Fast Block Krylov Subspace Methods for Solving Sequences of Dense MoM Linear Systems with Multiple Right-Hand Sides

For the simultaneous solution of sequences of linear systems with multiple right-hand sides that result from the discretization of boundary integral equations using the Method of Moments, we show experiments using a robust variant of the block GMRES method. To address memory concerns and improve the convergence of block GMRES, the method combines an initial deflation strategy of the set of right-hand sides with an eigenvalue recycling technique. Experiments are presented to prove the method's potential for solving many right-hand side linear systems efficiently, which can sometimes be the computational bottleneck in integral equation-based engineering applications.