Next: Generating the final from
Up: The secondary Trust-Region subproblem
Previous: Generating .
  Contents
Having generated
and
in the ways that have
been described, the algorithm sets
to a linear combination of
these vectors, but the choice is not restricted to
or
as suggested in the introduction of this
chapter(unless
and
are nearly or exactly
parallel). Instead, the vectors
and
of unit
length are found in the span of
and
that
satisfy the condition
and
. The final
will be a combination of
and
.
If we set:
We have
 |
(5.8) |
We will now find
such
that
:
Using
We
obtain
Using the value of
from Equation 5.10 in Equation
5.9 give the required
and
.
Next: Generating the final from
Up: The secondary Trust-Region subproblem
Previous: Generating .
  Contents
Frank Vanden Berghen
2004-04-19