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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
4
votes
Is there any relation between trace ratio and ratio trace of positive semi-definite matrices?
There is no relationship between the two, even in the simplest case where the $n\times n$ matrices $A$ and $B$ are simultaneously diagonalizable. In that case, we can write the expressions in terms o …
1
vote
Some but not all eigenvectors mutually orthogonal
I encountered this situation when I was studying a weird kind of radiative corrections in my formal analyses of relativistic quantum field theories with weak violations of Lorentz symmetry (arXiv vers …