Example 2 (from Program LA_GELS_EXAMPLE)

${\bf A}$ on entry: As in Example 1.
${\bf B}(:,1)$ on entry:

$$\begin{array}{cc} {\bf B}(:,1) \\ \begin{array}{\vert r\v... ... \\ 8 \\ -2 \\ \circ \\ \circ \\ \hline \end{array} \end{array}$$

Elements marked $\circ$ need not be set on entry. This extra space is needed for the solution vector $x$.

The call:
CALL LA_GELS( A, B(:,1), 'T', INFO )

${\bf B(:,1)}$ and ${\bf INFO}$ on exit:

$$\begin{array}{c} {\bf B(:,1)} \\ \begin{array}{\vert r\ve... ...y} \hspace{1.00 cm} \begin{array}{c} {\bf INFO} = 0 \end{array}$$

The minimum-norm solution of the system $A^T x = b$ is:

$$x = \left( \begin{array}{rr} 5.96220 \times 10^{-1} \\ 0.1... ...imes 10^{-1} \\ -0.26272 \times 10^{-1} \end{array} \right).$$