A Hilbert-order multiplication scheme for unstructured sparse matrices
International Journal of Parallel, Emergent and Distributed Systems
A new family of global methods for linear systems with multiple right-hand sides
Journal of Computational and Applied Mathematics
Combining smoother and residual calculation in v-cycle AMG for symmetric problems
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part I
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This paper is concerned with the solution of a linear system with multiple right-hand sides. Such problems arise from nonlinear, time-dependent, inverse, or optimization problems. In order to solve these problems efficiently we use block variants of the conjugate gradient method and combine them with cache aware algorithms. Further, we describe the acceleration of algebraic multigrid (AMG) methods by using such cache aware algorithms. Finally, numerical studies are presented that show the high efficiency of the proposed methods.