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Inequalities connecting the eigenvalues of a hermitian matrix with the eigenvalues of complementary principal submatrices
Let be a hermitian matrix in partitioned form. Let the eigenvalues of A, B, C be α 1 ≥ … ≥ α a , β 1 ≥ … ≥ β b , γ 1 ≥ … ≥ γ n , respectively. In this paper four classes of inequalities are proved …