Example

> A = [ 1, 10, 100; 2,-20,200; -100, 3, -30]
 A =
        1         10        100  
        2        -20        200  
     -100          3        -30  
> norm(A)
      330
> norm(A')
      222
> res = balance(A)
 res =
   ab           t            
> res.ab
 Ab =
        1        100        100  
      0.2        -20         20  
     -100         30        -30  
> norm(res.ab)
      150
> norm(res.ab')
      201