JackWagner / EigenvectorGenerator

Calculating eigenvectors from given eigenvalues using the method defined in "Eigenvectors from Eigenvalues"

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EigenvectorGenerator

Calculating eigenvectors from given eigenvalues using the method defined in "Eigenvectors from Eigenvalues". The following is the theorem as stated by Terrence Tao on his blog.

Image of Theorem

This equation will be used to calculate the norm of each component of an eigenvector when a set of eigenvalues is passed.

Now we can define this as a function, mapping eigenvalues of A and M_j into R^n.

Image of Function

More generally,

Image of Function_1

So to generate eigenvectors of n dimensions, we need n^2 eigenvalues as input. I will use this to check the validity of parameters passed to method.py

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Calculating eigenvectors from given eigenvalues using the method defined in "Eigenvectors from Eigenvalues"


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