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Aug
4
comment complex eigenvalues of matrix sum
they are no other special properties, they do not commute, some of them are singular (1 or 2 eigenvalues are zero)
Aug
4
comment complex eigenvalues of matrix sum
perhaps, they have real eigenvalues
Apr
10
comment constrained optimization of dot product
I think the problem is in the constraint. Without the constraint $x^Tx = 1$, there is trivial solution $x=0$