4 papers
Classification of Double Saddle-Point Systems
Susanne Bradley, Chen Greif
We offer a classification of a broad and practically relevant class of symmetric double saddle-point system. At the core of the paper is the division of the associated matrices int…
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…
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…
Eigenvalue Bounds for Saddle-Point Systems with Singular Leading Blocks
Susanne Bradley, Chen Greif
We derive bounds on the eigenvalues of saddle-point matrices with singular leading blocks. The technique of proof is based on augmentation. Our bounds depend on the principal angle…