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dc.contributor.advisor Tapia, Richard A.
dc.creatorPapakonstantinou, Joanna Maria
dc.date.accessioned 2009-06-03T21:07:29Z
dc.date.available 2009-06-03T21:07:29Z
dc.date.issued 2007
dc.identifier.urihttp://hdl.handle.net/1911/20568
dc.description.abstract Many finite-dimensional minimization problems and nonlinear equations can be solved using Secant Methods. In this thesis, we present a historical development of the (n + 1)-point Secant Method tracing its evolution back before Newton's Method. Many believe the Secant Method arose out of the finite difference approximation of the derivative in Newton's Method. However, historical evidence reveals that the Secant Method predated Newton's Method by more than 3000 years, and it was most commonly referred to as the Rule of Double False Position. The history of the Rule of Double False Position spans a period of several centuries and many civilizations. We describe the Rule of Double False Position and compare and contrast the Secant Method in 1-D with the Regula Falsi Method. We delineate the extension of the 1-D Secant Method to higher dimensions using two viewpoints, the linear interpolation idea and Discretized Newton Methods.
dc.format.extent 65 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMathematics
Computer science
dc.title A historical development of the (n+1)-point secant method
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Computer Science
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Science
dc.identifier.citation Papakonstantinou, Joanna Maria. "A historical development of the (n+1)-point secant method." (2007) Master’s Thesis, Rice University. http://hdl.handle.net/1911/20568.


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