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.