Fixed Point and Newton’s Methods in the Complex Plane
Copyright policy )Fixed Point and Newton’s Methods in the Complex Plane
We revisit the necessary and sufficient conditions for linear and high order of convergence of fixed point and Newton’s methods in the complex plane. Schröder’s processes of the first and second kind are revisited and extended. Examples and numerical experiments are included.
- Université de Sherbrooke Canada
Fixed-point theorems, General theory of numerical methods in complex analysis (potential theory, etc.), Newton's method, nonlinear equations, fixed point theorem, complex plane, Numerical computation of solutions to single equations, convergence analysis
Fixed-point theorems, General theory of numerical methods in complex analysis (potential theory, etc.), Newton's method, nonlinear equations, fixed point theorem, complex plane, Numerical computation of solutions to single equations, convergence analysis
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