Maple Package for computing Dixon / Bezout and Dixon Dialytic Resultant
- Download Package
- Procedures/Functions implemented in the package
- DixonMatrix - Fully constructs Dixon Matrix
- DixonPolynomial - Computes Dixon polynomial from which Dixon matrix can
be assembled. Used by "DixonMatrix"
procedure.
- DixonMults - Compute monomial multipliers to construct Dixon Dialytic
matrix.
- Polynomial2Matrix - Given polynomial construct a matrix based on two
sets of variables. Used by "DixonMatrix" procedure.
- ConstructDialyticMatrix - Given polynomials and monomial multipliers
constructs Sylvester-like matrix.
- SizeDialyticMatrix - Determine the size of dialytic matrix without
constructing it.
- RSCCriteria - Test whether a resultant
matrix satisfies RSC criteria (i.e. contains at least one independent
column), see [KSY94].
- RSC - Find list of subset of columns (or rows) so
that maximal minor can be formed.
- More to come ...