and transformation entry counts. A "poor column" is a column for which all the possible pivot entries are below the pivot tolerance. This means that an inverse for the current basis cannot be produced with confidence for computational reasons. Therefore, all such columns are removed from the basis before proceeding. After the first inversion, a message indicating feasibility is printed and the iteration at which feasibility was reached is printed also. The next inversion message is the result of extending the basis after feasibility as mentioned above. Following this is a "row error" message which indicates the amount by which the constraints fail to satisfy exact equality. This is printed automatically after feasibility, optimality or unboundedness is reached. The user can order this to be printed at certain points with the use of the ERRORS control card (see section 7). In addition to error messages and messages regarding optimality, etc. there are three other major types of printed output: Short Output, Row Output, and Primal-Dual Variable Solution Output. These are controlled by the user with the PRMODE control card described in Section 7. At this point, we will describe and interpret them with reference to Sample Problem Number 1. 5.2 Short Output The Short Output consists of the four lines printed below the "optimal solution" message on the initial page of Figure 3. The (3) is the output condition which caused this output to be printed. The meaning of this is explained in the PRMODE discussion also. The next two names, "MATRIX" and "RHS", are the names for the current matrix and right hand side. They are problem identification parameters that can be set by the user by including the desired identifiers in columns 1 to 6 of the card preceding MATRIX and/or RHS. The names in Figure 3 are the default names. The rest of the line contains the following information: --current iteration count --number of pivots performed --number of infeasibilities --the determinant of the matrix formed by the basis vectors