A Study of Ostrowski Efficiency for Composite Iteration Algorithms.
Abstract
The following question is investigated: It is possible for the function composition of Hermite interpolatory iteration algorithms to result in an increase in the Ostrowski efficiency. A detailed investigation is carried out to discover those cases when the answer is yes. Several interesting, new algorithms are uncovered. Each has a theoretical efficiency greater than that of either the secant method or of Newton's method. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1968
- Accession Number
- AD0760340
Entities
People
- Alan Feldstein
- Roger M. Firestone
Organizations
- University of Virginia