[net.math.stat] Matrix inversion

ha@fisher.UUCP (Ha Nguyen) (06/28/85)

I am interested in finding

             n
     _       __              _  -1
    |       \                 | 
    | A - a /__ x(i). t(x(i)) | 
    |_      i=1              _|

where A       : pxp non-singular, symmetric matrix
      x(i)    : p-column vetctor
      t(x(i)) : transpose of x(i).
      a       : real constant   
                                                            
For n=1, the above expression can be expressed in terms of A inverse,x,t(x).
Does anybody know whether a close form exists for n>1 ?
Any reference or hint will be greatly appreciated.
Thanks in advance.
                                         
                                     ha