Krylov Subspace Methods with a Twist
Year: 2025
Type: article
Abstract: Krylov subspace methods are widely used iterative solvers for real or complex linear systems. In this talk, I will advocate that these methods should be viewed as more than just algorithms juggling matrices and vectors. Instead, with a view towards the setting behind the linear systems, we will systematically re-derive a general residual minimizing Krylov subspace method. This leads to a more general view on and implementation of GMRES and further surprises.
Author: Herzog, Roland
Institution: Heidelberg University
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6893411304
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