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OreTools[AdjointRing] - construct the adjoint of a given Ore polynomial ring
OreTools[AdjointOrePoly] - compute the adjoint Ore polynomial in a given Ore ring
Calling Sequence
AdjointRing(A)
AdjointOrePoly(Poly, A)
Parameters
Poly
-
Ore polynomial; to define an Ore polynomial, use the OrePoly structure.
A
Ore ring; to define an Ore ring, use the SetOreRing function.
Description
The AdjointRing(A) calling sequence constructs the adjoint of A.
The AdjointOrePoly(Poly, A) calling sequence computes the adjoint Ore polynomial of the polynomial Poly in A.
An Ore polynomial ring is defined vi SetOreRing. For a description of the adjoint of an Ore polynomial ring, see OreAlgebra.
Examples
Define the shift polynomial ring.
Construct the adjoint Ore polynomial ring B of A.
Construct the adjoint Ore polynomial ring C of B. The ring C must be the same as A.
Define two Ore polynomials P1 and P2 in A.
Compute the adjoint operators of P1 and P2 in A.
Multiply adjP1 and adjP2 in the adjoint B of A.
See Also
OreTools, OreTools/OreAlgebra, OreTools/OrePoly, OreTools[Properties], OreTools[SetOreRing]
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