Jacobian matrix of a vector function
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jacobian(v, x) computes the Jacobian matrix
of the vector function with
respect to .
v is a vector then the component ring
v must be a field (i.e., a domain of category
Cat::Field) for which differentiation
with respect to
x is defined.
v is given as a list of arithmetical expressions,
jacobian returns a matrix with the standard
The Jacobian matrix of the vector function is:
delete x, y, z: jacobian([x^3, x*z, y+z], [x, y, z])
A list of arithmetical expressions, or a vector (i.e., an n×1 or 1
×n matrix of
a domain of category
A list of (indexed) identifiers
Matrix of the domain
the component ring of
v or the domain
For a vector function , where G is a subset of the matrix
is the Jacobian matrix of .