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Local and Linear Convergence of an Algorithm for Solving A Sparse Minimization Problem

dc.contributor.authorMarwil, Earl S.en_US
dc.date.accessioned2007-04-23T18:20:32Z
dc.date.available2007-04-23T18:20:32Z
dc.date.issued1977-09en_US
dc.description.abstractFor an unconstrained minimization problem with a sparse Hessian, a symmetric version of Schubert's update is given which preserves the sparseness structure defined by the Hessian. At each iteration of the algorithm there are two sparse linear systems to be solved. These have the same sparseness structure defined by the Hessian. The differences between succeeding approximations to the Hessian and the Hessian at the solution are related by a careful evaluation of the difference in the Frobenius norm. This relation is used in proving the local and linear convergence of the algorithm.en_US
dc.format.extent654055 bytes
dc.format.extent309619 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/postscript
dc.identifier.citationhttp://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR77-324en_US
dc.identifier.urihttps://hdl.handle.net/1813/7445
dc.language.isoen_USen_US
dc.publisherCornell Universityen_US
dc.subjectcomputer scienceen_US
dc.subjecttechnical reporten_US
dc.titleLocal and Linear Convergence of an Algorithm for Solving A Sparse Minimization Problemen_US
dc.typetechnical reporten_US

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