COMPLETINGBLOCKHERMITIANMATRICESWITHMAXIMALANDMINIMALRANKSANDINERTIAS ELA

A theorem of Mirsky provides necessary and sufficient conditions for the existence of an N -square complex matrix with prescribed diagonal entries and prescribed eigenvalues.. A

The authors use a recent characterization of the numerical range to obtain several conditions for a symmetric tridiagonal matrix with positive diagonal entries to be positive

In this note we show how to improve some recent upper and lower bounds for the elements of the inverse of diagonally dominant tridiagonal matrices.. In particular, a technique

The issue of classifying non-affine R-matrices, solutions of DQYBE, when the (weak) Hecke condition is dropped, already appears in the literature [21], but in the very particular

technique is also used in [8]) for proving another result of Horn [3] (on the diagonal entries and eigenvalues of a Hermitian matrix): ours is multiplicative and Chan and Li’s

The potential energy matrix, g2’ for the diagonal springs requires the inclusion of the N x N matrix V twice in each row of the block form since each horizontal chain is coupled to

By interpreting the Hilbert series with respect to a multipartition degree of certain (diagonal) invariant and coinvariant algebras in terms of (descents of) tableaux and

A majorization relating the singular values of an off-diagonal block of a Hermitian matrix and its eigenvalues is obtained... In fact, this result was conjectured