zgtsv example program

This example solves the equations

A x = b,

where

A

is the tridiagonal matrix

A = (\begin{array}{r} - 1.3 + 1.3 i & 2.0 - 1.0 i & 0 & 0 & 0 \\ 1.0 - 2.0 i & - 1.3 + 1.3 i & 2.0 + 1.0 i & 0 & 0 \\ 0 & 1.0 + 1.0 i & - 1.3 + 3.3 i & - 1.0 + 1.0 i & 0 \\ 0 & 0 & 2.0 - 3.0 i & - 0.3 + 4.3 i & 1.0 - 1.0 i \\ 0 & 0 & 0 & 1.0 + 1.0 i & - 3.3 + 1.3 i \end{array})

and

b = (\begin{array}{r} 2.4 - 5.0 i \\ 3.4 + 18.2 i \\ - 14.7 + 9.7 i \\ 31.9 - 7.7 i \\ - 1.0 + 1.6 i \end{array}) .

Example program for zgtsv