ZHPSV Example

To solve the equations

Ax = b,

where A is the Hermitian matrix

A = $\displaystyle \left(\vphantom{ \begin{array}{cccc} -1.84 & 0.11 - 0.11 i & -1... ... 3.91 + 1.50 i & 2.21 - 0.21 i & 1.58 + 0.90 i & -1.36 \end{array} }\right.$ $\displaystyle \begin{array}{cccc} -1.84 & 0.11 - 0.11 i & -1.78 - 1.18 i & 3.9... ...0.90 i \\ 3.91 + 1.50 i & 2.21 - 0.21 i & 1.58 + 0.90 i & -1.36 \end{array}$ $\displaystyle \left.\vphantom{ \begin{array}{cccc} -1.84 & 0.11 - 0.11 i & -1... ... 3.91 + 1.50 i & 2.21 - 0.21 i & 1.58 + 0.90 i & -1.36 \end{array} }\right)$

and

b = $\displaystyle \left(\vphantom{ \begin{array}{c} 2.98 - 10.18 i \\ -9.58 + 3.88 i \\ -0.77 - 16.05 i \\ 7.79 + 5.48 i \end{array} }\right.$ $\displaystyle \begin{array}{c} 2.98 - 10.18 i \\ -9.58 + 3.88 i \\ -0.77 - 16.05 i \\ 7.79 + 5.48 i \end{array}$ $\displaystyle \left.\vphantom{ \begin{array}{c} 2.98 - 10.18 i \\ -9.58 + 3.88 i \\ -0.77 - 16.05 i \\ 7.79 + 5.48 i \end{array} }\right)$ .

Details of the factorization of A are also output.

Example program
Example data
Example results