CONJUGATE RESIDUAL METHODS FOR ALMOST SYMMETRIC LINEAR SYSTEMS
MEZA, JUAN CAMILO
Doctor of Philosophy
This study concerns the use of conjugate residual methods for the solution of nonsymmetric linear systems arising from seismic inverse problems. We focus on an application which has two distinguishing features. The first feature is that the linear system is not readily available. The second feature is that the linear system is almost symmetric. We state and prove a new convergence theorem for a class of Generalized Conjugate Residual methods which shows that in some cases the perturbed symmetric problem can be solved with an error bound similar to the one for the symmetric case.