Several matrix Euclidean norm inequalities involving Kantorovich inequality.
Singular value inequality and graph energy change.
Some bounds for the spectral radius of the Hadamard product of matrices.
Some inequalities for commutators and an application to spectral variation.
Some inequalities for spectral variations.
Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix
Some convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem. It is proved that these sequences are monotone increasing, and numerical examples are given to show that these sequences could reach the true value of the minimum eigenvalue in some cases. These results in this paper improve some known results.
Some new results on determinantal inequalities and applications.
Some results on eigenvalues of nonnegative matrices
Spectral study of alliances in graphs
In this paper we obtain several tight bounds on different types of alliance numbers of a graph, namely (global) defensive alliance number, global offensive alliance number and global dual alliance number. In particular, we investigate the relationship between the alliance numbers of a graph and its algebraic connectivity, its spectral radius, and its Laplacian spectral radius.
Spectral variation bounds for diagonalisable matrices.
Spectrum localization of regular matrix polynomials and functions.
Spektralradius und Spektralnorm
Subdominant eigenvalues for stochastic matrices with given column sums.
Sur le problème inverse des valeurs propres.