DOWNLOAD POSTER PDFWe implement the Kaczmarz row-projection algorithm (Kaczmarz (1937)) on a CPU host + FPGA accelerator platform using techniques of dataflow programming. This algorithm is then used as the preconditioning step in CGMN, a modified version of the conjugate gradients method (Björck and Elfving (1979)) that we use to solve the time-harmonic acoustic isotropic constant-density wave equation. Using one accelerator we speed-up the solution of the wave equation for one source by 2× compared with one Intel core.