×

zbMATH — the first resource for mathematics

Secant methods for semismooth equations. (English) Zbl 0914.65051
The authors present some generalizations of the secant method to semismooth equations. After a review of relevant results about semismooth operators, the superlinear convergence of the classical secant method for one-dimensional, general semismooth equations is proved and a new quadratically convergent method is proposed. Then, for the \(n\)-dimensional case, secant methods for two classes of composite semismooth equations are discussed.

MSC:
65H10 Numerical computation of solutions to systems of equations
PDF BibTeX XML Cite
Full Text: DOI