40 50 60 70 Test matrices 100 105 Block diagonal conditioning 1010 10 20 30 40 50 60 70 Test matrices 100 101 102 CG Iteration overhead double prec. block-Jacobi single prec. block-Jacobi half prec. block-Jacobi Overhead compared to double precision algorithm. Smaller is better! university of minnesota mankato bookstore