Quasi-inexact-Newton methods with global convergence for solving constrained nonlinear systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 1, 1997, Pages 1-7

  Martínez, José Mario ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Newton methods, global convergence, convex constraints; Newton methods, quasi; Nonlinear systems, inexact

Indexed keywords

EID: 0039727088     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00292-7     Document Type: Article

References (8)

1. R. S. DEMBO, S. C. EISENSTAT AND T. STEIHAUG [1982], Inexact Newton methods, SIAM Journal on Numerical Analysis 14, 400-408.
2. J. E. DENNIS JR. AND R. B. SCHNABEL [1983]: Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall, Englewood Cliffs.
3. S. C. EISENSTAT AND H. F. WALKER [1994], Globally convergent inexact Newton methods, SIAM Journal on Optimization 4, pp. 393-422.
4. R. FLETCHER [1987], Practical Methods of Optimization (2nd edition), John Wiley and Sons, Chichester, New York, Brisbane, Toronto and Singapore.
5. D. N. KOZAKEVICH, J. M. MARTÍNEZ AND S. A. SANTOS [1995]: Solving nonlinear systems of equations with simple constraints , Technical Report, IMECC-UNICAMP, Campinas SP, Brazil.
6. J. M. MARTÍNEZ [1990], Local convergence theory for inexact Newton methods based on structural least-change updates, Mathematics of Computation 55, 143-168.
7. J. M. MARTÍNEZ [1993], A theory of secant preconditioners, Mathematics of Computation 60, 681-698.
8. J. M. MARTÍNEZ [1994], An extension of the theory of secant preconditioners, Journal of Computational and Applied Mathematics 60, pp. 115-125.