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dc.contributor.advisor Miele, Angelo
dc.creatorLevy, Alejandro Velasco
dc.date.accessioned 2016-04-21T12:01:32Z
dc.date.available 2016-04-21T12:01:32Z
dc.date.issued 1970
dc.identifier.citation Levy, Alejandro Velasco. "Numerical experiments on quadratically convergent algorithms for function minimization." (1970) Master’s Thesis, Rice University. https://hdl.handle.net/1911/89126.
dc.identifier.urihttps://hdl.handle.net/1911/89126
dc.description.abstract The nine quadratically convergent algorithms for function minimization appearing in Ref. 1 are tested through numerical examples. Both a quadratic function and a nonquadratic function are investigated. For the quadratic function, the results show that, if high-precision arithmetic together with high accuracy in the one-dimensional search is employed, all the algorithms behave identically: they all produce the same sequence of points and they all lead to the minimal point in the same number of iterations (this number is equal at most to the number of variables). For the nonquadratic function, the results show that some of the algorithms behave identically and, therefore, any one of them can be considered to be representative of the entire class. The effect of different restarting conditions on the convergence characteristics of the algorithms is studied. Proper restarting conditions for faster convergence are given.
dc.format.extent 22 pp
dc.language.iso eng
dc.title Numerical experiments on quadratically convergent algorithms for function minimization
dc.type Thesis
dc.identifier.digital RICE0163
dc.type.material Text
thesis.degree.department Mechanical Engineering and Materials Science
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Science
dc.format.digitalOrigin reformatted digital
dc.identifier.callno Thesis M.E. 1970 LEVY


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