SciELO - Scientific Electronic Library Online

vol.22 issue2A COMMUTATOR RIGIDITY FOR FUNCTION GROUPS AND TORELLI’S THEOREM author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Services on Demand




Related links


Proyecciones (Antofagasta)

Print version ISSN 0716-0917


MIRANDA, HÉCTOR. DIAGONALS AND EIGENVALUES OF SUMS OF HERMITIAN MATRICES: EXTREME CASES. Proyecciones (Antofagasta) [online]. 2003, vol.22, n.2, pp.127-134. ISSN 0716-0917.

There are well known inequalities for Hermitian matrices A and B that relate the diagonal entries of A+B to the eigenvalues of A and B. These inequalities are easily extended to more general inequalities in the case where the matrices A and B are perturbed through con-gruences of the form UAU*+ V BV *; where U and V are arbitrary unitary matrices, or to sums of more than two matrices. The extremal cases where these inequalities and some generalizations become equal-ities are examined here

Keywords : Hermitian matrix; eigenvalues; diagonal elements.

        · text in English     · English ( pdf )


Creative Commons License All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License