DGTSVX Example

To solve the equations

AX = B,

where A is the tridiagonal matrix

A = $$\left(\vphantom{ \begin{array}{rrrrr} 3.0 & 2.1 & 0 & 0 & 0 \\ ... ... 0 & 0 & 7.0 & -0.9 & 8.0 \\ 0 & 0 & 0 & -6.0 & 7.1 \end{array} }\right.$$$$\begin{array}{rrrrr} 3.0 & 2.1 & 0 & 0 & 0 \\ 3.4 & 2.3 & -1.... ....9 & 0 \\ 0 & 0 & 7.0 & -0.9 & 8.0 \\ 0 & 0 & 0 & -6.0 & 7.1 \end{array}$$$$\left.\vphantom{ \begin{array}{rrrrr} 3.0 & 2.1 & 0 & 0 & 0 \\ ... ... 0 & 0 & 7.0 & -0.9 & 8.0 \\ 0 & 0 & 0 & -6.0 & 7.1 \end{array} }\right)$$  and  B = $$\left(\vphantom{ \begin{array}{rr} 2.7 & 6.6 \\ -0.5 & 10.8 \\ 2.6 & -3.2 \\ 0.6 & -11.2 \\ 2.7 & 19.1 \end{array} }\right.$$$$\begin{array}{rr} 2.7 & 6.6 \\ -0.5 & 10.8 \\ 2.6 & -3.2 \\ 0.6 & -11.2 \\ 2.7 & 19.1 \end{array}$$$$\left.\vphantom{ \begin{array}{rr} 2.7 & 6.6 \\ -0.5 & 10.8 \\ 2.6 & -3.2 \\ 0.6 & -11.2 \\ 2.7 & 19.1 \end{array} }\right)$$.

Estimates for the backward errors, forward errors and condition number are also output.

Example program
Example data
Example results