Solvers for Systems of Nonlinear Algebraic Equations - Their Sensitivity to Starting Vectors
In this note we compare the sensitivity of six advanced solvers for systems of nonlinear algebraic equations to the choice of starting vectors. We will report on results of our experiments in which, for each test problem, the calculated solution was used as the center from which we have moved away in various directions and observed the behavior of each solver attempting to find the solution. We are particularly interested in determining the best global starting vectors. Experimental results are presented and discussed.
Numerical Analysis and Its Applications
(2001). Solvers for Systems of Nonlinear Algebraic Equations - Their Sensitivity to Starting Vectors. Numerical Analysis and Its Applications, 1988, 230-237.
Available at: http://aquila.usm.edu/fac_pubs/4005