The Drazin inverse through the matrix pencil approach and its application to the study of generalized linear systems with rectangular or square coefficient matrices.
The dual of the cone of all convex functions on a vector space.
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 Euler-Fermat theorem for the semigroup of circulant Boolean 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 factorization of an integral matrix into a product of two integral symmetric matrices I
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 Frisch scheme in algebraic and dynamic identification problems
This paper considers the problem of determining linear relations from data affected by additive noise in the context of the Frisch scheme. The loci of solutions of the Frisch scheme and their properties are first described in the algebraic case. In this context two main problems are analyzed: the evaluation of the maximal number of linear relations compatible with data affected by errors and the determination of the linear relation actually linking the noiseless data. Subsequently the extension...
The fundamental cone and the Minkowski cone.