Matrix-free numerical continuation and bifurcation

Numerical Functional Analysis and Optimization

Volumn 22, Issue 3-4, 2001, Pages 303-320

  Georg, K ^a  

^a Department of Ecosystem Science and Sustainability   (United States)

Author keywords

Matrix free Newton's method; Nonlinear equations; Numerical bifurcation; Numerical continuation

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; ITERATIVE METHODS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS;

MATRIX FREE NEWTONS METHOD; MATRIX FREE NUMERICAL CONTINUATION;

BIFURCATION (MATHEMATICS);

EID: 0035326836     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1081/NFA-100105106     Document Type: Article

References (13)

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4. Matrices with rank deficiency two in eigenvalue problems and dynamical systems
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6. Characterization and computation of generalized turning points
7. Numerical differentiation of implicitly defined space curves
8. A new method for the solution of eigenvalue problems
9. The measure of the critical values of differentiable maps
10. Numerical computation of branch points of nonlinear equations
11. On the numerical approximation of secondary bifurcation problems
12. Computation of Hopf bifurcation with bordered matrices