A method for processing a multidimensional array object in which a multidimensional array is implemented by an array of array objects. The multidimensional array object comprises array objects which constitute the multidimensional array. Flags representing that it is possible to optimize a process for elements of the multidimensional array object are added as additional information. The flags are stored in a storage device (main memory for instance). Then, a machine code corresponding to a state of the flags is executed.