Solvers for Nonlinear Algebraic Equations: Where Are We Today?
The aim of this paper is to summarize the state-of-the-art in solving systems of nonlinear algebraic equations. We are interested in two aspects of the problem. First, the existing solvers and their robustness. Second, the existing test-problem libraries and their adequacy. We explore both issues from the engineering-oriented perspective (e.g. by approaching the solvers as "black-box" software). Experimental data illustrating our main points is presented and discussed.
Parallel Processing Applied Mathematics
(2002). Solvers for Nonlinear Algebraic Equations: Where Are We Today?. Parallel Processing Applied Mathematics, 2328, 719-728.
Available at: https://aquila.usm.edu/fac_pubs/3712