PROBLEM OF EQUALITIES IN EIGENVALUE INEQUALITIES FOR PRODUCTS OF POSITIVE SEMIDEFINITE HERMITIAN MATRICES

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作者
Xi Boyan(Inner Mongolia Teachers College for Nationalities
机构
关键词
AB; In; Wang; PROBLEM OF EQUALITIES IN EIGENVALUE INEQUALITIES FOR PRODUCTS OF POSITIVE SEMIDEFINITE HERMITIAN MATRICES;
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中图分类号
O151 [代数方程论、线性代数];
学科分类号
0701 ; 070101 ;
摘要
Let A∈C;,set eigenvalues of matrix A with |λ;(A)|≥|λ;(A)|≥…≥|λ;(A)|,write A≥0 if A is a positive semidefinite Hermitian matrix, and denote∧;(A)=diag (λ;(A),…,λ;(A)),∧;(n-k).(A)=diag (λ;(A),…,λ;(A))for any k=1, 2,...,n if A≥0. Denote all n order unitary matrices by U;.Problem of equalities to hold in eigenvalue inequalities for products of matrices was
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页码:95 / 97
页数:3
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