Recent advances in solvers for nonlinear algebraic equations (Q2710628)

The authors present data collected from papers and Internet sources concerning the performance of four solvers for systems of nonlinear algebraic equations of the degree more then 250 and try to interpret these data as a standard test for this solvers. The products CONTIN (also known as PITCON), HOMPACK, TENSOLVE and HYBRID1 are discussed. These products use the following numerical methods: Newton's method, trust-region method, continuation method, homotopy method, tensor method and line-search method.NEWLINENEWLINENEWLINEOne of the interesting results of comparison is that the tensor method appears to be most robust and capable of solving the largest number of problems and the results obtained using the largest number of problems and the results obtained using the remaining solvers are numerically almost identical.