vol22_pp466-479. 151KB Jun 04 2011 12:06:13 AM
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The paper studies the eigenvalue distribution of Schur complements of some special matrices, including nonstrictly diagonally dominant matrices and general H − matrices.. Zhang, Xu,
The main result here, Theorem 2.3, characterizes the minimizers of the distance between a given positive semidefinite matrix and the unitary group, for strictly increasing Schur
A square complex or real matrix A is called an H-matrix if there exists a square positive diagonal matrix X such that AX is strictly diagonally dominant (SDD)[5].. We denote by ρ (
The goal of the paper is to investigate SQ matrices of small degree and find certain forbidden substructures which prevent a (0,1)-matrix to support unitary matrices.. One of the
To do this, observe that the hermitian forms graph is the Cayley graph C ay ( G, S ), where G is the additive group of all hermitian matrices and the set S consists of all
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),
This paper extends the Nilpotent- Jacobian method for sign pattern matrices to complex sign pattern matrices, establishing a means to show that an irreducible complex sign
of matrix valued functions is very rich but mainly, perturbations of matrix functions of a complex argument and matrix functions of Hermitian matrices were considered, cf.