MODE Specification (MATRIX-END MATRIX command)

MODE specifies the format of the matrix to be read in. It can be either rectangular or symmetric. If the MODE specification is omitted, the default is RECTANGULAR.

RECTANGULAR. Matrix is completely represented in file. Each row begins on a new record, and all entries in that row are present on that and (possibly) succeeding records. This is the default if the MODE specification is omitted.

SYMMETRIC. Elements of the matrix below the main diagonal are the same as those above it. Only matrix elements on and below the main diagonal are read; elements above the diagonal are set equal to the corresponding symmetric elements below the diagonal. Each row is read beginning on a new record, although it may span more than one record. Only a single value is read from the first record, two values are read from the second, and so on.

• If SYMMETRIC is specified, the matrix processor first checks that the number of rows and the number of columns are the same. If the numbers, specified either on SIZE or on the variable reference, are not the same, an error message is displayed and the command is not executed.