Convergence properties of some block Krylov subspace methods for multiple linear systems

[摘要] In the present paper, we give some convergence results of the global minimal residual methods and the global orthogonal residual methods for multiple linear systems. Using the Schur complement formulae and a new matrix product, we give expressions of the approximate solutions and the corresponding residuals. We also derive some useful relations between the norm of the residuals. (c) 2005 Elsevier B.V. All rights reserved.

[发布日期] 2006-11-15

[关键词] global FOM;global GMRES;matrix Krylov subspace;iterative methods;multiple linear systems;Schur complement