Pixel matrices: An elementary technique for solving nonlinear systems
Abstract
A new technique for approximating the entire solution set for a nonlinear system of relations (nonlinear equations, inequalities, etc. involving algebraic, smooth, or even continuous functions) is presented. The technique is to first plot each function as a pixel matrix, and to then perform a sequence of basic matrix operations, as dictated by how variables are shared by the relations in the system. The result is a pixel matrix graphing the approximated simultaneous solution set for the system.
 Publication:

arXiv eprints
 Pub Date:
 April 2016
 arXiv:
 arXiv:1605.00190
 Bibcode:
 2016arXiv160500190S
 Keywords:

 Computer Science  Numerical Analysis;
 26B99;
 65S05;
 68W01
 EPrint:
 There is a later, more uptodate and complete version on the arXiv, namely "Pixel Arrays: A fast and elementary method for solving nonlinear systems", arXiv:1609.00061