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Lattice QCD calculations require significant computational effort, with thedominant fraction of resources typically spent in the numerical inversion ofthe Dirac operator. One of the simplest methods to solve such large and sparselinear systems is the conjugate gradient (CG) approach. In this work we presentan implementation of CG that can be executed on different devices, includingCPUs, GPUs, and FPGAs. This is achieved by using the SYCL/DPC++ framework,which allows the execution of the same source code on heterogeneous systems.

Implementation of the conjugate gradient algorithm for heterogeneous systems