ZPBSV Example

To solve the equations

Ax = b,

where A is the Hermitian positive definite band matrix

A = $\displaystyle \left(\vphantom{ \begin{array}{cccc} 9.39 & 1.08 - 1.73 i & 0 &... ...2.65 & -0.33 + 2.24 i \\ 0 & 0 & -0.33 - 2.24 i & 2.17 \end{array} }\right.$ $\displaystyle \begin{array}{cccc} 9.39 & 1.08 - 1.73 i & 0 & 0 \\ 1.08 + 1.... ...0.29 i & 2.65 & -0.33 + 2.24 i \\ 0 & 0 & -0.33 - 2.24 i & 2.17 \end{array}$ $\displaystyle \left.\vphantom{ \begin{array}{cccc} 9.39 & 1.08 - 1.73 i & 0 &... ...2.65 & -0.33 + 2.24 i \\ 0 & 0 & -0.33 - 2.24 i & 2.17 \end{array} }\right)$

and

b = $\displaystyle \left(\vphantom{ \begin{array}{cc} -12.42 + 68.42 i \\ -9.93 + 0.88 i \\ -27.30 - 0.01 i \\ 5.31 + 23.63 i \end{array} }\right.$ $\displaystyle \begin{array}{cc} -12.42 + 68.42 i \\ -9.93 + 0.88 i \\ -27.30 - 0.01 i \\ 5.31 + 23.63 i \end{array}$ $\displaystyle \left.\vphantom{ \begin{array}{cc} -12.42 + 68.42 i \\ -9.93 + 0.88 i \\ -27.30 - 0.01 i \\ 5.31 + 23.63 i \end{array} }\right)$ .

Details of the Cholesky factorization of A are also output.

Example program
Example data
Example results