We characterize sets of inertias of some partitioned Hermitian matrices by a system of inequalities involving the orders of the blocks, the inertias of the diagonal blocks, and the ranks of the nondiagonal blocks. The main result generalizes some well-known characterizations of Sá and Cain and others.http://www.sciencedirect.com/science/article/B6V0R-3T0XRRS-B/1/8d3bd399ae513d7f09da6e4906334de
AbstractThis paper gives a group of expansion formulas for the inertias of Hermitian matrix polynomi...
AbstractLet A ∈ Mn be a nonsingular Hermitian matrix, let G be a chordal graph on vertices {1,…,n}, ...
AbstractGiven n×n Hermitian matrices, H1,…,Hp, a complete description is found for the possible iner...
AbstractWe characterize sets of inertias of some partitioned Hermitian matrices by a system of inequ...
AbstractLet n1,n2,n3 be nonnegative integers. We consider partitioned Hermitian matrices of the form...
AbstractThe inertia of a Hermitian matrix is defined to be a triplet composed of the numbers of the ...
AbstractLet n1, n2, n3 be nonnegative integers. We consider Hermitian matrices H of the form H=H11H1...
AbstractDefinition: A Hermitian matrix H is a Hermitian extension of a given set of Hermitian matric...
The full set of completion inertias is described in terms of seven linear inequalities involving ine...
AbstractFor i=1,…,m let Hi be an ni×ni Hermitian matrix with inertia In(Hi)= (πi, νi, δi). We charac...
AbstractGiven the inertias of H and K, hermitian and nonsingular, the precise set of possible inerti...
AbstractUsing elementary matrix algebra we establish the following theorems: (1.3) Let H be any n×n ...
AbstractLet A and B be Hermitian matrices and P = λA + μB where (λ,μ)ϵR2. Using parametric dependenc...
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AbstractIf H is a Hermitian matrix and W = AH + HA∗ is positive definite, then A has as many eigenva...
AbstractThis paper gives a group of expansion formulas for the inertias of Hermitian matrix polynomi...
AbstractLet A ∈ Mn be a nonsingular Hermitian matrix, let G be a chordal graph on vertices {1,…,n}, ...
AbstractGiven n×n Hermitian matrices, H1,…,Hp, a complete description is found for the possible iner...
AbstractWe characterize sets of inertias of some partitioned Hermitian matrices by a system of inequ...
AbstractLet n1,n2,n3 be nonnegative integers. We consider partitioned Hermitian matrices of the form...
AbstractThe inertia of a Hermitian matrix is defined to be a triplet composed of the numbers of the ...
AbstractLet n1, n2, n3 be nonnegative integers. We consider Hermitian matrices H of the form H=H11H1...
AbstractDefinition: A Hermitian matrix H is a Hermitian extension of a given set of Hermitian matric...
The full set of completion inertias is described in terms of seven linear inequalities involving ine...
AbstractFor i=1,…,m let Hi be an ni×ni Hermitian matrix with inertia In(Hi)= (πi, νi, δi). We charac...
AbstractGiven the inertias of H and K, hermitian and nonsingular, the precise set of possible inerti...
AbstractUsing elementary matrix algebra we establish the following theorems: (1.3) Let H be any n×n ...
AbstractLet A and B be Hermitian matrices and P = λA + μB where (λ,μ)ϵR2. Using parametric dependenc...
AbstractInequalities involving the eigenvalues of conjunctive Hermitian matrices are established, an...
AbstractIf H is a Hermitian matrix and W = AH + HA∗ is positive definite, then A has as many eigenva...
AbstractThis paper gives a group of expansion formulas for the inertias of Hermitian matrix polynomi...
AbstractLet A ∈ Mn be a nonsingular Hermitian matrix, let G be a chordal graph on vertices {1,…,n}, ...
AbstractGiven n×n Hermitian matrices, H1,…,Hp, a complete description is found for the possible iner...
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