You are an expert in writing code in many different languages. Your goal is to perform code completion for the following code, keeping in mind the rest of the code and the file meta data.
    Metadata details:
    filename: seqkl_update.m
    path of file: ./repos/imtsl/libs/IncPACK2
    
    the code of the file until where you have to start completion: function [S,k] = seqkl_update(whch,m,n,i,k,lup,kmin,kmax,extrak,ttype,thresh,S,debug,lambda);

% [S,knew] = seqkl_update(whch,M,N,I,k,lup,kmin,kmax,extrak,ttype,thresh,S,debug);
%
% Input:
% SEQKL_U is m by k+lup  where the first k columns are U and the next lup are Ai

    
function [S,k] = seqkl_update(whch,m,n,i,k,lup,kmin,kmax,extrak,ttype,thresh,S,debug,lambda);

% [S,knew] = seqkl_update(whch,M,N,I,k,lup,kmin,kmax,extrak,ttype,thresh,S,debug);
%
% Input:
% SEQKL_U is m by k+lup  where the first k columns are U and the next lup are Ai
% SEQKL_V is n by k+lup
% S is k+lup by 1
%
   global SEQKL_U SEQKL_V

   o = k+1;
   op = k+lup;
   ip = i+lup-1;

   % new data Ai is stored in U(1:m,o:op);
   if debug,
      % save a copy for below
      Ai = SEQKL_U(1:m,o:op);
   end