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A parallel algorithm for singular value decomposition as applied to failure tolerant manipulators

dc.contributor.authorMaciejewski, Anthony A., author
dc.contributor.authorBraun, Tracy D., author
dc.contributor.authorSiegel, Howard Jay, author
dc.contributor.authorIEEE, publisher
dc.date.accessioned2007-01-03T08:09:36Z
dc.date.available2007-01-03T08:09:36Z
dc.date.issued1999
dc.description.abstractThe system of equations that govern kinematically redundant manipulators is commonly solved by finding the singular value decomposition (SVD) of the corresponding Jacobian matrix. This can require considerable amounts of time to compute, thus a parallel SVD algorithm minimizing execution time is sought. The approach employed here lends itself to parallelization by using Givens rotations and information from previous decompositions. The key contributions of this research include the presentation and implementation of a new variation of a parallel SVD algorithm to compute the SVD for a set of post-fault Jacobians. Results from implementation of the algorithm on a MasPar MP-1 and an IBM SP2 are provided. Specific issues considered for each implementation include how data is mapped to the processing elements, the effect that increasing the number of processing elements has on execution time, and the type of parallel architecture used.
dc.format.mediumborn digital
dc.format.mediumproceedings (reports)
dc.identifier.bibliographicCitationBraun, Tracy D., Anthony A. Maciejewski, and Howard Jay Siegel, A Parallel Algorithm for Singular Value Decomposition as Applied to Failure Tolerant Manipulators, [13th International Parallel Processing Symposium & 10th Symposium on Parallel and Distributed Processing: IPPS/SPDP 1999: Proceedings: April 12-16, 1999, San Juan, Puerto Rico: 343-349].
dc.identifier.urihttp://hdl.handle.net/10217/67378
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relation.ispartofFaculty Publications
dc.rights©1999 IEEE.
dc.rightsCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
dc.titleA parallel algorithm for singular value decomposition as applied to failure tolerant manipulators
dc.typeText

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