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Schur Complement and Inequalities of Eigenvalues on Block Hadamard Product

  • Abdoulaye Mbaye,
  • Etienne Mbaye

摘要

The Schur complement theory is very important in many areas such as statistics, matrix analysis, numerical analysis, and control theory. It is a powerful tool to discuss many significant results. In this chapter, we establish two inequalities on the eigenvalues of Schur complement of the block Hadamard product, deduce one important corollary, and illustrate them in numerical examples.