APPENDIX E


 EXPANDING PROBLEM DIMENSIONS


 LCRAND and RANDQP have an upper limit on the size of problem matrix
they can handle. There are FORTRAN arrays defined in the XBLANK COMMON
block which establish this and several other dimension specifications
for the program. The standard versions of LCRAND and RANDQP have this
limit set to 500 rows.
 The figure of 500 rows refers to the dimension of the M matrix in
an LCP problem. This is actually the sum of the number of rows and
columns in the A matrix.
 There also is a limit of approximately 6000 non-zero elements that
can be stored for the matrix tableau. This figure, however, refers to
the number of non-zero elements in Q and A. The -AT section is not
included in this figure.
 It is also necessary to be aware of the fact that the inverse of the
matrix must be stored. This can be a problem when the inverse becomes
too large for the amount of storage available. If an error message
occurs to this effect, it may be necessary to expand the region requested
or job size specification on the JOB card. This will generally be
sufficient to handle the problem.
 If the user desires to expand the maximum dimensions of LCRAND or
RANDQP it is necessary to change lines 2 and 3 of the XBLANK COMMON in
the main program and the BEGIN subroutine. Also, the DATA statement
specifying MINDM1, MINDM2, and MINDM3 should be changed.
 A formula for setting the dimensions is described below.