The Dual of the Cone of All Convex Functions on a Vector Space. (Short Communication).
The eigenvalue derivatives of linear damped systems
The eigenvalue distribution of block diagonally dominant matrices and block H-matrices.
The eigenvalue distribution on Schur complement of nonstrictly diagonally dominant matrices and general -matrices.
The Eigenvalues and Singular Values of Matrix Sums and Product, VIII: Displacement of Indices
The eigenvalues of Hermite and rational spectral differentiation matrices.
The empirical distribution of the eigenvalues of a Gram matrix with a given variance profile
The equality cases for the inequalities of Oppenheim and Schur for positive semi-definite matrices
In this paper, necessary and sufficient conditions for equality in the inequalities of Oppenheim and Schur for positive semidefinite matrices are investigated.
The equation and the dimension of *congruence orbits.
The equations of conjugacy classes of nilpotent matrices.
The explicit representations of the Drazin inverses of a class of block matrices.
The external vertices conjecture in case .
The extremal ranks of subject to a pair of matrix equations
The fan graph is determined by its signless Laplacian spectrum
Given a graph , if there is no nonisomorphic graph such that and have the same signless Laplacian spectra, then we say that is -DS. In this paper we show that every fan graph is -DS, where and .
The fundamental cone and the Minkowski cone.
The general Hermitian nonnegative-definite solution to the matrix equation .
The general linear equation on vector spaces.
The general totally positive matrix completion problem with few unspecified entries.
The generalized Radon-Hurwitz numbers
The Gerschgorin discs under unitary similarity
The intersection of the Gerschgorin regions over the unitary similarity orbit of a given matrix is studied. It reduces to the spectrum in some cases: for instance, if the matrix satisfies a quadratic equation, and also for matrices having "large" singular values or diagonal entries. This leads to a number of open questions.