ZHPSVX 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 = $\displaystyle \left(\vphantom{ \begin{array}{cc} 2.98 - 10.18 i & 28.68 - 39.... ...i & 4.23 - 70.02 i \\ 7.79 + 5.48 i & -35.39 + 18.01 i \end{array} }\right.$ $\displaystyle \begin{array}{cc} 2.98 - 10.18 i & 28.68 - 39.89 i \\ -9.58 +... ... - 16.05 i & 4.23 - 70.02 i \\ 7.79 + 5.48 i & -35.39 + 18.01 i \end{array}$ $\displaystyle \left.\vphantom{ \begin{array}{cc} 2.98 - 10.18 i & 28.68 - 39.... ...i & 4.23 - 70.02 i \\ 7.79 + 5.48 i & -35.39 + 18.01 i \end{array} }\right)$ .

Error estimates for the solutions, and an estimate of the reciprocal of the condition number of the matrix A are also output.

Example program
Example data
Example results