The (i,j)-th element of the Jacobian matrix is defined as the derivative of i-th function with respect to the j-th indeterminate.
jacobian(f, indets)
--
where f
(polynomials) and indets
(indeterminates) are
vectors of RingElem
, all belonging to the same PolyRing
.
Throws if both f
and indets
are empty
(cannot determine the ring
for constructing the 0x0 matrix
).
a_11 B | a_12 B | ... | a_1c B |
a_21 B | a_22 B | ... | a_2c B |
... | |||
a_r1 B | a_r2 B | ... | a_rc B |
TensorMat(A, B)
--
where A
and B
are matrices with the same BaseRing.
2011
jacobian
)
TensorMat