This paper gives an analysis and an evaluation of linear algebra operations on Graphics Processing Unit (GPU) with complex number arithmetics with double precision. Knowing the performance of these operations, iterative Krylov methods are considered to solve the acoustic problem efficiently. Numerical experiments carried out on a set of acoustic matrices arising from the modelisation of acoustic phenomena within a cylinder and a car compartment are exposed, exhibiting the performance, robustness and efficiency of our algorithms, with a ratio up to 27x for dot product, 10x for sparse matrix-vector product and solvers in complex double precision arithmetics.

翻译：本文件对具有复杂数字算术的图形处理股(GPU)的线性代数操作进行了分析和评估。了解这些操作的性能,可考虑采用迭接的Krylov方法来有效解决声学问题。对气瓶和汽车舱内声学现象模型化产生的一组声学矩阵进行了数字实验,展示了我们算法的性能、稳健性和效率,对点产品的比率高达27x,对稀薄的矩阵病毒产品和复杂的双精度算术的求解器的比率为10x。