Kui Du, Olavi Nevanlinna
Abstract
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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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.
Key concepts: Generalized minimal residual method, Linear system, Mathematics, Class (philosophy), Applied mathematics, System of linear equations, Matrix (chemical analysis), Computer science