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Macaulay2Doc :: diff'(Matrix,Matrix)

diff'(Matrix,Matrix) -- differentiate a matrix by a matrix, the dual notion

Synopsis

Function: diff'
Usage:

h = diff'(m,n)
Inputs:
- m, a matrix, a map m : F <--- P between free modules of ranks f and p.
- n, a matrix, a map n : G <--- Q between free modules of ranks g and q.
Outputs:
- h, a matrix, a matrix with the shape h : F ** dual G <--- P ** dual Q, whose entry in the slot h_g*i+j,q*k+l is the result of differentiating n_j,l, by m_i,k

See also

diff -- differentiate or take difference
diff and contract

Ways to use this method:

diff'(Matrix,Matrix) -- differentiate a matrix by a matrix, the dual notion