Maximal Stationary Iterative Methods for the Solution of Operator Equations,
Abstract
The author studies stationary iterative methods of maximal order for calculating zeros of operator equations. These methods use the values of the operator and its first s Frechet derivatives at n previous iteration points. A sufficient condition is introduced for an iterative method to have maximal order in a certain class of admissible methods. The maximality of the interpolatory method (I sub n,s) is proved in the scalar case. For the m dimensional case, 2 < or = m < or = + infinity, the author proves that interpolatory iteration is maximal for n = 0 in the class of iterations using values of the first s derivatives at n previous points. Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1973
- Accession Number
- AD0777445
Entities
People
- Henryk Wozniakowski
Organizations
- Carnegie Mellon University