AbstractSuppose A is a hermitian matrix of order n. Let λ1 ⩾ λ2 ⩾ … ⩾ λn and a11, …, ann denote the eigenvalues and diagonal elements of A. If k < n with Σki=1 λi = Σki=1aii, what structure is imposed on the hermitian matrix? We prove that it must be block-diagonal
AbstractWe characterize sets of inertias of some partitioned Hermitian matrices by a system of inequ...
Hermitian and unitary matrices are two representatives of the class of normal matrices whose full ei...
In this thesis we explore how the eigenvalues of nxn Hermitian matrices A,B relate to the eigenvalue...
AbstractSuppose A is a hermitian matrix of order n. Let λ1 ⩾ λ2 ⩾ … ⩾ λn and a11, …, ann denote the ...
AbstractThe well-known Cauchy theorem connects the eigenvalues of a Hermitian matrix to the eigenval...
Abstract. We characterize the relationship between the singular values of a Hermitian (resp., real s...
Abstract. We characterize the relationship between the singular values of a Hermitian (resp., real s...
AbstractA classical theorem of Cauchy states that the eigenvalues of a principal submatrix A0 of a H...
Write (A) = 1 (A) min (A) for the eigenvalues of a Hermitian matrix A. Our main result i...
AbstractSimilar to the well known Schur-Horn theorem that characterizes the relationship between the...
AbstractFor a Hermitian n × n matrix of the formH = PρQρ̄Q∗R of which all the eigenvalues of the s ×...
Hermitian and unitary matrices are two representatives of the class of normal matrices whose full ei...
Abstract. We characterize the relationship between the singular values of a Hermitian (resp., real s...
AbstractLet A and B be hermitian matrices with given eigenvalues (a1,…an) and (b1,…bn) respectively....
AbstractAn iterative procedure is proposed for computing the eigenvalues and eigenvectors of a class...
AbstractWe characterize sets of inertias of some partitioned Hermitian matrices by a system of inequ...
Hermitian and unitary matrices are two representatives of the class of normal matrices whose full ei...
In this thesis we explore how the eigenvalues of nxn Hermitian matrices A,B relate to the eigenvalue...
AbstractSuppose A is a hermitian matrix of order n. Let λ1 ⩾ λ2 ⩾ … ⩾ λn and a11, …, ann denote the ...
AbstractThe well-known Cauchy theorem connects the eigenvalues of a Hermitian matrix to the eigenval...
Abstract. We characterize the relationship between the singular values of a Hermitian (resp., real s...
Abstract. We characterize the relationship between the singular values of a Hermitian (resp., real s...
AbstractA classical theorem of Cauchy states that the eigenvalues of a principal submatrix A0 of a H...
Write (A) = 1 (A) min (A) for the eigenvalues of a Hermitian matrix A. Our main result i...
AbstractSimilar to the well known Schur-Horn theorem that characterizes the relationship between the...
AbstractFor a Hermitian n × n matrix of the formH = PρQρ̄Q∗R of which all the eigenvalues of the s ×...
Hermitian and unitary matrices are two representatives of the class of normal matrices whose full ei...
Abstract. We characterize the relationship between the singular values of a Hermitian (resp., real s...
AbstractLet A and B be hermitian matrices with given eigenvalues (a1,…an) and (b1,…bn) respectively....
AbstractAn iterative procedure is proposed for computing the eigenvalues and eigenvectors of a class...
AbstractWe characterize sets of inertias of some partitioned Hermitian matrices by a system of inequ...
Hermitian and unitary matrices are two representatives of the class of normal matrices whose full ei...
In this thesis we explore how the eigenvalues of nxn Hermitian matrices A,B relate to the eigenvalue...