function m = monolistcoeff(n,d,summax) %MONOLISTCOEFF Internal function used in SOS programs % Author Johan Löfberg % $Id: monolistcoeff.m,v 1.5 2005/02/20 17:04:28 johanl Exp $ if length(d)==1 d = repmat(full(d),1,full(n)); end if nargin==2 summax = (sum(d)); end if 0 dmax = sum(d);%max(full(d));%sum(d); base = eye(n); m = base; for i = 1:dmax-1 temp=[]; for k = 1:n temp = [temp;m+repmat(base(k,:),size(m,1),1)]; end ii=find(~any(temp-repmat(d,size(temp,1),1)>0,2)); temp=temp(ii,:); ii=find(~any(sum(temp,2)-summax>0,2)); temp=temp(ii,:); m = [m;temp]; [ii,jj,kk]=uniquesafe(m,'rows'); m = m(jj,:); end % Add constant m = [zeros(1,n);m]; else m = (0:d(1))'; for i = 2:n z = (0:d(i))'; m = [kron(m,ones(size(z,1),1)) kron(ones(size(m,1),1),z)]; [ii,jj,kk]=uniquesafe(m,'rows'); m = m(jj,:); m = m(sum(m,2)<=summax,:); end end m = full(m);