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.
- Pub Date:
- April 2016
- Computer Science - Numerical Analysis;
- There is a later, more up-to-date and complete version on the arXiv, namely "Pixel Arrays: A fast and elementary method for solving nonlinear systems", arXiv:1609.00061