Many one-step iterative methods for solving

non-linear equations for distinct zeros have been developed using various techniques, see (1 - 7).

If there exist such

non-linear equations, the procedure would then involve two iterations.

TableCurve 3D includes 453,697,363 built-in equations, including 168 pre-defined and two user-defined

non-linear equations.

Reheinboldt, Iterative solution of

non-linear equations in several variables, Academic Press, New York, 1970.

The

non-linear equations (which behave chaotically) lead always to these geometrical boundaries, which are 1) finite and 2) outside of possible singular points.

The book also covers the mathematics of systems: difference equations and z-transforms, ordinary differential linear and

non-linear equations, Laplace transforms, and numerical methods for solving differential equations.

With enough computational power the interaction of electrons in any combination of orbital shells can be computed through multiple manipulations of a system of Schrodinger's equations, but even the present numerical methods for this approach will use rough approximations due to the complexity of several

non-linear equations and their solutions.

The iterative Newton-Raphson method [12, 13] was used for solving a system of

non-linear equations.

Chordiant has a long history in developing

non-linear equations to accurately predict customer behavior and, with this patent, goes further to capture and combine all relevant characteristics in a novel non-linear and highly accurate non-algebraic representation, thereby enabling the highest degree of accuracy in predictive analytics for business.

Most of the literature on non-linear dynamical system has treated

non-linear equations with polynomial non-linearities, in particular system with quadratic and cubic non-linearities [1-4].

Early in his career Santos worked on a diverse set of technical projects that included a commercial object-oriented toolkit for solving complex,

non-linear equations using genetic algorithms.

Certainly, the difference between both models consist in reduction of the number of base (dependent) variables, the consumption characteristic approximation of

non-linear equations is more accurately and forming of the other way of objective function.