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dc.contributor.authorVillalobos, Cristina
Tapia, Richard
Zhang, Yin
dc.date.accessioned 2018-06-18T17:47:33Z
dc.date.available 2018-06-18T17:47:33Z
dc.date.issued 1999-04
dc.identifier.citation Villalobos, Cristina, Tapia, Richard and Zhang, Yin. "The Sphere of Convergence of Newton's Method on Two Equivalent Systems from Nonlinear Programming." (1999) https://hdl.handle.net/1911/101920.
dc.identifier.urihttps://hdl.handle.net/1911/101920
dc.description.abstract We study a local feature of a Newton logarithmic barrier function method and a Newton primal-dual interior-point method. In particular, we study the radius of the sphere of convergence of Newton's method on two equivalent systems associated with the two aforementioned interior-point methods for nondegenerate problems in inequality contrained optimization problems. Our theoretical and numerical results are clearly in favor of using Newton primal-dual methods for solving the optimization problem. This work is an extension of the authors' earlier work [10] on linear programming problems.
dc.format.extent 23 pp
dc.title The Sphere of Convergence of Newton's Method on Two Equivalent Systems from Nonlinear Programming
dc.type Technical report
dc.date.note April 1999
dc.identifier.digital TR99-15
dc.type.dcmi Text


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