luc.maison...@free.fr wrote:
----- "Bill Barker" <wbar...@wilshire.com> a écrit :
I've been looking over the Field<T> implementations, and it looks like
it's
mostly done except for FieldPolynomial<T>. I'm not really sure which
SparseFieldMatrix and SparseFieldVector are also missing for now.
package this should go in, since o.a.c.m.analysis.polynomial seems to
be
about Real polynomials. Any hints would be appreciated.
I'm not sure either.
I wonder if an algebra package would make sense or not. If so, it could contain
the Field top interfaces as well as field polynomials, Z/pZ, rational functions
and BigReal. If such an algebra were created I think polynomials should be
moved there.
Polynomials (and rational functions) are at the boundary between algebra and
analysis, at least when using double coefficients only. When using Field
coefficients, they are more algebra-tainted to me.
What do other people think about this ?
I agree that we could go in this direction and certainly polynomials
over arbitrary fields are algebraic objects, so an algebra package would
make sense if we do this. Building all of this out, however, is sort
of a slippery slope that leads away from an applications-driven applied
math library into a more abstract framework. I have always maintained
that we should introduce mathematical abstractions as we need them, with
"need" driven by applied math problems that we and our users have to
solve. So here I would ask, what applied problems are we trying to
solve and what additional algebraic structure do we need to solve them?
I am not pushing back here, just wanting to understand what applications
people have in mind.
I could provide implementations for SimplePrimeFieldElement
(representing
Z/pZ), and even SimplePadicFieldElement (with a representation similar
to
double). Not certain that it is useful for 2.0 without greatly
delaying the
release. Most algebraist want to use finite extensions as well.
I would really like to see 2.0 be published as soon as possible, but even my
own tasks keep being delayed (ODE for stiff equations, MATH-172). I would like
to target a release near end of May.
+1 - I would really like to get 2.0 out. I should have my stuff wrapped
up in the next couple of weeks.
Phil
Luc
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