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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
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