An algorithm for maximizing a quotient of two Hermitian form determinants with different exponents

@article{Hunger2010AnAF,
  title={An algorithm for maximizing a quotient of two Hermitian form determinants with different exponents},
  author={Raphael Hunger and Paul de Kerret and Michael Joham},
  journal={2010 IEEE International Conference on Acoustics, Speech and Signal Processing},
  year={2010},
  pages={3346-3349}
}
We investigate the maximization of a quotient of two determinants with different exponents under a Frobenius norm constraint, where each determinant is taken from a matrix-valued Hermitian form. The optimummatrix that constitutes the Hermitian forms is shown to be a scaled partial isometry. For the special case of vector-valued Hermitian forms, the optimality condition turns out to be an implicit eigenproblem and we derive an iterative algorithm where in each step the principal eigenvector of a… CONTINUE READING