Article ID Journal Published Year Pages File Type
9519809 Comptes Rendus Mathematique 2005 6 Pages PDF
Abstract
We first show that ‖Fn(A)‖⩽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)
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