rst ILO-1 columns and the last N-IHI rows of A is zero.

  LDA     INTEGER
          The leading dimension of the array A.  LDA &gt;= MAX(1,N).

  B       (input/output) DOUBLE PRECISION array, dimension (LDB, N)
          On entry, the leading N-by-N part of this array must
          contain the matrix B.
          On exit, the leading N-by-N part of this array contains
          the balanced matrix B.
          In particular, the strictly lower triangular part of the
          first ILO-1 columns and the 