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Lecture Notes in Electrical Engineering
We discuss the numerical solution of successive linear systems of equations Ax = b i , i = 1, 2, . . . m, by iterative methods based on recycling Krylov subspaces. We propose various recycling algorithms which are based on the generalized conjugate residual (GCR) method. The recycling algorithms reuse the descent vectors computed while solving the previous linear systems Ax = b j , j = 1, 2, . . . , i − 1, such that a lot of computational work can be saved when solving the current system Ax = bdoi:10.1007/978-94-007-0089-5_6 fatcat:grmmqesqovfhvj6ksnchokeace