An Eigenvalue Majorization Inequality for Positive Semidefinite Block Matrices: In Memory of Ky Fan
نویسندگان
چکیده
2 Let H = [ M K K∗ N ] be a Hermitian matrix. It is known that the eigenvalues of M ⊕N are 3 majorized by the eigenvalues of H . If, in addition, H is positive semidefinite and the block K 4 is Hermitian, then the following reverse majorization inequality holds for the eigenvalues: 5
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