2016/05/01 by Spivak, David I.
#26B99 #65S05 #68W01 #FOS: Mathematics #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.1605.00190
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.