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[10] Andrica, D., Todea (Aldea), M., Perfect Morse functions and some applications, Proceedings of the International Conference on Theory and Ap- plications of Mathematics
Matrix functions, Generalization of nonnegative matrices, Eventually nonnegative matrices, Eventually positive matrices, Exponentially nonnegative matrices, Eventually exponen-
A key tool to obtain these bounds is using some Hermitian matrices which are, in the sense of Loewner matrix ordering, below the Hermitian part of A or, more generally, below
Among the P -matrices are several important and well-studied matrix subclasses (see [5, 6]for more information on these classes of matrices): An (invertible) M -matrix is a
The study of the spectra of real symmetric (or Hermitian) matrices subordinated to a certain tree, and, in particular, of the number of distinct eigenvalues such acyclic matrices,
Further, we give some L¨ owner partial orders for compound matrices of Schur complements of positive semidefinite Hermitian matrices, and obtain some estimates for eigenvalues of
We show that the matrices of S have real eigenvalues, complete systems of eigenvectors and moreover they are Q -Hermitian, for Q a positive definite Hermitian operator..
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..