The emergence of multi-core and heterogeneous architectures requires the processing of a number of linear algebra algorithms to take advantage of accelerators, such as graphics processors. There is a difficult class of problems involving linear algebra operations for thousands of smalldimensional matrices. Batched computations continue to have a wide range of applications in scientific calculations. Their goal is to more efficiently transfer the application of algorithms to high-performance multi-core architectures. Some operations of linear algebra are presented in this work for complex Hermitian small matrices, which are grouped together under the name of Batched BLAS. In this work the performances of the complex Hermitian Batched matrixmatrix multiplication, matrix-vector multiplication and 2nd rank update operations are presented on NVIDIA Tesla K40c graphics processor with the use of MAGMA library