  balance
  Builtin Function



      SSyynnooppssiiss
        Balance a matrix for equal row and column norms.

      SSyynnttaaxx
        balance ( _A )

      DDeessccrriippttiioonn
        Balance uses the LAPACK subroutines DGEBAL and ZGEBAL to balance
        the input matrix so that the row and column norms are
        approximately equal.

        balance returns a list with elements _t and _a_b.

        Example:


          > a
                  0          0          1          0
                  0          0          0          1
                 11         10          0          0
                 10         11          0          0
          > </ ab ; t /> = balance(a);
          > inv(t)*a*t - ab
                  0          0          0          0
                  0          0          0          0
                  0          0          0          0
                  0          0          0          0




     Only square matrices are allowed.





























