Calcul de Weyl et opérateurs sous elliptiques
C. E. Cancelier, J. Y. Chemin, C. J. Xu (1993)
Annales de l'institut Fourier
A. Grigis (1975/1976)
Séminaire Équations aux dérivées partielles (Polytechnique)
Schellhorn, Henry (1997)
Journal of Applied Mathematics and Decision Sciences
Andreas Froomer (1987/1988)
Numerische Mathematik
Stals, Linda (2003)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
G. Alefeld (1986)
Numerische Mathematik
B. Helffer, D. Robert (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
A.P. Morgan, A.J. Sommese, ... (1990/1991)
Numerische Mathematik
Vlastimil Pták (1975)
Commentationes Mathematicae Universitatis Carolinae
Pierre Schapira (1979)
Journées équations aux dérivées partielles
M. Derridj (1977/1978)
Séminaire Équations aux dérivées partielles (Polytechnique)
J.W. Schmidt, W. Hoyer, Ch. Haufe (1985)
Numerische Mathematik
Bernard Helffer (1977)
Mémoires de la Société Mathématique de France
Dey, S.K. (1981)
International Journal of Mathematics and Mathematical Sciences
Robert Schaback (1985)
Numerische Mathematik
Ioannis K. Argyros, Said Hilout (2010)
Czechoslovak Mathematical Journal
We provide new sufficient convergence conditions for the convergence of the secant-type methods to a locally unique solution of a nonlinear equation in a Banach space. Our new idea uses recurrent functions, and Lipschitz-type and center-Lipschitz-type instead of just Lipschitz-type conditions on the divided difference of the operator involved. It turns out that this way our error bounds are more precise than earlier ones and under our convergence hypotheses we can cover cases where earlier conditions...
J.C.P. Bus (1976/1977)
Numerische Mathematik
T.J. Ypma (1984)
Numerische Mathematik
L. Elsner, M. Neumann, I. Koltracht (1992)
Numerische Mathematik
L.B. Rall (1975)
Aequationes mathematicae