Solving nonlinear systems of equations by means of quasi-newton methods with a nonmonotone strategy

Optimization Methods and Software

Volumn 8, Issue 1, 1997, Pages 25-51

  Friedlander, Ana ^a   Gomes Ruggiero, Márcia A ^a   Kozakevich, Daniel N ^a   Martínez, José Mario ^a   Santos, Sandra Augusta ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Nonlinear systems; Nonmonotone strategies; Quasi Newton methods; Trust regions

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; ITERATIVE METHODS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

NONMONOTONE STRATEGY; QUASI NEWTON METHODS;

NONLINEAR EQUATIONS;

EID: 0031353725     PISSN: 10556788     EISSN: None     Source Type: Journal    
DOI: 10.1080/10556789708805664     Document Type: Article

References (3)

1. Broyden, C. G. (1965). A class of methods for solving nonlinear simultaneous equations, Mathematics of Computation, 19, 577-593.
2. Brown, P. N. and Saad, Y. (1990). Hybrid Krylov methods for nonlinear systems of equations, SIAM Journal on Scientific and Statistical Computing, 11, 450-481.
3. Brown, P. N. and Saad, Y. (1994). Convergence theory of nonlinear Newton-Krylov methods, SIAM Journal on Optimization, 4, 297-330.