multiplicity

Singh, "On some modified families of multipoint iterative methods for multiple roots of nonlinear equations," Applied Mathematics and Computation, vol.

Expand f([x.sub.k]), f'([x.sub.k]), f"([x.sub.k]) in the Taylor series about [alpha], where [alpha] is a multiple root of multiplicity m.

5 with analytic or multiple root finder methods has two advantages over the use of iterative methods, initial estimates of the answer are not required, and the result is the complete set of three roots making possible to know directly if the EOS predicts densities for one or two phases from the number of real roots in the results.

No A 'Campo bump arises from a multiple root of f(z, w).

As discussed in the previous part, a system probably has multiple root roles.

If bone loss is more than 50 per cent, it leads to multiple root canal infections simultaneously.

In this paper, we consider iterative methods to find the multiple root of a non-linear equation

A superb resource that seeks to address multiple root causes of anxiety, in addition to proffering ways to tap into the power of yoga and physical activity as a positive counter-force, Yoga for Anxiety is highly recommended.

This is not as effective as singular links from multiple root domains.

Executive leaders must recognize that difficult and complex problems often have multiple root causes and are not often solved overnight.

In this paper, we develop a Parametric Newton's method in section (2) and also it is shown that the method is same for solving equation (1.1) whether it has a simple root or a multiple root in the same section.

And it is an easy step to the realization that each of these elements has multiple root causes.

Since transpiration reflects the gradient of water potential between the bulk soil and the root surface, the water potential gradient may develop differently in single and multiple root systems.