vol20_pp595-609. 153KB Jun 04 2011 12:06:09 AM
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We improve the known upper bound of the dimension n of an indecomposable unimodular lattice whose shadow has the third largest possible length, n − 16.. Occasionally, we will use χ (
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 Soules approach to the inverse eigenvalue problem for nonnegative symmetric matrices with n ≤ 5. A note on the eigenvalues of
In their study they found examples of eventually nonnegative matrices for which the relationship between the combinatorial structure of the matrix, and its spectrum, eigenvectors,
A real matrix with nonnegative entries and having a largest eigenvalue of multiplicity just one has a strictly positive left eigenvector (see the Appendix) if and only if there
586.. paper, we consider a variation of the corona of two graphs and discuss its spectrum and the number of spanning trees... Definition 1.1. As an application of these results, we
Applying the properties of the Hadamard core for totally nonnegative matrices, we obtain the Schur complement inequalities for the Hadamard product of totally nonnegative
In this paper we will study the spectral properties of Wigner real symmetric and Hermitian random matrices in the case when the matrix entries have heavy tails of distribution..