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finding the Hessian (third order tensor) and higher order derivatives

Posted on 2008-01-13 13:53 By dkrbabajee (2)
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Hi I want to know whether it is possible to obtain the third order tensor (second derivative) and
also the higher order derivatives in Maple just as we can find the Jacobian. Then how?
For example, x=array(1..n): f:=[x[1]^2-2x[2], x[2]^3-3x[3]]: jac:=jacobian(f,x);
we can get the jacobian.
Can we get the second derivative (n by n by n matrix) and also the higher order derivatives. Thanks.

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Robert Israel's picture

Hessian

Comment on 2008-01-13 16:10 from Robert Israel (Maple Rating 4 1893)

For the Hessian matrix, use Hessian in the VectorCalculus package. Partial derivatives of any order can be found using diff.

John Fredsted's picture

Hessian

Comment on 2008-01-14 13:15 from John Fredsted (Maple Rating 4 566)

Please see my blog post Gradients, Jacobians, Hessians, and higher order derivatives.

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