AbstractLet A and B be Hermitian matrices and P = λA + μB where (λ,μ)ϵR2. Using parametric dependence of the eigenvalues, we study the inertia of P under variation of (λ,μ) and under small Hermitian perturbations. In particular, we give semicontinuous dependence results for the set of (λ,μ) where inertia of P is discontinuous
Sylvester's law of inertia states that the number of positive, negative and zero eigenvalues of Herm...
AbstractFor i=1,2 let Hi be a given ni×ni Hermitian matrix. We characterize the set of inertias InH1...
AbstractLet A ∈ Mn be a nonsingular Hermitian matrix, let G be a chordal graph on vertices {1,…,n}, ...
AbstractLet A and B be Hermitian matrices and P = λA + μB where (λ,μ)ϵR2. Using parametric dependenc...
AbstractThe inertia of a Hermitian matrix is defined to be a triplet composed of the numbers of the ...
AbstractDefinition: A Hermitian matrix H is a Hermitian extension of a given set of Hermitian matric...
AbstractGiven the inertias of H and K, hermitian and nonsingular, the precise set of possible inerti...
We characterize sets of inertias of some partitioned Hermitian matrices by a system of inequalities ...
AbstractFor i=1,…,m let Hi be an ni×ni Hermitian matrix with inertia In(Hi)= (πi, νi, δi). We charac...
AbstractWe characterize sets of inertias of some partitioned Hermitian matrices by a system of inequ...
AbstractLet n1, n2, n3 be nonnegative integers. We consider Hermitian matrices H of the form H=H11H1...
AbstractUsing elementary matrix algebra we establish the following theorems: (1.3) Let H be any n×n ...
AbstractLet n1,n2,n3 be nonnegative integers. We consider partitioned Hermitian matrices of the form...
AbstractThis paper gives a group of expansion formulas for the inertias of Hermitian matrix polynomi...
AbstractWe determine the inertia of a linear real symmetric matrix pencil A(t)=A−tB of order n as a ...
Sylvester's law of inertia states that the number of positive, negative and zero eigenvalues of Herm...
AbstractFor i=1,2 let Hi be a given ni×ni Hermitian matrix. We characterize the set of inertias InH1...
AbstractLet A ∈ Mn be a nonsingular Hermitian matrix, let G be a chordal graph on vertices {1,…,n}, ...
AbstractLet A and B be Hermitian matrices and P = λA + μB where (λ,μ)ϵR2. Using parametric dependenc...
AbstractThe inertia of a Hermitian matrix is defined to be a triplet composed of the numbers of the ...
AbstractDefinition: A Hermitian matrix H is a Hermitian extension of a given set of Hermitian matric...
AbstractGiven the inertias of H and K, hermitian and nonsingular, the precise set of possible inerti...
We characterize sets of inertias of some partitioned Hermitian matrices by a system of inequalities ...
AbstractFor i=1,…,m let Hi be an ni×ni Hermitian matrix with inertia In(Hi)= (πi, νi, δi). We charac...
AbstractWe characterize sets of inertias of some partitioned Hermitian matrices by a system of inequ...
AbstractLet n1, n2, n3 be nonnegative integers. We consider Hermitian matrices H of the form H=H11H1...
AbstractUsing elementary matrix algebra we establish the following theorems: (1.3) Let H be any n×n ...
AbstractLet n1,n2,n3 be nonnegative integers. We consider partitioned Hermitian matrices of the form...
AbstractThis paper gives a group of expansion formulas for the inertias of Hermitian matrix polynomi...
AbstractWe determine the inertia of a linear real symmetric matrix pencil A(t)=A−tB of order n as a ...
Sylvester's law of inertia states that the number of positive, negative and zero eigenvalues of Herm...
AbstractFor i=1,2 let Hi be a given ni×ni Hermitian matrix. We characterize the set of inertias InH1...
AbstractLet A ∈ Mn be a nonsingular Hermitian matrix, let G be a chordal graph on vertices {1,…,n}, ...
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