Secant methods for semismooth equations

被引：0

作者：

Florian A. Potra

Liqun Qi

Defeng Sun

机构：

[1] Department of Mathematics,

[2] University of Iowa,undefined

[3] Iowa City,undefined

[4] IA 52242,undefined

[5] USA; e-mail: potra@math.uiowa.edu ,undefined

[6] School of Mathematics,undefined

[7] The University of New South Wales,undefined

[8] Sydney,undefined

[9] New South Wales 2052,undefined

[10] Australia; e-mail: (Liqun Qi) L.Qi@unsw.edu.au,undefined

[11] (Defeng Sun) sun@alpha.maths.unsw.edu.au ,undefined

来源：

Numerische Mathematik | 1998年 / 80卷

关键词：

Superlinear Convergence; Secant Method; Convergent Method; Semismooth Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Some generalizations of the secant method to semismooth equations are presented. In the one-dimensional case the superlinear convergence of the classical secant method for general semismooth equations is proved. Moreover a new quadratically convergent method is proposed that requires two function values per iteration. For the n-dimensional cases, we discuss secant methods for two classes of composite semismooth equations. Most often studied semismooth equations are of such form.

引用

页码：305 / 324

页数：19

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