A Modified Newton-Secant Method for Solving Nonsmooth Generalized Equations

被引：0

作者：

Amaral, Vitaliano de Sousa ^{[1
]}

dos Santos, Paulo Sergio Marques ^{[2
]}

Silva, Gilson N. ^{[1
]}

Souza, Sissy ^{[2
]}

机构：

[1] Univ Fed Piaui, Dept Matemat, Teresina, PI, Brazil

[2] Univ Fed Delta Parnaiba, Dept Matemat, Parnaiba, PI, Brazil

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2024年 / 29卷 / 02期

关键词：

Newton-Kantorovich theorem; divided differences; Newton-secant method; generalized equations; LOCAL CONVERGENCE;

D O I：

10.3846/mma.2024.18680

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the solvability of nonsmooth generalized equations in Banach spaces using a modified Newton -secant method, by assuming a Ho center dot lder condition. Also, we generalize a Dennis -More ' theorem to characterize the sup erlinear convergence of the proposed method applied to nonsmooth generalized equations under strong metric subregularity. Numerical examples are provided to illustrate the effectiveness of our approach.

引用

页码：347 / 366

页数：20

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