Article ID Journal Published Year Pages File Type
4635184 Applied Mathematics and Computation 2007 5 Pages PDF
Abstract
A local convergence theorem on a modified secant method with convergence order 1.839… for solving nonlinear equations is established under the hypotheses that the second-order and third-order derivative of the function involved are bounded. An estimate of the radius of the convergence ball of this method is obtained. Moreover, an error estimate is provided which matches the convergence order of the method.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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