A derivative-free method for the system of nonlinear equations

Nonlinear Analysis: Real World Applications

Volumn 7, Issue 3, 2006, Pages 378-384

  Nie, Pu Yan ^a  

^a JINAN UNIVERSITY   (China)

Author keywords

Derivative free techniques; Generalized pattern search (GPS) method; Mesh; System of nonlinear equations

Indexed keywords

MATHEMATICAL MODELS; NUMERICAL METHODS; PATTERN RECOGNITION;

DERIVATIVE-FREE TECHNIQUES; GENERALIZED PATTERN SEARCH (GPS) METHOD; MESH; SYSTEM OF NONLINEAR EQUATIONS;

NONLINEAR EQUATIONS;

EID: 33644701796     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2005.03.006     Document Type: Article

References (8)

1. C. Audet, and J.E. Dennis Jr. Combining patter search and filter algorithms for derivative free optimization SIAM J. Optim. 14 2004 980 1010
2. J.E. Dennis Jr., and R.B. Schanabel Numerical Methods for Unconstrained Optimization and Nonlinear Equations 1983 Prentice-Hall Englewood Cliffs, NJ
3. J.Y. Fan A modified Levenberg-Marquardt algorithm for singular system of nonlinear equations J. Comput. Math. 21 2003 625 636
4. A. Neumaier Interval Methods for System of Equations 1990 Cambridge University Press Cambridge
5. P.Y. Nie A null space method for system of equations Appl. Math. Comput. 149 2004 215 226
6. J.M. Ortega, and W.C. Rheinboldt Iterative Solution of Nonlinear Equations in Several Variables 1970 Academic Press New York
7. H. Schichl, and A. Neumaier Exclusion regions for systems of equations SIAM J. Numer. Anal. 42 2004 383 408
8. V. Torczon On the convergence of pattern search algorithms SIAM J. Optim. 7 1997 1 25