Example (from Program LA_GESVX_EXAMPLE)

The results below are computed with $\epsilon = 1.19209 \times 10^{-7}$.
$A$ and $B$ are the same as in Example 1 for LA_GESV.
The call:

 CALL LA_GESVX(A, B, X, FERR=FERR, BERR=BERR, & 


RCOND=RCOND, RPVGRW=RPVGRW )  

FERR, BERR, RCOND and RPVGRW on exit:

$$\begin{array}{c} \\ \begin{array}{c} {\bf FERR} \\ \begin{ar... ...9 \times 10^{-8} \\ \hline \end{array} \end{array} \end{array}$$

$$\begin{array}{cc} {\bf RCOND} = 1.14296 \times 10^{-2} & {\bf RPVGRW} = 1.12500 \end{array}$$

The forward and backward errors of the three solution vectors are:

$$\begin{array}{c} \\ \left( \begin{array}{ccc} 4.66608 \times... ...-8} & 1.83399 \times 10^{-8} \end{array} \right). \end{array}$$

The estimate of the reciprocal condition number of $A$ is $1.14296 \times 10^{-2}$.
The reciprocal pivot growth factor is 1.12500.
The solution of the system $A\,X = B$ is:

$$X = \left( \begin{array}{rrr} 1.00000 & 2.00000 & 3.00000 ... ...3.00000 \\ 1.00000 & 2.00000 & 3.00000 \end{array} \right).$$