The Torus-Wrap Mapping for Dense Matrix Calculations on Massively Parallel Computers

Dense linear systems of equations are quite common in science and engineering, arising in boundary element methods, least squares problems, and other settings. Massively parallel computers will be necessary to solve the large systems required by scientists and engineers, and scalable parallel algorithms for the linear algebra applications must be devised for these machines. A critical step in these algorithms is the mapping of matrix elements to...