Example 1 (from Program LA_GGSVD_EXAMPLE)

$$A = \left( \begin{array}{ccc} 1 & 2 + 2i & 5 -3i \\ 6... ...-i \\ 2 + 2i & -10 + 2i & -5 + i \\ \end{array} \right)$$

Arrays A and B on entry:

$$\begin{array}{c} {\bf A} \\ \begin{array}{\vert rrr\vert} ... ... (2,2) & (-10,2) & (-5,1) \\ \hline \end{array} \end{array}$$

The call:

CALL LA_GGSVD( A, B, ALPHA, BETA, K, L )

A, ALPHA, BETA, K and L on exit:

$$\begin{array}{c} {\bf A} \\ \begin{array}{\vert l@{\hspace... ...\;\; 0.00000,\;\;\; 0.00000) \\ \hline \end{array} \end{array}$$

$$\begin{array}{cc} {\bf ALPHA} \\ \begin{array}{\vert l\ve... ... \begin{array}{c} {\bf K} = 1 \\ {\bf L} = 2 \\ \end{array}$$

The generalized singular values of $(A,\,B)$ and the matrix $R$:

$$\left( \begin{array}{c} \infty \\ 5.64618\\ 2.91303 \en... ...75 -1.55730i \\ 0 & 0 & -12.1680 \end{array} \right) .$$