Numerical continuation methods: an introduction
Numerical continuation methods: an introduction
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)
Methods for Solving Systems of Nonlinear Equations
Methods for Solving Systems of Nonlinear Equations
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
Solvers for Nonlinear Algebraic Equations; Where Are We Today?
PPAM '01 Proceedings of the th International Conference on Parallel Processing and Applied Mathematics-Revised Papers
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
Original article: A quantitative metric for robustness of nonlinear algebraic equation solvers
Mathematics and Computers in Simulation
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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.