A mesh independence principle for inexact newton-like methods and their discretizations under generalized lipschitz conditions

Applied Mathematics and Computation

Volumn 87, Issue 1, 1997, Pages 15-48

  Argyros, Ioannis K ^a  

^a CAMERON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 16444378063     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(96)00219-6     Document Type: Article

References (5)

1. E. L. Allgower, K. Böhmer, F. A. Potra, and W. C. Rheinboldt, A mesh-independence principle for operator equations and their discretizations, SIAM J. Numer. Anal. 23, 1, (1986), 160-169.
2. I. K. Argyros, A mesh independence principle for operator equations and their discretizations under mild differentiability conditions, Computing 45, (1990), 265-268.
3. I. K. Argyros, On the discretization of Newton-like methods, Internat. J. Computer. Math. Vol. 52, (1994), 161-170.
4. P. Deuflhard, and F. Potra, Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem, SIAM J. Numer. Anal. Vol. 29, No. 5, (1992), 1395-1412.
5. L. V. Kantorovich, and E. P. Akilov, Functional Analysis in Normed Spaces, Pergamon Press, New York, 1964.