Abstract:Researchers have long been plagued by the problem of finding an effective approach to solve the Penrose generalized Matrix Inverses of a matrix. First, the determination of the Penrose generalized Matrix Inverses is transformed into the deterinination of the minimal extremum;and then in combination with the advantages of particle swarm optimization and difference algorithm, a hybrid intelligent algorithm is thus designed. And the simulation test shows that the newly developed hybrid intelligent algorithm proves to be effective and feasible in solving the Penrose generalized inverses and is characterized by high accuracy and easy computer execution of computer operation.