Usage
adjoint L
Parameter | Type | Description |
---|---|---|
L |
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A difference operator |
Returns
Returnswhere
is the adjoint of
andis the product in
.
Remarks
Because adjoint(L) returnsrather than the adjoint
, it follows that adjoint(adjoint(L)) returns
rather than L.
Example
It can happen thathas a nontrivial rational kernel, while
has a trivial one:
1 --> L := (n+2)*E^2 + (n^2+3*n+2)*E - n^2 - 3*n - 2; 2 --> tex(kernel(L));
3 --> La := adjoint(L); 4 --> tex(La);
5 --> tex(kernel(La));
We also verify that:
6 --> tex(L * E^(degree(L)) - E^(degree(L)) * adjoint(La));