nonlinear equation


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nonlinear equation

[′nän‚lin·ē·ər i′kwā·zhən]
(mathematics)
An equation in variables x1, …, xn , y which cannot be put into the form a1 x1+ ⋯ + an xn = y.
References in periodicals archive ?
The construction of the Newton observer is based on the solution of the set of nonlinear equations
We know that one of the fundamental algorithm for solving nonlinear equations is so-called fixed point iteration method [4].
Abraham A: A New Approach for Solving Nonlinear Equations Systems.
Keywords: Numerical Analysis, nonlinear equations, Newton's method, numerical approximations, polynomial equations, MATLAB.
Most of problems arising in heat transfer area are nonlinear and through the majority of them only a limited numbers of them have exact analytical solution so these nonlinear equations should be solved using other methods.
Torregrosa, Efficient three-step iterative methods with sixth order convergence for nonlinear equations, Numerical Algorithms 53 (2010) 485 - 495.
2](t)), we could use any appropriate nonlinear equation solver such as fsolve in Maple to find the point of intersection by solving the system
In this manner we can try for acceleration of any Method for solving nonlinear equations and systems of equations.
The geometrically nonlinear equations for discrete analysis of single-pylon suspension bridge presented in this paper enable adequate determination of deflections and inner forces for these structures.
In brief, the Homotopy method is capable of finding the roots of a nonlinear equation, or of a system of nonlinear algebraic equations arising from combination of two functions: a fixnction for which a zero is known or readily obtained, say G(x), and other functions whose zeros (roots) are sought (P(x)).
In the 1970s, however, scientists for the first time had powerful high-speed computers that could help them tackle and solve nonlinear equations.

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