ZGGES Example

To find the generalized Schur factorization of the matrix pair $\left(\vphantom{A, B}\right.$ A, B $\left.\vphantom{A, B}\right)$ , where

A = $\displaystyle \left(\vphantom{ \begin{array}{rrrr} -21.10 - 22.50i & 53.50 - ... ....40i & 14.40 + 43.30i & -32.50 - 46.00i & -19.00 - 32.50i \end{array} }\right.$ $\displaystyle \begin{array}{rrrr} -21.10 - 22.50i & 53.50 - 50.50i & -34.50 + ... ... 5.50 + 4.40i & 14.40 + 43.30i & -32.50 - 46.00i & -19.00 - 32.50i \end{array}$ $\displaystyle \left.\vphantom{ \begin{array}{rrrr} -21.10 - 22.50i & 53.50 - ... ....40i & 14.40 + 43.30i & -32.50 - 46.00i & -19.00 - 32.50i \end{array} }\right)$

and

B = $\displaystyle \left(\vphantom{ \begin{array}{rrrr} 1.00 - 5.00i & 1.60 + 1.20... ....00 + 1.00i & -1.80 + 2.40i & 0.00 - 4.00i & 4.00 - 5.00i \end{array} }\right.$ $\displaystyle \begin{array}{rrrr} 1.00 - 5.00i & 1.60 + 1.20i & -3.00 + 0.00i ... ...i \\ 0.00 + 1.00i & -1.80 + 2.40i & 0.00 - 4.00i & 4.00 - 5.00i \end{array}$ $\displaystyle \left.\vphantom{ \begin{array}{rrrr} 1.00 - 5.00i & 1.60 + 1.20... ....00 + 1.00i & -1.80 + 2.40i & 0.00 - 4.00i & 4.00 - 5.00i \end{array} }\right)$ .

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