Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter

Computing

Volumn 26, Issue 2, 1981, Pages 107-121

  Ponisch G ^a   Schwetlick, H ^b  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^b MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

Author keywords

continuation methods; local convergence; Newton like methods; Subject Classification: Primary: 65 H, Secondary: 47 H; Turning points

Indexed keywords

EID: 0040827848     PISSN: 0010485X     EISSN: 14365057     Source Type: Journal    
DOI: 10.1007/BF02241778     Document Type: Article

References (17)

1. An efficient algorithm for determination of certain bifurcation points
2. An extension of the Newton-Kantorovich method for solving nonlinear equations with an application to elasticity
3. A switching-parameter algorithm for finding multiple solutions of nonlinear resistive circuits
4. Solution of nonlinear equations and of differential equations with two-point boundary conditions
5. Dependence of solution of nonlinear systems on a parameter (Algorithm 502). ACM Transactions on Math
6. Evaluation of branching points for nonlinear boundary-value problems based on the GPM-technique
7. Zur Lösung parameterabhängiger nichtlinearer Gleichungen mit singulären Jacobi-Matrizen
8. The application of Newton's method to the problem of elastic stability
9. Numerical computation of branching points in nonlinear equations
10. A method for numerical determination of bifurcation states of nonlinear systems of equations