Kirk M. Soodhalter

Constraints on admissible behavior of GMRES applied to tridiagonal Toeplitz systems

The result of Greenbaum, Pt\'ak, and Strako\v{s} that for a given set of eigenvalues, any convergence curve is possible [SIMAX 1996] and the subsequent parameterization of such matrix-right-hand side pairs $(A,\mathbf{b})$ of Arioli, Pt\'ak, and Strako\v{s} [BIT 1998] demonstrated that the behavior of the GMRES could n...