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Recent advances in solvers for nonlinear algebraic equations

Dent D., Paprzycki M., Kucaba-Piętal A.

Computer Assisted Mechanics and Engineering Sciences

2000

Vol. 7, No. 4

493-505

In this paper the performance of four solvers for systems of nonlinear algebraic equations applied to a number of test problems with up to 250 equations is discussed. These problems have been collected from research papers and from the Internet and are often recognized as ``standard'' tests. Solver quality is assessed by studying their convergence and sensitivity to simple starting vectors. Experimental data is also used to categorize the test problems themselves. Future research directions are summarized.