Essential decomposition of polynomially normal matrices in real indefinite inner product spaces.
Essential sign change numbers of full sign pattern matrices
A sign pattern (matrix) is a matrix whose entries are from the set {+, −, 0} and a sign vector is a vector whose entries are from the set {+, −, 0}. A sign pattern or sign vector is full if it does not contain any zero entries. The minimum rank of a sign pattern matrix A is the minimum of the ranks of the real matrices whose entries have signs equal to the corresponding entries of A. The notions of essential row sign change number and essential column sign change number are introduced for full sign...
Essentially Hermitian matrices revisited.
Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix.
Étude des puissances d'une distance
Euclidean and circum-Euclidean distance matrices: characterizations and linear preservers.
Evaluating scientific products by means of citation-based models: a first analysis and validation.
Evaluation of divisor functions of matrices
1. Introduction. The study of divisor functions of matrices arose legitimately in the context of arithmetic of matrices, and the question of the number of (possibly weighted) inequivalent factorizations of an integer matrix was asked. However, till now only partial answers were available. Nanda [6] evaluated the case of prime matrices and Narang [7] gave an evaluation for 2×2 matrices. We obtained a recursion in the size of the matrices and the weights of the divisors [1,2] which helped us obtain...
Existence et unicité du maximum d'une forme linéaire sur un ensemble de matrices diagonales
Expansion of (n -1)-Rowed Sub-Determinants.
Explicit inverse of the Pascal matrix plus one.
Exponential Riordan arrays and permutation enumeration.
Exponents of two-colored digraphs
We consider the primitive two-colored digraphs whose uncolored digraph has vertices and consists of one -cycle and one -cycle. We give bounds on the exponents and characterizations of extremal two-colored digraphs.
Extension and generalization inequalities involving the Khatri-Rao product of several.
Extension of Partial Diagonals of Matrices II.
Extension of Wang-Gong monotonicity result in semisimple Lie groups
We extend a monotonicity result of Wang and Gong on the product of positive definite matrices in the context of semisimple Lie groups. A similar result on singular values is also obtained.
Extensions of Three Matrix Inequalities to Semisimple Lie Groups
We give extensions of inequalities of Araki-Lieb-Thirring, Audenaert, and Simon, in the context of semisimple Lie groups.
Extrapolated positive definite and positive semi-definite splitting methods for solving non-Hermitian positive definite linear systems
Recently, Na Huang and Changfeng Ma in (2016) proposed two kinds of typical practical choices of the PPS method. In this paper, we extrapolate two versions of the PPS iterative method, and we introduce the extrapolated Hermitian and skew-Hermitian positive definite and positive semi-definite splitting (EHPPS) iterative method and extrapolated triangular positive definite and positive semi-definite splitting (ETPPS) iterative method. We also investigate convergence analysis and consistency of the...
Extremal algebraic connectivities of certain caterpillar classes and symmetric caterpillars.
Extremal quantum states in coupled systems