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• W1982246852 abstract "Some variants of Newton’s method are developed in this work in order to solve nonlinear equations depending on one or several variables, based in rules of quadrature of fifth order. We prove the third or fifth order of convergence of these methods for dimension one, and the second or third order in several variables, depending on the behaviour of the second derivative. Moreover, different numeric tests confirm or improve theoretic results and allow us to compare these variants with Newton’s classical method." @default.
• W1982246852 created "2016-06-24" @default.
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• W1982246852 date "2007-07-01" @default.
• W1982246852 modified "2023-10-17" @default.
• W1982246852 title "Variants of Newton’s Method using fifth-order quadrature formulas" @default.
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• W1982246852 doi "https://doi.org/10.1016/j.amc.2007.01.062" @default.
• W1982246852 hasPublicationYear "2007" @default.
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