  This paper deals with linear algebra operations on Graphics Processing Unit
(GPU) with complex number arithmetic using double precision. An analysis of
their uses within iterative Krylov methods is presented to solve acoustic
problems. Numerical experiments performed on a set of acoustic matrices arising
from the modelisation of acoustic phenomena inside a car compartment are
collected, and outline the performance, robustness and effectiveness of our
algorithms, with a speed-up up to 28x for dot product, 9.8x for sparse
matrix-vector product and solvers.
