Krylov Subspace Method with Communication Avoiding Technique for Linear System Obtained from Electromagnetic Analysis

Communication-avoiding Krylov subspace methods

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Avoiding Krylov Subspace Methods

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Communication-Avoiding Krylov Subspace Methods in Theory and Practice

Communication-Avoiding Krylov Subspace Methods in Theory and Practice

Avoiding Communication in Two-Sided Krylov Subspace Methods

Preconditioning  Krylov Subspace Methods are commonly used for solving linear system  Standard implementations are communication-bound due to required SpMV and orthogonalization in every iteration  Solution: rearrange algorithms to perform s iterations at a time without communicating (s-step methods)  SpMV in each iteration is replaced with a call to the Matrix Powers Kernel, which performs...

Krylov subspace methods for solving linear systems