A resume of hard work of completing very nice pathfinder project has been published. Pathfinder in 2C has been completed and some results presented to readers. Post contains description of my project’s properties with explanatory videos and images.
Numerical Methods for solving globally convergent nonlinear polynomial system of equations. Pathfinder part 1
There are many applications to solving a set of nonlinear system of equations problem in biology, economics, physics, engineering, geometry (intersection of surfaces) and of course mathematics and we have not found a numerical methods for solving it yet. Because of the existence of several roots, and that these usually are dispersed to unknown positions in N-dimensional space, efficient numerical methods are hard to develop. This posts presents three basics approach in solving this kind of problems and contains one simple example of kinematic chain that is helpful in general understanding of the main problem.