Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9519809 | Comptes Rendus Mathematique | 2005 | 6 Pages |
Abstract
We first show that âFn(A)â⩽2, where A is a linear continuous operator acting in a Hilbert space, and Fn is the Faber polynomial of degree n corresponding to the numerical range of A. Then we deduce several new error bounds based on the numerical range for GMRES, an iterative method for solving non-Hermitian systems of linear equations. To cite this article: B. Beckermann, C. R. Acad. Sci. Paris, Ser. I 340 (2005).
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Bernhard Beckermann,