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Krylov Methods for Nonsymmetric Linear Systems [2020]

1
Introduction
2
Notation, definitions and tools
3
Q-OR and Q-MR methods
4
Bases for Krylov subspaces
5
FOM/GMRES and variants
6
Methods equivalent to FOM or GMRES
7
Hessenberg/CMRH
8
BiCG/QMR and Lanczos algorithms
9
Transpose-free Lanczos methods
10
The IDR family
11
Restart, deflation and truncation
12
Related topics
13
Numerical comparisons of methods
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