engleski

Parallel solver for shifted systems in a hybrid CPU-GPU framework

We present a new method for solving linear systems of the form (A-σI)x=B with large number of complex shifts σ and multiple right- hand sides, designed to run on a hybrid CPU-GPU platform in a highly parallel fashion. Numerical experiments demonstrate benefits of the proposed method in applications, e.g., in control theory when computing the transfer function of a system, or as a part of an algorithm performing interpolatory model reduction (IRKA). This is joint work with Nela Bosner and Zlatko Drmač.

GPU ; Hessenberg matrix ; interpolatory model reduction ; parallel solver, pseudo- spectrum ; shifted linear systems ; transfer function

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