Finding the roots of a non-linear equation \\( f(x)=0 \\) is one of the most commonly occurring problems of applied mathematics. This work concerns the nineteenth century history of the fixed point and the bisection methods of root finding. We present the linear convergence properties of ...
Subjectst: Finding the roots (zeros) of an equation with stata DateTue, 9 Jun 2009 11:46:51 -0400 Follow-Ups: Re: st: Finding the roots (zeros) of an equation with stata From:Tirthankar Chakravarty <tirthankar.chakravarty@gmail.com>...
作者: Trn Quoc Nam 摘要: CiteSeerX - Scientific documents that cite the following paper: Extended Newton's Method for Finding the Roots of an Arbitrary Systemof Equations and its Applications 关键词: iterative method finding the roots 被引量: 14 年份: 1994 收藏...
A problem very often arising in applications is presented: finding the minimal root of an equation with the objective function being multiextremal and nondifferentiable. Applications from the field of electronic measurements are given. Three methods based on global optimization ideas are introduced for ...
The half-interval method is a simple but powerful technique for finding roots of an equation f(x) =0, where f is a continuous function. The idea is that,if we are given points a and b such that f(a) < 0 < f(b), then f must have at least one zero between a and b.To locat...
We’ve already solved this bit. So to find the remaining solutions to our equation, we’re going to make the other part of this product equal to zero. 𝑥 squared minus 𝑥 plus one equals zero. We could solve this in a number of ways. We could use the quadratic formula. Let’s ...
Syski shows that these roots can be determined from a very simple equation, but an equation of degree n + m. Syski also shows that almost all of the characteristic roots are complex. In this paper, we derive a set of equations, one for each complex root, which can be ...
1-D and 2-D systolic arrays for computing the roots of a transcendental function via table generating methods are considered. In particular we show how to derive systolic arrays systematically for a problem with an unbounded computation domain. A non-linear scheduling function is introduced to part...
Polynomial root-finders usually consist of two stages. At first a crude approximation to a root is slowly computed; then it is much faster refined by means of the same or distinct iteration. The efficiency of computing an initial approximation resists formal study, and the users rely on empiric...
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