Maximization on trace of quadratic and linear terms under orthonormal constraints

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I have the following optimization problem

$$ \max_{R: RR^{T}=I} \mbox{Tr} \left( M \left( R A R^{T} - K R^{T} \right) \right) $$

where:

  • $A$ is a rank-one square matrix (assume the first row that are all positive, have been repeated for the next rows)

  • $K$ is a symmetric positive definite matrix

  • $M$ is a square, symmetric matrix with singular values $1$ or $0$, and $M^{2} = M$

How would one solve this optimization problem?