Next: A few polynomial equations
When doing analysis, there is often an
algebraic component to the calculations.
This algebraic component involves
a collection of
polynomial equations in a finite
number of variables which are to be evaluated
at elements of some algebra -- the algebra might be
n × n
matrices, bounded linear transformations
on a complex separable Hilbert space or a variety of
This paper concerns
algorithms which assist in transforming the collection
of equations into a more suitable form.
In this paper, we will blur
the difference between the polynomial equation
p = q and the polynomial p - q.
An algebraist would say that
p is a relation and an analyst would say that
p = 0 is a polynomial equation. The difference in
language does not lead to problems.
Wed Jul 3 10:27:42 PDT 1996