dc.contributor.author Goh, Bean dc.contributor.author Leong, Wah dc.contributor.author Siri, Zailan dc.date.accessioned 2017-01-30T13:37:56Z dc.date.available 2017-01-30T13:37:56Z dc.date.created 2014-03-23T20:00:51Z dc.date.issued 2013 dc.identifier.citation Goh, Bean and Leong, Wah and Siri, Zailan. 2013. Partial Newton methods for a system of equations. Numerical Algebra, Control and Optimization. 3 (3): pp. 463-469. dc.identifier.uri http://hdl.handle.net/20.500.11937/33571 dc.identifier.doi 10.3934/naco.2013.3.463 dc.description.abstract We define and analyse partial Newton iterations for the solutions of a system of algebraic equations. Firstly we focus on a linear system of equations which does not require a line search. To apply a partial Newton method to a system of nonlinear equations we need a line search to ensure that the linearized equations are valid approximations of the nonlinear equations. We also focus on the use of one or two components of the displacement vector to generate a convergent sequence. This approach is inspired by the Simplex Algorithm in Linear Programming. As expected the partial Newton iterations are found not to have the fast convergence properties of the full Newton method. But the proposed partial Newton iteration makes it significantly simpler and faster to compute in each iteration for a system of equations with many variables. This is because it uses only one or two variables instead of all the search variables in each iteration. dc.publisher American Institute of Mathematical Science dc.subject partial Newton iterations dc.subject subspace method dc.subject convergence dc.subject solution of equations dc.subject Newton method dc.title Partial Newton methods for a system of equations dc.type Journal Article dcterms.source.volume 3 dcterms.source.number 3 dcterms.source.startPage 463 dcterms.source.endPage 469 dcterms.source.issn 21553289 dcterms.source.title Numerical Algebra, Control and Optimization curtin.department Sarawak Campus, Miri, Malaysia curtin.accessStatus Fulltext not available
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