New Sampling Three-Term Preconditioned PB Algorithm

In this paper a new sampling three-term preconditioned PB algorithm is developed and implemented.
The proposed sampling algorithm runs parallel to the original PCG Method Once a pair {vk, yk} has been computed by the PCG Method the new sampling algorithm examines the search direction and decides the suitable selected search direction for the proposed algorithm. Numerical results have been done for (50) well-known test functions with different dimensions. The new proposed algorithm is very effective and promising in general