A switching-method for nonlinear systems

Journal of Computational and Applied Mathematics

Volumn 71, Issue 1, 1996, Pages 83-93

  Bellavia, S ^a   Gasparo, M G ^a   Macconi, M ^a  

^a UNIVERSITY OF FLORENCE   (Italy)

Author keywords

Damped methods; Direct search methods; Finite difference Newton's method; Global convergence; Nonlinear systems; Quadratic convergence

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; NONLINEAR SYSTEMS;

DIRECT SEARCH METHOD; FINITE DIFFERENCE NEWTON'S METHOD; GLOBAL CONVERGENCE; QUADRATIC CONVERGENCE; SWITCHING METHOD;

ITERATIVE METHODS;

EID: 0030195604     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00226-X     Document Type: Article

References (7)

1. G. Alefeld, A. Gienger and F. Potra, Efficient numerical validation of solutions of nonlinear systems, SIAM J. Numer. Anal. 3 (1994) 252-260.
2. J.E. Dennis Jr and R.B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Prentice-Hall, Englewood Cliffs, NJ, 1983) .
3. J.J. Moré, A collection of nonlinear model problems, in: Lectures Notes in Applied Mathematics, Vol. 26 (1990) 723-762.
4. J.J. Moré, B.S. Garbow and K.E. Hillstrom, Testing unconstrained optimization software, ACM Trans. Math. Software 7 (1981) 17-41.
5. J.M. Ortega and W.C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables (Academic Press, New York, 1970).
6. E. Polak, Computational Methods in Optimization. A Unified Approach (Academic Press, New York, 1971).
7. V. Torczon, On the convergence of the multidirectional search algorithm, SIAM J. Optim. 1 (1991) 123-145.