tion:This paper1 describes the Criss-Cross Method of solving linear programming problems.This paper1 describes the Criss-Cross Method of solving linear programming problems.The method, a primal-dualschemenormally begins with a roblem solution that is neither primal nor dual feasible, and generates an optimal feasible solution in a finite number of iterations. Convergence of the method is proved and flow charts of the method are presented. The method has been programmed in FORTRAN and has been RUN on a number of COMPUTERS including the IBM 1620, the IBM 7044, the CDC G-20, and the CDC 6400. A number of problems have been solved using the Criss-Cross method, and some comparisons between the Criss-Cross method and the Simplex method have been made. The results, THOUGH scanty, are favorable for the Criss-Cross method.This paper1 describes the Criss-Cross Method of solving linear programming problems.The method, a primal-dualschemenormally begins with a roblem solution that is neither primal nor dual feasible, and generates an optimal feasible solution in a finite number of iterations. Convergence of the method is proved and flow charts of the method are presented. The method has been programmed in FORTRAN and has been run on a number of computers including the IBM 1620, the IBM 7044, the CDC G-20, and the CDC 6400. A number of problems have been solved using the Criss-Cross method, and some comparisons between the Criss-Cross method and the Simplex method have been made. The results, though scanty, are favorable for the Criss-Cross method.A means of using the product form of the inverse with the Criss-Cross method is also discussed.