On exit: the current estimate of the largest singular value
${\sigma}_{1}\left(\overline{A}\right)$ of the preconditioned iteration matrix
$\overline{A}={E}^{-1}A{E}^{-\mathrm{H}}$, when either it has been supplied to
f11grf or it has been estimated by
f11gsf (see also
Sections 3 and
5 in
f11grf). Note that if
${\mathbf{its}}<{\mathbf{itn}}$ then
sigmax contains the final estimate. If, on final exit from
f11gsf,
${\mathbf{its}}={\mathbf{itn}}$, the estimation of
${\sigma}_{1}\left(\overline{A}\right)$ may have not converged: in this case you should look at the value returned in
sigerr. Otherwise,
${\mathbf{sigmax}}=0.0$ is returned.