Hessian matrix - Githubissues

dutitello / paransys2

A Python module that allows you to run ANSYS APDL scripts setting selected parameters values by Python, and returning the values of all parameters in the end of the analysis.

https://dutitello.github.io/paransys2/

MIT License

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Hessian matrix #4

Open dutitello opened 4 years ago

dutitello commented 4 years ago

The Hessian matrix could also be evaluated using finite difference method.

Some info could be taken from https://en.wikipedia.org/wiki/Finite_difference#Relation_with_derivatives
The matrix could be symetric, in this case the user will send a flag symmetric=True, so it's its fault if wasn't.

dutitello commented 4 years ago

Also at Wikipedia there is some formulations for second order central finite difference
https://en.wikipedia.org/wiki/Finite_difference#Finite_difference_in_several_variables