Track #21: Add partial information: Correcting bug stemming from the...

Track #21: Add partial information: Correcting bug stemming from the differences in QZ calculation under Octave and Matlab: modified PI_gensys to use C.Sims' Lapack zgges based qzcomplex() qz decomposition routine under Octave which gives nearly identical complex results to Matlab QZ (except for transpose of q matrix and few sign changes in the output matrices)

matlab/partial_information/PI_gensys.m

@@ -153,7 +153,16 @@ end
 
 G0pi=eye(n+FL_RANK+NX);
 try
-    [a b q z v]=qz(G0pi,G1pi);
+  % In Matlab: [aa bb q z v w] = qz(a,b) s.t. qaz = aa, qbz = bb % 
+  % In Octave: [aa bb q z v w] = qz(a,b) s.t. q'az = aa, q'bz=bb %
+  % and qzcomplex() extension based on lapack zgges produces same 
+  % qz output for Octave as Matlab qz() does for Matlab thus:
+  if exist('OCTAVE_VERSION')
+    [a b q z]=qzcomplex(G0pi,G1pi);
+    q=q';
+  else
+    [a b q z]=qz(G0pi,G1pi);
+  end
 catch
     try
         lerror=lasterror;