Determinant Maximization with Linear Matrix Inequality Constraints

@inproceedings{Vandenberghe1998DeterminantMW,
  title={Determinant Maximization with Linear Matrix Inequality Constraints},
  author={Lieven Vandenberghe and Stephen P. Boyd and Shao-Po Wu},
  year={1998}
}
The problem of maximizing the determinant of a matrix subject to linear matrix inequalities arises in many elds, including computational geometry, statistics, system identi cation, experiment design, and information and communication theory. It can also be considered as a generalization of the semide nite programming problem. We give an overview of the applications of the determinant maximization problem, pointing out simple cases where specialized algorithms or analytical solutions are known… CONTINUE READING

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Determinant maximization with linear matrix inequality constraints, tech

  • L. Vandenberghe, S. Boyd, S.-P. Wu
  • 1996
Highly Influential
10 Excerpts

Eigenvalue optimization

  • A. S. Lewis, M. L. Overton
  • Acta Numerica,
  • 1996
Highly Influential
4 Excerpts

Robustness analysis of semide nite programs and applications to matrix completion problems

  • L. El Ghaoui
  • Proceedings of MTNS-96
  • 1996
Highly Influential
3 Excerpts

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