Newton methods for solving nonsmooth equations via a new subdifferential

Mathematical Methods of Operations Research

Volumn 54, Issue 2, 2001, Pages 239-257

  Gao, Yan ^a  

^a UNIVERSITY OF SHANGHAI FOR SCIENCE AND TECHNOLOGY   (China)

Author keywords

Composite functions; Inexact Newton methods; Newton methods; Nonsmooth equations; Nonsmooth optimization; Semismoothness

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; OPTIMIZATION; SET THEORY;

COMPOSITE FUNCTIONS; NEWTON METHODS; NONSMOOTH EQUATIONS;

OPERATIONS RESEARCH;

EID: 0035668124     PISSN: 14322994     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001860100150     Document Type: Article

References (12)

1. Variational principle with nonlinear complementarity for three dimensional contact problems and its numerical method
2. A verification method for solutions of nonsmooth equations
3. Second-order directional derivatives for max-type functions
4. Semismooth and semiconvex functions in constrained optimization
5. Secant methods for semismooth equations
6. Convergence analysis of some algorithms for solving nonsmooth equations
7. A nonsmooth version of Newton's method
8. Newton and quasi-Newton methods for a class of nonsmooth equations and related problems