Indices of convexity and concavity. Application to Halley method.
-
1
Universidad de La Rioja
info
ISSN: 0096-3003
Argitalpen urtea: 1999
Alea: 103
Zenbakia: 1
Orrialdeak: 27-49
Mota: Artikulua
Beste argitalpen batzuk: Applied Mathematics and Computation
Laburpena
We define an index to measure the convexity of a convex function f at each point. We use this index to establish conditions on the convergence of the Halley method in the complex plane and in Banach spaces.