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21#
發(fā)表于 2025-3-25 04:17:51 | 只看該作者
https://doi.org/10.1057/9781137047809erization of the structure in terms of paths in the graph of the matrix and/or its triangular factors. Three path-preserving transformations — quotient graphs, edge pruning, and monotone transitive reduction — are used to further reduce the size/cost.
22#
發(fā)表于 2025-3-25 07:51:24 | 只看該作者
https://doi.org/10.1007/978-1-4684-2367-9merical computation. We study structure prediction for computations that involve nonsymmetric row and column permutations and nonsymmetric or non-square matrices. Our tools are bipartite graphs, matchings, and alternating paths..Our main new result concerns . factorization with partial pivoting. We
23#
發(fā)表于 2025-3-25 14:31:52 | 只看該作者
https://doi.org/10.1007/978-3-319-08876-1titioned representation of the inverse of the triangular matrix so that the solution can be computed by matrix-vector multiplication. The number of factors in the partitioned inverse is proportional to the number of general communication steps (router steps on a CM-2) required in a highly parallel a
24#
發(fā)表于 2025-3-25 18:09:12 | 只看該作者
25#
發(fā)表于 2025-3-25 21:11:48 | 只看該作者
26#
發(fā)表于 2025-3-26 01:10:51 | 只看該作者
27#
發(fā)表于 2025-3-26 06:48:59 | 只看該作者
t results from a wide variety of research areas. Parallel graph heuristics, convergence analysis, and basic linear algebra implementation issues must all be considered..In this paper, we discuss how we have incorporated these results into a general-purpose iterative solver. We present two recently d
28#
發(fā)表于 2025-3-26 09:23:53 | 只看該作者
29#
發(fā)表于 2025-3-26 13:46:45 | 只看該作者
Verity Saifullah Khan (Research Associate)l path in the algorithm; these results complement and reinforce that conclusion..For the sparse case, both theory and some new experimental measurements, reported here, make the same point: for column-oriented distributed methods, the number of gridpoints (which is .(.)) must grow as .. in order to
30#
發(fā)表于 2025-3-26 18:27:57 | 只看該作者
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