ZPPSV Example

To solve the equations

Ax = b,

where A is the symmetric positive definite matrix

A = $\displaystyle \left(\vphantom{ \begin{array}{cccc} 3.23 & 1.51 - 1.92 i & 1.9... ... 0.42 - 2.50 i & -1.18 - 1.37 i & 2.33 + 0.14 i & 4.29 \end{array} }\right.$ $\displaystyle \begin{array}{cccc} 3.23 & 1.51 - 1.92 i & 1.90 + 0.84 i & 0.42 ... ...0.14 i \\ 0.42 - 2.50 i & -1.18 - 1.37 i & 2.33 + 0.14 i & 4.29 \end{array}$ $\displaystyle \left.\vphantom{ \begin{array}{cccc} 3.23 & 1.51 - 1.92 i & 1.9... ... 0.42 - 2.50 i & -1.18 - 1.37 i & 2.33 + 0.14 i & 4.29 \end{array} }\right)$

and

b = $\displaystyle \left(\vphantom{ \begin{array}{c} 3.93 - 6.14 i \\ 6.17 + 9.42 i \\ -7.17 - 21.83 i \\ 1.99 - 14.38 i \end{array} }\right.$ $\displaystyle \begin{array}{c} 3.93 - 6.14 i \\ 6.17 + 9.42 i \\ -7.17 - 21.83 i \\ 1.99 - 14.38 i \end{array}$ $\displaystyle \left.\vphantom{ \begin{array}{c} 3.93 - 6.14 i \\ 6.17 + 9.42 i \\ -7.17 - 21.83 i \\ 1.99 - 14.38 i \end{array} }\right)$ .

Details of the Cholesky factorization of A are also output.

Example program
Example data
Example results