A note on ℝ‐linear GMRES for solving a class of ℝ‐linear systems

Kui Du, Olavi Nevanlinna · Numerical Linear Algebra with Applications · 2011

SUMMARY We prove that ℝ‐linear GMRES for solving a class of ℝ‐linear systems is faster than GMRES applied to the related ℂ‐linear systems in terms of matrix–vector products. Numerical examples are given to demonstrate the theoretical result. Copyright © 2011 John Wiley & Sons, Ltd.

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