ZPTSVX Example

To solve the equations

Ax = b,

where A is the Hermitian positive definite tridiagonal matrix

A = $$\left(\vphantom{ \begin{array}{ccccc} 16.0 & 16.0 - 16.0 i & 0 ... ...0 i & 46.0 & 1.0 + 4.0 i \\ 0 & 0 & 1.0 - 4.0 i & 21.0 \end{array} }\right.$$$$\begin{array}{ccccc} 16.0 & 16.0 - 16.0 i & 0 & 0 \\ 16.0 + 1... ...18.0 - 9.0 i & 46.0 & 1.0 + 4.0 i \\ 0 & 0 & 1.0 - 4.0 i & 21.0 \end{array}$$$$\left.\vphantom{ \begin{array}{ccccc} 16.0 & 16.0 - 16.0 i & 0 ... ...0 i & 46.0 & 1.0 + 4.0 i \\ 0 & 0 & 1.0 - 4.0 i & 21.0 \end{array} }\right)$$

and

b = $$\left(\vphantom{ \begin{array}{rr} 64.0 + 16.0 i & -16.0 - 32.0... ...0.0 i & 71.0 - 74.0 i \\ 14.0 - 27.0 i & 35.0 + 15.0 i \end{array} }\right.$$$$\begin{array}{rr} 64.0 + 16.0 i & -16.0 - 32.0 i\\ 93.0 + 62.... ... 78.0 - 80.0 i & 71.0 - 74.0 i \\ 14.0 - 27.0 i & 35.0 + 15.0 i \end{array}$$$$\left.\vphantom{ \begin{array}{rr} 64.0 + 16.0 i & -16.0 - 32.0... ...0.0 i & 71.0 - 74.0 i \\ 14.0 - 27.0 i & 35.0 + 15.0 i \end{array} }\right)$$.

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

Example program
Example data
Example results