Gauss sums and the matrix equation over fields of characteristic two
Gauss sums and the number of solutions to the matrix equation over
Gaussian fluctuations in complex sample covariance matrices.
Gaussian fluctuations of eigenvalues in the GUE
Gcd-closed sets and determinants of matrices associated with arithmetical functions
Gegenbauer polynomials and semiseparable matrices.
General preservers of quasi-commutativity on Hermitian matrices.
Generalization of Scott's permanent identity.
Generalizations of Nekrasov matrices and applications
In this paper we present a nonsingularity result which is a generalization of Nekrasov property by using two different permutations of the index set. The main motivation comes from the following observation: matrices that are Nekrasov matrices up to the same permutations of rows and columns, are nonsingular. But, testing all the permutations of the index set for the given matrix is too expensive. So, in some cases, our new nonsingularity criterion allows us to use the results already calculated...
Generalized Catalan numbers, Hankel transforms and Somos-4 sequences.
Generalized equivalence of matrices over Prüfer domains.
Generalized indices of Boolean matrices
We obtain upper bounds for generalized indices of matrices in the class of nearly reducible Boolean matrices and in the class of critically reducible Boolean matrices, and prove that these bounds are the best possible.
Generalized Pascal -eliminated functional matrix with variables.
Generalized Pascal triangles and Toeplitz matrices.
Generalized Schur complements of matrices and compound matrices.
Generating functions via Hankel and Stieltjes matrices.
Generating potentially nilpotent full sign patterns.
Generating valid correlation matrices.
Generation of all magic squares of order 5 and interesting patterns finding
This paper presents an enumeration algorithm to generate all magic squares of order 5 based on the ideas of basic form (Schroeppel [7]) and generating vector which is extension of Frénicle Quads (Ollerenshaw and Bondi [6]). The results lead us to extend Frénicle-Amela patterns from the case of order 4 to the case of order 5, which we refer to Frénicle-Amela-Like patterns. We show that these interesting Frénicle-Amela-Like patterns appear simultaneously. The number of these patterns is also calculated....
Geometry and inequalities of geometric mean
We study some geometric properties associated with the -geometric means of two positive definite matrices and . Some geodesical convexity results with respect to the Riemannian structure of the positive definite matrices are obtained. Several norm inequalities with geometric mean are obtained. In particular, we generalize a recent result of Audenaert (2015). Numerical counterexamples are given for some inequality questions. A conjecture on the geometric mean inequality regarding pairs...