ACM Transactions on Mathematical Software (TOMS)
Algorithm 777: HOMPACK90: a suite of Fortran 90 codes for globally convergent homotopy algorithms
ACM Transactions on Mathematical Software (TOMS)
Algorithm 596: a program for a locally parameterized
ACM Transactions on Mathematical Software (TOMS)
Lancelot: A FORTRAN Package for Large-Scale Nonlinear Optimization (Release A)
Lancelot: A FORTRAN Package for Large-Scale Nonlinear Optimization (Release A)
Solvers for Systems of Nonlinear Algebraic Equations - Their Sensitivity to Starting Vectors
NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications
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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.