AbstractFor complex matrices A and B there are inequalities related to the diagonal elements of AB and the singular values of A and B. We study the conditions on the matrices for which those inequalities become equalities. In all cases, the conditions are both necessary and sufficient
AbstractA group induced preorder on matrix space permits the description of the convex hulls of sets...
Abstract In this note, we first prove an inequality for sector matrices. This complements a result d...
We obtain a majorization inequality which relates the singular values of a complex square matrix A a...
AbstractFor complex matrices A and B there are inequalities related to the diagonal elements of AB a...
AbstractFor a complex matrix A, there are many inequalities related to its eigenvalues, diagonal ele...
AbstractFor a complex matrix A, there are many inequalities related to its eigenvalues, diagonal ele...
AbstractLet A and B be Hermitian matrices and let C=A+iB. Inequalities and equalities for the eigenv...
AbstractLet A1,…,Ak be n×n matrices. We studied inequalities and equalities involving eigenvalues, d...
AbstractNecessary and sufficient conditions are given for the existence of a complex symmetric matri...
We obtain a characterization of pair matrices A and B of order n such that sjA≤sjB, j=1, …, n, where...
The original publication is available at www.springerlink.comFor two Hermitian matrices A and B, at ...
AbstractLet A and Z be n-by-n matrices. Suppose A⩾0 (positive semi-definite) and Z>0 with extremal e...
AbstractLet A1,…,Ak be n×n matrices. We studied inequalities and equalities involving eigenvalues, d...
AbstractIf B is a singular complex matrix, there is a singular C whose entries are the same magnitud...
AbstractThe problem of characterizing matrices satisfying the equalities |AB| = |A|⋅|B| and |AB| = 〈...
AbstractA group induced preorder on matrix space permits the description of the convex hulls of sets...
Abstract In this note, we first prove an inequality for sector matrices. This complements a result d...
We obtain a majorization inequality which relates the singular values of a complex square matrix A a...
AbstractFor complex matrices A and B there are inequalities related to the diagonal elements of AB a...
AbstractFor a complex matrix A, there are many inequalities related to its eigenvalues, diagonal ele...
AbstractFor a complex matrix A, there are many inequalities related to its eigenvalues, diagonal ele...
AbstractLet A and B be Hermitian matrices and let C=A+iB. Inequalities and equalities for the eigenv...
AbstractLet A1,…,Ak be n×n matrices. We studied inequalities and equalities involving eigenvalues, d...
AbstractNecessary and sufficient conditions are given for the existence of a complex symmetric matri...
We obtain a characterization of pair matrices A and B of order n such that sjA≤sjB, j=1, …, n, where...
The original publication is available at www.springerlink.comFor two Hermitian matrices A and B, at ...
AbstractLet A and Z be n-by-n matrices. Suppose A⩾0 (positive semi-definite) and Z>0 with extremal e...
AbstractLet A1,…,Ak be n×n matrices. We studied inequalities and equalities involving eigenvalues, d...
AbstractIf B is a singular complex matrix, there is a singular C whose entries are the same magnitud...
AbstractThe problem of characterizing matrices satisfying the equalities |AB| = |A|⋅|B| and |AB| = 〈...
AbstractA group induced preorder on matrix space permits the description of the convex hulls of sets...
Abstract In this note, we first prove an inequality for sector matrices. This complements a result d...
We obtain a majorization inequality which relates the singular values of a complex square matrix A a...