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dc.contributor.authorAskes, Harm
dc.contributor.authorIlanko, Sinniah
dc.date.accessioned2014-01-15T22:54:38Z
dc.date.available2014-01-15T22:54:38Z
dc.date.copyright2006-10-08
dc.date.issued2006
dc.identifier.citationAskes, H., & Ilanko, S. (2006). The use of negative penalty functions in linear systems of equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 462(2074), 2965-2975.en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/8398
dc.description.abstractContrary to what is commonly thought, it is possible to obtain convergent results with negative (rather than positive) penalty functions. This has been shown and proven on various occasions for vibration analysis, but in this contribution it will also be shown and proven for systems of linear equations subjected to one or more constraints. As a key ingredient in the developed arguments, a pseudo-force is identified as the derivative of the constrained degree of freedom with respect to the inverse of the penalty parameter. Since this pseudo-force can be proven to be constant for large absolute values of the penalty parameter, it follows that the exact solution is bounded by the results obtained with negative and positive penalty parameters. The mathematical proofs are presented and two examples are shown to illustrate the principles.en_NZ
dc.language.isoenen_NZ
dc.publisherRoyal Societyen_NZ
dc.relation.ispartofProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
dc.relation.urihttp://rspa.royalsocietypublishing.org/content/462/2074/2965.fullen_NZ
dc.subjectconstrainten_NZ
dc.subjectpenalty functionen_NZ
dc.subjectasymptotic modellingen_NZ
dc.titleThe use of negative penalty functions in linear systems of equationsen_NZ
dc.typeJournal Articleen_NZ
dc.identifier.doi10.1098/rspa.2006.1716en_NZ
dc.relation.isPartOfRoyal Society of London. Proceedings. Mathematical, Physical and Engineering Sciencesen_NZ
pubs.begin-page2965en_NZ
pubs.elements-id34156
pubs.end-page2975en_NZ
pubs.issue2074en_NZ
pubs.volume462en_NZ


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