Muller method

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Muller method

[′məl·ər ‚meth·əd]
(mathematics)
A method for finding zeros of a function ƒ(x), in which one repeatedly evaluates ƒ(x) at three points, x1, x2, and x3, fits a quadratic polynomial to ƒ(x1), ƒ(x2), and ƒ(x3), and uses x2, x3, and the root of this quadratic polynomial nearest to x3 as three new points to repeat the process.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Bansal and Kirk [8] made a further progress on the basis of Lund's work by taking the effects of the damping and flexibilities of the bearings on the system stability under consideration and using Muller's method to find the eigenvalues of rotor-bearing systems.
After that more efficient methods have been used, such as Bairstow method, Bair-stow-Newton method and Muller's method. However they still have some difficulties when dealing with a complex rotor-bearing system, such as being sensitive to the initial points and finding the roots disorderly.
For comparing, Muller's method is also used to find the roots.
Table 4 shows the roots found by Muller's method and the present method, between which the differences are very small.
The complex propagation constants have been calculated by the Muller's method in [6].
For finding the complex roots of the complex determinant we have used the Muller's method. Muller's method uses 3 initial guesses [x.sub.0], [x.sub.1], [x.sub.2] and determines the intersection with the x axis of a parabola.