A numerical method for branch points of a system of nonlinear algebraic equations
From MaRDI portal
Publication:1104048
DOI10.1016/0168-9274(88)90018-9zbMath0646.65045OpenAlexW1968704649MaRDI QIDQ1104048
Publication date: 1988
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0168-9274(88)90018-9
numerical exampleNewton's methodGaussian eliminationbranch pointssystem of nonlinear algebraic equations
Related Items (8)
A heuristic method for certifying isolated zeros of polynomial systems ⋮ Improved two-step Newton's method for computing simple multiple zeros of polynomial systems ⋮ Newton-Anderson at Singular Points ⋮ A new deflation method for verifying the isolated singular zeros of polynomial systems ⋮ Modified deflation algorithm for the solution of singular problems. I. A system of nonlinear algebraic equations ⋮ Newton's method with deflation for isolated singularities of polynomial systems ⋮ On isolation of simple multiple zeros and clusters of zeros of polynomial systems ⋮ Verified error bounds for singular solutions of nonlinear systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Modified deflation algorithm for the solution of singular problems. I. A system of nonlinear algebraic equations
- Modified deflation algorithm for the solution of singular problems. II: Nonlinear multipoint boundary value problems
- Deflation algorithm for the multiple roots of a system of nonlinear equations
- Direction of branches bifurcating at a bifurcation point. Determination of starting points for a continuation algorithm
- Structure analyses for large scale nonlinear multipoint boundary value problems
- A comparison of methods for determining turning points of nonlinear equations
- Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations
- Evaluation of branching points for nonlinear boundary-value problems based on the GPM technique
- An efficient algorithm for the determination of certain bifurcation points
- Numerical computational of branch points in nonlinear equations
- Evaluation of limit and bifurcation points for algebraic equations and nonlinear boundary-value problems
- Bifurcation from simple eigenvalues
- The Computation of Symmetry-Breaking Bifurcation Points
- A Method for the Numerical Determination of Bifurcation States of Nonlinear Systems of Equations
- Numerical Methods for a Class of Finite Dimensional Bifurcation Problems
- Numerical computation of branch points in ordinary differential equations
This page was built for publication: A numerical method for branch points of a system of nonlinear algebraic equations