Tyings in linear systems of equations modelled with positive and negative penalty functions

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dc.contributor.authorAskes, Harm
dc.contributor.authorPiercy, Stewart
dc.contributor.authorIlanko, Sinniah
dc.date.accessioned2009-07-22T22:46:27Z
dc.date.available2009-07-22T22:46:27Z
dc.date.issued2008
dc.description.abstractIn this short note, we focus on tyings (constraints that relate multiple degrees of freedom) modelled by means of penalty functions. In contrast to what is commonly thought, it is possible to obtain convergent results when negative penalty parameters are taken. A mathematical proof and an illustrating example are provided. In particular, we have proven that the results obtained with positive and negative penalty parameters enclose the exact solution from opposite sides. To this end, we have investigated a pseudo-force that is defined as the derivative of the constraint with respect to the inverse penalty parameter.en
dc.identifier.citationAskes, H., Piercy, S. & Ilanko, S. (2008). Tyings in linear systems of equations modelled with positive and negative penalty functions. Communications in Numerical Methods in Engineering, 24(11), 1163-1169.en
dc.identifier.doi10.1002/cnm.1023en
dc.identifier.urihttps://hdl.handle.net/10289/2700
dc.language.isoen
dc.publisherJohn Wiley & Sons Ltden_NZ
dc.relation.isPartOfCommunications in Numerical Methods in Engineeringen_NZ
dc.relation.urihttp://www3.interscience.wiley.com/journal/114286001/abstracten
dc.subjectconstraintsen
dc.subjecttyingsen
dc.subjectpenalty functionsen
dc.subjectlinear systemsen
dc.titleTyings in linear systems of equations modelled with positive and negative penalty functionsen
dc.typeJournal Articleen
pubs.begin-page1163en_NZ
pubs.elements-id34148
pubs.end-page1169en_NZ
pubs.issue11en_NZ
pubs.volume24en_NZ
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