An algorithm for finding all solutions of a nonlinear system
From MaRDI portal
Publication:5953934
DOI10.1016/S0377-0427(00)00711-1zbMath1002.65062MaRDI QIDQ5953934
Michael W. Smiley, Changbum Chun
Publication date: 29 January 2002
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
convergenceNewton's methodnumerical examplessystems of nonlinear equationsnondegenerate zerossubdivision algorithm
Related Items (5)
Always convergent methods for nonlinear equations of several variables ⋮ Numerical analysis of semilinear elliptic equations with finite spectral interaction ⋮ Computing real roots of a polynomial in Chebyshev series form through subdivision with linear testing and cubic solves ⋮ Computing real roots of a polynomial in Chebyshev series form through subdivision ⋮ Approximating roots of nonlinear systems by \(\alpha\)-dense curves
Uses Software
Cites Work
- Globally convergent homotopy methods: A tutorial
- On the monotone convergence of Newton's method
- A rapid generalized method of bisection for solving systems of non-linear equations
- Computing the topological degree of a mapping in \(R^n\)
- An efficient degree-computation method for a generalized method of bisection
- A subdivision algorithm for the computation of unstable manifolds and global attractors
- A methodology for solving chemical equilibrium systems
- Computation of Morse decompositions for semilinear elliptic PDEs
- Index Evaluation for Dynamical Systems and Its Application to Locating All the Zeros of a Vector Function
- A simplicial mapping method for locating the zeros of a function
- Solving systems of nonlinear equations using the nonzero value of the topological degree
- Solving a Polynomial Equation: Some History and Recent Progress
- Note on the end game in homotopy zero curve tracking
- Finding all isolated solutions to polynomial systems using HOMPACK
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: An algorithm for finding all solutions of a nonlinear system
