techniques for solving linear gleichungssystemen with several right-hand sides by krylov - unterraumerweiterung

摘要

one embodiment is a method to solve linear of, the same matrix a which, with several vectors in the right side is coupled.for each new vector of the right side of a lu00f6sungsmechanismus extends an existing krylov - unterraum on the basis of the krylov - unterraums and datawith the previous vector of the right side are linked.the lu00f6sungsmechanismus will then use the enlarged krylov - unterraum to the linear system of equations for the new vector of the right side, approximately, to solve.by expanding krylov - unterraums for each new vector of the right side of the lu00f6sungsmechanismus continuously uses information from previous vectors of the right side of vorteilhaft.vorteilhafterweise is the extend of krylov - unterraums rechentechnisch faster than known techniques.about creating a new krylov - unterraums or transform an existing krylov - unterraums.therefore, through the establishment of the techniques, the probability of unterschreitens revealed by time constraints, the algorithms accompanythe solving of certain classes of include linear, will be reduced.