Krylov subspace methods with fixed memory requirements: Nearly Hermitian
linear systems and subspace recycling. Temple University, 2012, (PhD Thesis, Supervisor: Daniel B. Szyld).
Abstract
Krylov subspace iterative methods provide an effective tool for reducing
the solution of large linear systems to a size for which a direct
solver may be applied. However, the problems of limited storage and
speed are still a concern. Therefore, in this dissertation work,
we present iterative Krylov subspace algorithms for non-Hermitian
systems which do have fixed memory requirements and have favorable
convergence characteristics.
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@phdthesis{S.2012, title = {Krylov subspace methods with fixed memory requirements: Nearly Hermitian linear systems and subspace recycling}, author = {Kirk M. Soodhalter}, year = {2012}, date = {2012-01-01}, urldate = {2012-01-01}, school = {Temple University}, abstract = {Krylov subspace iterative methods provide an effective tool for reducing the solution of large linear systems to a size for which a direct solver may be applied. However, the problems of limited storage and speed are still a concern. Therefore, in this dissertation work, we present iterative Krylov subspace algorithms for non-Hermitian systems which do have fixed memory requirements and have favorable convergence characteristics.}, note = {PhD Thesis, Supervisor: Daniel B. Szyld}, keywords = {thesis}, pubstate = {published}, tppubtype = {phdthesis} }