compute the norm of the Hessian matrix

        |DXX  DXY|
H =    |DYX  DYY|

Hello all if i have the following Hessian matrix with it's eigenvalue and eigenvectors how can i compute its norm?

thank You!
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Firstly calculate the Eigen values  V from solving the quadratic

(DXX - V)(DYY - V) - DYX*DXY = 0

there will be 2 solutions V1 & V2, the norm is now

sqrt( V1² + V2²)


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there are different definitions for matrix norm. the most common is L2 norm treating the matrix as a vector. this means:
sqrt(DXX^2+2*DXY^2+DYY^2) as the hessian is symmrtric.
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Math / Science

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