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On a fast Arnoldi method for BML matrices by Beckermann, Bernhard; Mertens, Clara; Vandebril, Raf is a scholarly article available to read on EtoBox.

What is On a fast Arnoldi method for BML matrices about?

Matrices whose adjoint is a low rank perturbation of a rational function of the matrix naturally arise when trying to extend the well known Faber-Manteuffel theorem, which provides necessary and sufficient conditions for the existence of a short Arnoldi recurrence. We show that an orthonormal Krylov basis for this class of matrices can be generated by a short recurrence relation based on GMRES residual vectors. These residual vectors are computed by means of an updating formula. Furthermore, the underlying Hessenberg matrix has an accompanying low rank structure, which we will investigate closely.

Author

Beckermann, Bernhard; Mertens, Clara; Vandebril, Raf

Published

2017

Language

EN