Optimal Radius of Convergence of Interpolatory Iterations for Operator Equations.
Abstract
The convergence of the class of direct interpolatory iterations I sub n for a simple zero of a non-linear operator F in a Banach space of finite or infinite dimension is studied. A general convergence result is established and used to show that if F is entire the radius of convergence goes to infinity with n while if F is analytic in a ball of radius of convergence increases to at least R/2 with n. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1976
- Accession Number
- ADA035903
Entities
People
- H. Wozniakowski
- Joseph F. Traub
Organizations
- Carnegie Mellon University