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Deflation based Krylov subspace methods for sequences of linear systems / von Dipl.-Math. Nemanja Božović. Wuppertal, [2017?]
Inhalt
Acknowledgements
Introduction
Outline
Basic Concepts
Projectors
Projection Methods
Krylov Subspaces
The Arnoldi Process
Ritz and Harmonic Ritz Pairs
GMRES, GCR and Deflation
GMRES
Restarted GMRES
GCR
GMRESR
GCRO
Augmented and Deflated Krylov Subspace Methods
Augmentation and Deflation
GMRES with Eigenvectors
GMRES-DR
Loose GMRES
Preconditioning
Krylov Subspace Recycling
Optimal Truncation
GCRO-DR
Convergence Analysis
Loose GCRO-DR
Truly Deflated GMRES
Left-Right Deflated GMRES
Loose Left-Right Deflated GMRES
Applications and Numerical Results
Fatigue and Fracture Problems in Mechanics
Comparison of Deflated and Truly Deflated GMRES
Matrix Market Collection
Korringa-Kohn-Rostoker Method
Lattice Quantum Chromo Dynamics
Red-Black Multiplicative Schwarz Method
Diagonal Similarity Transformations
Gauge Fixing
A Variation of LRDGMRES
Conclusion and Outlook
List of Figures
List of Tables
List of Algorithms
Bibliography