he matrix
of the summary
(
Reduction
to system of linear algebraic equations for q=1
) comes from
decomposition
of second derivative with respect to an
normalized
basis. Second derivative is unbounded in
.
Not surprisingly, the matrix
has a very large matrix norm. In addition, the term
is small on one side of the interval
and large on another. For this reason the matrix
also has a very high condition number. The presence of matrix
does not make much difference because it has a relatively small matrix norm.
Hence, unless
is very small, we cannot efficiently solve the equation
of the summary
(
Reduction
to system of linear algebraic equations for q=1
).
We now present technique for removing this difficulty.
