vol16_pp347-365. 226KB Jun 04 2011 12:05:58 AM
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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
The paper studies the eigenvalue distribution of Schur complements of some special matrices, including nonstrictly diagonally dominant matrices and general H − matrices.. Zhang, Xu,
We prove Zhan’s conjecture, and a related inequality for positive semidefinite matrices, using standard facts about principal submatrices, Kronecker products, and the spectral
A characterization of the joint spectral radius, due to Chen and Zhou, relies on the limit superior of the k -th root of the dominant trace over products of matrices of length
Nonnegative matrices, Diagonal similarity scaling, Diagonal equivalence scaling, Digraph of a matrix, Cyclic product, Cycle mean, Lattice ordered commutative groups.. AMS
Necessary and sufficient conditions for the equivalence and congruence of matrices under the action of standard parabolic subgroups are discussed..
In the paper [6] (see also [7]) the author has derived a precise estimate for the Euclidean norm which is attained in the case of normal matrices. But that estimate requires bounds
For normal matrices in WPFn and those in WPFn for which the spectral radius is simple, we present approximating matrices that satisfy the strong P-F property and are polynomials
