Solving problems on concurrent processors
Solving problems on concurrent processors
Software pipelining: an effective scheduling technique for VLIW machines
PLDI '88 Proceedings of the ACM SIGPLAN 1988 conference on Programming Language design and Implementation
On one-sided Jacobi methods for parallel computation
SIAM Journal on Algebraic and Discrete Methods
Efficient implementation of Jacobi algorithms and Jacobi sets on distributed memory architectures
Journal of Parallel and Distributed Computing - Special issue: algorithms for hypercube computers
An Efficient Jacobi-Like Algorithm for Parallel Eigenvalue Computation
IEEE Transactions on Computers
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The communication cost plays a key role in the performance of many parallel algorithms. In the particular case of the one-sided Jacobi method for symmetric eigenvalue and eigenvector computation the communication cost of previously proposed algorithms is mainly determined by the particular ordering being used. In this paper we proposed two novel Jacobi orderings: the permuted-BR ordering and the degree-4 ordering, aimed at efficiently exploiting the multi-port capability of a hypercube. It is shown that the former is nearly optimal for some scenarios and the latter outperforms previously known orderings by a factor of two.