There exist many adaptive algorithms that can be used in the adaptive antenna array. However, for the adaptive array used in an Anti-Jam GPS system, where multiple users occupy the same frequency band, the adaptive algorithm should have the ability to separate and extract each user's signal simultaneously. It is also preferred that the adaptive algorithm can work without a training sequence, i. e., the algorithm is blind. Only a few algorithms presented in the literature can satisfy the above requirements. Therefore, it is desirable for novel algorithms to be developed so a comparison between the new algorithms and the existing one can be performed such that an optimum one can be chosen.