  mnorm
  Builtin Function



      SSyynnooppssiiss
        Compute the matrix norm.

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

        mnorm ( _A , _T_Y_P_E )


      DDeessccrriippttiioonn
        The first form defaults to computing the 1-norm of the input
        matrix. The second form allows the user to specify the desired
        type of matrix norm with a string argument.



        M or m
           returns max(abs( _A ))


         1, O or o
           return the 1-norm (default), the largest column sum
           (max(sum(abs(A)))).


         2 returns the matrix 2-norm (largest singular value)


         I or i
           returns the infinity-norm, the largest row sum
           (max(sum(abs(A')))).


         F, f, E or e
           returns the Frobenius norm.


        LAPACK subroutines DLANGE and ZLANGE are used to compute all
        norms, except the 2-norm.

        OObbssccuurree ffeeaattuurree:: If _T_Y_P_E is Inf (the output from inf(), for
        example), then norm will compute the Infinity norm of the matrix
        _A.

        Example:
















     > a = magic(4)
            16          2          3         13
             5         11         10          8
             9          7          6         12
             4         14         15          1
     > mnorm ( a )
            34
     > mnorm ( a , "m" )
            16
     > mnorm ( a , "1" )
            34
     > mnorm ( a , "2" )
            34
     > mnorm ( a , "i" )
            34
     > mnorm ( a , inf() )
            34

















































