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