Next: Generating the final from
Up: The secondary TrustRegion 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 TrustRegion subproblem
Previous: Generating .
Contents
Frank Vanden Berghen
20040419