International Journal of Engineering and Innovative Technology (IJEIT)
The traditional user of scientific computing prefers to use well proven routines that are recognized by the international scientific community. Among the well-known collections are IMSL, NAG and LINPACK. However, a direct solution method should be used in the case of dense non-structured matrices. If, in addition the co-efficient and the right hand side are integers and an exact solution is desired, the most affordable alternative is to use residual arithmetic on hybrid GPU-accelerated multi-core systems.