Contraction, Robustness, and Numerical Path-Following Using Secant Maps

Journal of Complexity

Volumn 16, Issue 1, 2000, Pages 286-310

  Yakoubsohn, Jean Claude ^a  

^a UNIVERSITÉ PAUL SABATIER   (France)

Author keywords

Regula Falsi; secant method; Newton method; approximate zero; contraction map; robustness; theory; homotopy method; complexity

Indexed keywords

EID: 0346246282     PISSN: 0885064X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcom.1999.0535     Document Type: Article

References (3)

1. Blum L., Cucker F., Shub M., Smale S. Complexity and Real Computation. 1998;Springer-Verlag, New York/Berlin.
2. Kato T. Perturbation Theory for Linear Operators. 1976;Springer-Verlag, New York/Berlin.
3. Yakoubsohn J. C. Finding zeros of analytic functions: α-Theory for secant type methods. J. Complexity. 15:1999;239-281.