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dc.contributor.authorSuleiman, Sara Tagelsir Mohamedeng
dc.date.accessioned2011-06-21T10:58:02Z
dc.date.available2011-06-21T10:58:02Z
dc.date.issued2009-05-26eng
dc.date.submitted2009-05-26eng
dc.identifier.urihttps://hdl.handle.net/1956/4815
dc.description.abstractIn this thesis a new iterative frame work to solve the nonlinear system of equations \(F(x)=0\) in n-dimensional real space is established. This iterative frame work is based on a quadratic model of the function \(F(x)\) at the current point. The convergence analysis shows that this frame work has Q-third rate of convergence. The main advantages of this frame work that the system of nonlinear equations simplified to quadratic system of equations which hopefully has less computational complexity than the original system. It is shown that the Halley class inherits it's convergence properties from the quadratic model. In practice, for the large-scale problems, the inexact Halley class methods is used to solve \(F(x)=0\), and has Q-third rate of convergence.en_US
dc.format.extent3106865 byteseng
dc.format.mimetypeapplication/pdfeng
dc.language.isoengeng
dc.publisherThe University of Bergenen_US
dc.titleSolving System of Nonlinear Equations Using Methods in the Halley Classen_US
dc.typeMaster thesis
dc.rights.holderThe authoren_US
dc.rights.holderCopyright the author. All rights reserveden_US
dc.description.degreeMaster's Programme in Informatics - Optimisationen_US
dc.description.localcodeMAMN-INFOP
dc.description.localcodeINFOP
dc.subject.nus754115eng
dc.subject.nsiVDP::Mathematics and natural science: 400::Information and communication scienceen_US
fs.subjectcodeINFOP


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