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Solving nonlinear systems of equations by means of quasi-neston methods with a nonmonotone stratgy*

 

作者: Ana Friedlander,   MárciaA. Gomes-Ruggiero,   DanielN. Kozakevich,   José Mario Martínez,   Sandra Augusta Santos,  

 

期刊: Optimization Methods and Software  （Taylor Available online 1997）
卷期: Volume 8, issue 1  

页码: 25-51

 

ISSN:1055-6788

 

年代: 1997

 

DOI:10.1080/10556789708805664

 

出版商: Gordon and Breach Science Publishers

 

关键词: Nonlinear Systems;Quasi-Newton Methods;Trust Regions;Nonmonotone Strategies

 

数据来源: Taylor

 

摘要:

A nonmonotone strategy for solving nonlinear systems of equations is introduced. The idea consists of combining efficient local methods with an algorithm that reduces monotonically the squared norm of the system in a proper way. The local methods used are Newton's method and two quasi-Newton algorithms. Global iterations are based on recently introduced box-constrained minimization algorithms. Numerical experiments are presented

 

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