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| D.R. O'Hallaron, "Uniform Approach for Solving some Classical Problems on a Linear Array," IEEE Transactions on Parallel and Distributed Systems, vol. 2, no. 2, pp. 236-241, April, 1991. | |||
| BibTex | x | ||
| @article{ 10.1109/71.89068, author = {D.R. O'Hallaron}, title = {Uniform Approach for Solving some Classical Problems on a Linear Array}, journal ={IEEE Transactions on Parallel and Distributed Systems}, volume = {2}, number = {2}, issn = {1045-9219}, year = {1991}, pages = {236-241}, doi = {http://doi.ieeecomputersociety.org/10.1109/71.89068}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Parallel and Distributed Systems TI - Uniform Approach for Solving some Classical Problems on a Linear Array IS - 2 SN - 1045-9219 SP236 EP241 EPD - 236-241 A1 - D.R. O'Hallaron, PY - 1991 KW - Index Termslinear algebra; graph theory; algebraic path problem; matrix multiplication; matrixtriangularization; matrix transpose; unidirectional linear array; graph theory; linearalgebra; matrix algebra; parallel algorithms VL - 2 JA - IEEE Transactions on Parallel and Distributed Systems ER - | |||
It is shown that a number of classical problems from linear algebra and graph theory,including instances of the algebraic path problem, matrix multiplication, matrix triangularization, and matrix transpose, can be solved using the same basic recurrence. Asimple mapping of the recurrence onto a unidirectional linear array is discussed. Qualitative advantages to programming linear arrays using this approach include uniformity of design, simplicity of programming, and scalability to larger problems. The major disadvantage is that the resulting algorithms are not necessarily optimal.
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