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A note on ℝ‐linear GMRES for solving a class of ℝ‐linear systems
Author(s) -
Du Kui,
Nevanlinna Olavi
Publication year - 2012
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.769
Subject(s) - generalized minimal residual method , linear system , mathematics , class (philosophy) , system of linear equations , matrix (chemical analysis) , computer science , mathematical analysis , materials science , artificial intelligence , composite material
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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