Zur Lösung parameterabhängiger nichtlinearer Gleichungen mit singulären Jacobi-Matrizen
From MaRDI portal
Publication:1135616
DOI10.1007/BF01403907zbMath0425.65032OpenAlexW1358817MaRDI QIDQ1135616
Hubert Schwetlick, Reinhard Menzel
Publication date: 1978
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/132538
nonlinear systemcontinuation methodturning pointsNewton's iterationEuler- Cauchy-predictorself-choosing stepsize
Related Items (18)
Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method ⋮ Nonlinear computation ⋮ Enlarging the domain of convergence for multiple shooting by the homotopy method ⋮ Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter ⋮ Ein lokal überlinear konvergentes Verfahren zur Bestimmung von Rückkehrpunkten implizit definierter Raumkurven ⋮ Engineering applications of the Chow-Yorke algorithm ⋮ An efficient algorithm for a class of equality-constrained optimization problems ⋮ Solving nonlinear systems of equations with only one nonlinear variable ⋮ Following paths through turning points ⋮ An indirect method for computing origins for Hopf bifurcation in two- parameter problems ⋮ Truncated aggregate homotopy method for nonconvex nonlinear programming ⋮ Globally convergent homotopy methods: A tutorial ⋮ Parametrization via secant length and application to path following ⋮ Nonlinear Computation ⋮ On accelerating PL continuation algorithms by predictor—corrector methods ⋮ Some computational aspects of the stability analysis of nonlinear structures ⋮ Branch switching in bifurcation problems for ordinary differential equations ⋮ Combining a path method and parametric linear programming for the computation of competitive equilibria
Cites Work
- Unnamed Item
- Unnamed Item
- Über einen Ordnungsbegriff bei Einbettungsalgorithmen zur Lösung nichtlinearer Gleichungen
- An extension of the Newton-Kantorovic method for solving nonlinear equations with an application to elasticity
- Widely Convergent Method for Finding Multiple Solutions of Simultaneous Nonlinear Equations
- A Method for the Numerical Determination of Bifurcation States of Nonlinear Systems of Equations
- A switching‐parameter algorithm for finding multiple solutions of nonlinear resistive circuits
- On Solving Nonlinear Equations with a One-Parameter Operator Imbedding
- Continuation of Newton’s Method Through Bifurcation Points
- The Application of Newton’s Method to the Problem of Elastic Stability
- The Solution of Non-Linear Equations and of Differential Equations with Two-Point Boundary Conditions
This page was built for publication: Zur Lösung parameterabhängiger nichtlinearer Gleichungen mit singulären Jacobi-Matrizen