An augmented Jacobian matrix algorithm for tracking homotopy zero curves

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dc.contributor.authorBillups, Stephen C.en
dc.contributor.departmentComputer Science and Applicationsen
dc.date.accessioned2019-07-03T16:42:32Zen
dc.date.available2019-07-03T16:42:32Zen
dc.date.issued1985en
dc.description.abstractThere are algorithms for finding zeros or fixed points of nonlinear systems of (algebraic) equations that are globally convergent for almost all starting points, i.e., with probability one. The essence of all such algorithms is the construction of an appropriate homotopy map and then tracking some smooth curve in the zero set of this homotopy map. The augmented Jacobian matrix algorithm is part of the software package HOMPACK, and is based on an algorithm developed by W.C. Rheinboldt. The algorithm exists in two forms-one for dense Jacobian matrices, and the other for sparse Jacobian matrices.en
dc.description.degreeM.S.en
dc.format.extentiii, 124 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/90914en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 13131179en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1985.B544en
dc.subject.lcshJacobiansen
dc.subject.lcshHomotopy theoryen
dc.subject.lcshNonlinear theoriesen
dc.titleAn augmented Jacobian matrix algorithm for tracking homotopy zero curvesen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineComputer Science and Applicationsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameM.S.en

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