Parameter selection for inexact Newton method

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 1, 1997, Pages 17-24

  Lužanin, Zorana ^a   Herceg, Dragoslav ^a   Krejić, Nataša ^a  

^a UNIVERSITY OF NOVI SAD   (Serbia)

Author keywords

Global convergence; Inexact Newton method; Newton method

Indexed keywords

EID: 0043048238     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00410-0     Document Type: Article

References (12)

1. BANK, R., ROSE, D., Global Approximate Newton Methods, Numer. Math., 37(1981), 279-295.
2. BROWN, P., SAAD, Y., Convergence Theory of Nonlinear Newton-Krylov Algorithms, SIAM J. Optimization, 4 (1994), 297-330.
3. BUS, J., Numerical Solution of Systems of Nonlinear Equations, Mathematisch Centrum, Amsterdam, 1980.
4. DEMBO, R., EISBNSTAT, S., STEIHAUG, T., Inexact Newton Methods, SIAM J. Numer. Anal., 19(1982), 400-408.
5. DEUFLHARD, P., HEINDL, G., Affine Invariant Convergence Theorems for Newton Method and Extension to Related Methods, SIAM J. Nurner. Anal., 16 (1979), 1-10.
6. EISENTAT, S., WALKER, H., Globally Convergent Inexact Newton Methods, SIAM J. Optimization, 4 (1994), 393-422.
7. EISENTAT, S., WALKER, H., Choosing the Forcing Term in an Inexact Newton Method, SIAM J. Sci. Comput., 17 (1996), 16-32.
8. LANZKRON, P. ROSE, D., WILKES, J., An Analysis of Approximate Nonlinear Elimination, SIAM J. Sci. Comput., 17 (1996), 538-559.
9. 9. LUŽANIN, Z., New approach to globalization of Inexact Newton Methods, to appear.
10. MARTÍNEZ, J.M., An Extension of the Theory of Secant Preconditioners, J. Comp. Appl. Math., 60(1995), 115-125.
11. ORTEGA, J.M., RHEINBOLDT, W.C., Iterative Solution of nonlinear equations in several variables, 1st Ed. New York, London, Academic Press, 1970.
12. YPMA, T., Local Convergence of Inexact Newton Methods, SIAM J. Numer. Anal., 21 (1984), 583-590.