all five routines: <a class="rout">zggbal</a> to balance the matrix, <a class="rout" href="zgeqrf_example.html">zgeqrf</a> to perform the <math><mi>Q</mi><mi>R</mi></math>&#xa0;factorization of <math><mi>B</mi></math>, <a class="rout">zunmqr</a> to apply <math><mi>Q</mi></math>&#xa0;to <math><mi>A</mi></math>, <a class="rout">zgghrd</a> to reduce the matrix pair to the generalized Hessenberg form and <a class="rout" href="zhgeqz_example.html">zhgeqz</a> to compute the eigenvalues via the <math><mi>Q</mi><mi