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dc.contributor.authorWang, Song
dc.contributor.authorZhang, K.
dc.date.accessioned2018-08-08T04:41:11Z
dc.date.available2018-08-08T04:41:11Z
dc.date.created2018-08-08T03:50:45Z
dc.date.issued2018
dc.identifier.citationWang, S. and Zhang, K. 2018. An interior penalty method for a finite-dimensional linear complementarity problem in financial engineering. Optimization Letters. 12 (6): pp. 1161-1178.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/69495
dc.identifier.doi10.1007/s11590-016-1050-4
dc.description.abstract

In this work we study an interior penalty method for a finite-dimensional large-scale linear complementarity problem (LCP) arising often from the discretization of stochastic optimal problems in financial engineering. In this approach, we approximate the LCP by a nonlinear algebraic equation containing a penalty term linked to the logarithmic barrier function for constrained optimization problems. We show that the penalty equation has a solution and establish a convergence theory for the approximate solutions. A smooth Newton method is proposed for solving the penalty equation and properties of the Jacobian matrix in the Newton method have been investigated. Numerical experimental results using three non-trivial test examples are presented to demonstrate the rates of convergence, efficiency and usefulness of the method for solving practical problems.

dc.publisherSpringer Verlag
dc.titleAn interior penalty method for a finite-dimensional linear complementarity problem in financial engineering
dc.typeJournal Article
dcterms.source.volume12
dcterms.source.number6
dcterms.source.startPage1161
dcterms.source.endPage1178
dcterms.source.issn1862-4472
dcterms.source.titleOptimization Letters
curtin.note

The final publication is available at Springer via 10.1007/s11590-016-1050-4

curtin.departmentSchool of Electrical Engineering, Computing and Mathematical Science (EECMS)
curtin.accessStatusFulltext not available
dc.date.embargoEnd2019-06-11


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