Some Modifications of Newton's Method with Fifth-order Convergence
Qifang Su
Abstract
Qifang Su
Abstract
In this paper,a new convergence theorem and error estimate for some new modifications of Newton's method are obtained by means of Newton's theorem,under the foundations of Newton's method for solving non-linear equation.
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In this paper,a new convergence theorem and error estimate for some new modifications of Newton's method are obtained by means of Newton's theorem,under the foundations of Newton's method for solving non-linear equation.
Key concepts: Newton's method, Steffensen's method, Convergence (economics), Applied mathematics, Mathematics, Order (exchange), Newton's method in optimization, Local convergence