GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Topics in matrix analysis
GMRES Convergence Analysis for a Convection-Diffusion Model Problem
SIAM Journal on Scientific Computing
| Hi-index | 0.00 |
We describe algorithms to compute isotropic vectors for matrices with real or complex entries. These are unit vectors b satisfying b * Ab驴=驴0. For real matrices the algorithm uses only the eigenvectors of the symmetric part corresponding to the extreme eigenvalues. For complex matrices, we first use the eigenvalues and eigenvectors of the Hermitian matrix K驴=驴(A驴驴驴A *)/2i. This works in many cases. In case of failure we use the Hermitian part H or a combination of eigenvectors of H and K. We give some numerical experiments comparing our algorithms with those proposed by R. Carden and C. Chorianopoulos, P. Psarrakos and F. Uhlig.