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Applications of Higher-Order Optimal Newton Secant Iterative Methods in Ocean Acidification and Investigation of Long-Run Implications of CO2 Emissions on Alkalinity of Seawater
Author(s) -
D.K.R. Babajee,
Vishal Chandr Jaunky
Publication year - 2013
Publication title -
isrn applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2090-5572
pISSN - 2090-5564
DOI - 10.1155/2013/785287
Subject(s) - mathematics , convergence (economics) , newton's method , ordinary least squares , function (biology) , seawater , alkalinity , conjecture , order (exchange) , polynomial , secant method , nonlinear system , statistics , mathematical analysis , combinatorics , biology , chemistry , physics , economics , ecology , organic chemistry , finance , quantum mechanics , evolutionary biology , economic growth
The Newton secant method is a third-order iterative nonlinear solver. It requires two function and one first derivative evaluations. However, it is not optimal as it does not satisfy the Kung-Traub ...

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