Abstract
Block Krylov subspace methods are efficient iterative methods for solving linearsystems with multiple right-hand sides. The Block BiCGGR method is one of the Block Krylov subspace methods, and can generate highly accurate approximatesolutions. However, when the number of right-hand sides is large, this method becomes numerically unstable. In this paper, the Block BiCGGR2 method is proposed. This method is a numerically stable and highly accurate method than the Block BiCGGR method and the Block BiCGSTAB method. Numerical results illustrate the robustness and the accuracy of the approximate solutions of the Block BiCGGR2 method.
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