simple root


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simple root

(mathematics)
A polynomial ƒ(x) has c as a simple root if (x - c) is a factor but (x - c)2 is not.
References in periodicals archive ?
It is clear that [theta] = [2[pi]/3]/[n + 3m]is a simple root of g([theta]) on (0,[theta]/6).
From the given characterization of simple roots, it is clear that the repeated roots can be only [beta] = 0 and [[beta].sup.2] = -[g.sup.2]([lambda])/2.
In this paper we have presented fixed point and Newton's methods to compute a simple root of a nonlinear analytic function in the complex plane.
Assume [Florin], [Florin]' and [Florin]" are continuous on an interval [a, b] containing the simple root a.
that is, [beta] [greater than or equal to] [alpha] if and only if [beta] - [alpha] can be written as a linear combination of simple roots with nonnegative integer coefficients.
Chun, "Basins of attraction for several methods to find simple roots of nonlinear equations," Applied Mathematics and Computation, vol.
Then, i[omega]( [[tau].sup.*.sub.1]) = i[[omega].sup.*.sub.1] is a simple root of (33) and v([tau]) + i[omega]([tau]) is differentiable with respect to [tau] in a neighbourhood of [tau] = [[tau].sup.*.sub.1].
Kim, "A multi-parameter family of three-step eighth-order iterative methods locating a simple root," Applied Mathematics and Computation, vol.
Assume that the function f : I [subset] R [right arrow] R for an open interval I has a simple root [alpha] [member of] I.
[1] when equation (1.1) has a multiple root, most of the methods exist for solving a simple root of [Florin](x) =.
As a homesteader with more interests than time, simple root cellaring is tops on my list for out-of-season eating.
* A SIMPLE ROOT CAUSE ANALYSIS SYSTEM-MULTIPLE WHYS VIRTUAL SEMINAR