vol20_pp406-418. 119KB Jun 04 2011 12:06:08 AM
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Structuredmatrices, Matrix identity, Schur coefficients, Christoffel-Darboux for- mula, Transfer matrix function, Discrete skew-self-adjoint Dirac system, Weyl function, Inverse
The paper studies the eigenvalue distribution of Schur complements of some special matrices, including nonstrictly diagonally dominant matrices and general H − matrices.. Zhang, Xu,
Because generalized inverse of a matrix is not necessarily unique, the rank of a matrix expression involving generalized inverses of matrices may vary with respect.. to the choice
In a recent paper Holtz showed that M–matrices satisfy Newton’s inequalities and so do the inverses of nonsingular M–matrices.. Since nonsingular M–matrices and their inverses
In this section we extend the results of Section 2 for idempotent matrices of the form (2.2) for some Schur complements with zero diagonal entries.. We start with the following
As is well known, the Schur complements of strictly or irreducibly diagonally dom- inant matrices are H − matrices; however, the same is not true of generally diagonally
In the main Theorem 4.1 we show that regularity of interval matrices can be characterized in terms of determinants (Theorem 4.1, condition (xxxii)), matrix inverses (xxx),
In this section, we will use our results on the inertia sets of connected minimum rank 2 graphs and our results on the structure of these minimum rank matrices to investigate
