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math.NA2025
Convergence Analysis of Optimal SOR for a Class of Consistently Ordered 2-Cyclic Matrices with Complex Spectra
L. Robert Hocking, Chen Greif
Asymptotic rates of convergence of optimal SOR applied to linear systems with consistently ordered 2-cyclic matrices have been extensively studied in the case where the Jacobi eige…
math.NA2025
GMRES Convergence Analysis for Nonsymmetric Saddle-Point Systems When the Field of Values Contains the Origin
Hao Chen, Chen Greif
We present a field-of-values (FOV) analysis for preconditioned nonsymmetric saddle-point linear systems, where zero is included in the field of values of the matrix. We rely on rec…