In this work, a class of iterative Newton's methods, known as power mean Newton's methods, is proposed. Some known results can be regarded as particular ...
In this work, a class of iterative Newton's methods, known as power mean Newton's methods, is proposed. Some known results.
In this work, a class of iterative Newton's methods, known as power mean Newton's methods, is proposed. Some known results can be regarded as particular ...
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A class of Newton's methods with third-order convergence · Xiaojian Zhou · Published in Applied Mathematics Letters 1 September 2007 · Mathematics.
In this article we construct some higher-order modifications of Newton's method for solving nonlinear equations, which is based on the undetermined ...
TL;DR: A family of six sets of means based modifications of Newton's method for solving nonlinear equations, each set is a parametric class of methods, shows ...
Derivation of Newton's method involves an indefinite integral of the derivative of the function, and the relevant area is approximated by a rectangle.
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Jan 13, 2014 · Order of convergence of a two-step iteration method. Essentially the same as the answer taken to the end, only formulated in inequalities instead of midpoints.
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Abstract. In this work we propose an improvement to the popular Newton's method based on the contra-harmonic mean while using quadrature rule derived from.
A class of third-order convergent methods for computing roots of non-linear equations, which are variations of Newton's method, are given.