Group-Theoretic Partial Matrix Multiplication

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dc.creatorBowen, Richard Strong
dc.creatorChen, Bo
dc.creatorOrem, Hendrik
dc.creatorvan Schaardenburg, Martijn
dc.date2009-02-13
dc.date.accessioned2026-07-07T12:42:04Z
dc.date.available2026-07-07T12:42:04Z
dc.descriptionA generalization of recent group-theoretic matrix multiplication algorithms to an analogue of the theory of partial matrix multiplication is presented. We demonstrate that the added flexibility of this approach can in some cases improve upper bounds on the exponent of matrix multiplication yielded by group-theoretic full matrix multiplication. The group theory behind our partial matrix multiplication algorithms leads to the problem of maximizing a quantity representing the "fullness" of a given partial matrix pattern. This problem is shown to be NP-hard, and two algorithms, one optimal and another non-optimal but polynomial-time, are given for solving it.
dc.description14 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0902.2407
dc.identifierhttp://arxiv.org/abs/0902.2407
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219952
dc.subjectComputational Complexity
dc.subjectSymbolic Computation
dc.titleGroup-Theoretic Partial Matrix Multiplication
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