# AssociatedEquations(R, L)ΒΆ

lodof.spad line 236 [edit on github]

AssociatedEquations provides functions to compute the associated equations needed for factoring operators

- associatedEquations: (L, PositiveInteger) -> Record(minor: List PositiveInteger, eq: L, minors: List List PositiveInteger, ops: List L) if R has Field
`associatedEquations(op, m)`

returns`[w, eq, lw, lop]`

such that`eq(w) = 0`

where`w`

is the given minor, and`lw_i = lop_i(w)`

for all the other minors.

- associatedSystem: (L, PositiveInteger) -> Record(mat: Matrix R, vec: Vector List PositiveInteger)
`associatedSystem(op, m)`

returns`[M, w]`

such that the`m`

-th associated equation system to`L`

is`w' = M w`

.