function sys = unblkdiag(F) % UNBLOCKDIAG Extracts diagonal blocks % % G = unblkdiag(F) Detects and converts block diagonal SDP. % % See also DISSECT switch class(F) case 'lmi' sys = ([]); for i = 1:length(F) if is(F(i),'sdp') % SDP Z = sdpvar(F(i)); X = spy(Z); [v,dummy,r,dummy2]=dmperm(X); if v==dummy & length(r)>2 linearblocks = []; % Simple diagonal terms; for blocks = 1:length(r)-1 r1 = r(blocks); r2 = r(blocks+1)-1; if r2>r1 sys = sys + (Z(v(r1:r2),v(r1:r2))>=0); else linearblocks = [linearblocks v(r1)]; end end if ~isempty(linearblocks) D=diag(Z); sys = sys+(D(linearblocks)>=0); end else sys = sys + F(i); end else sys = sys + F(i); end end case 'sdpvar' sys = {}; Z = F; X = spy(Z); [v,dummy,r,dummy2]=dmperm(X); if v==dummy & length(r)>2 for blocks = 1:length(r)-1 r1 = r(blocks); r2 = r(blocks+1)-1; sys{end+1} = Z(v(r1:r2),v(r1:r2)); end else sys{1} = Z; end otherwise error('Heh') end