Geometric structure of positive bases in linear spaces
Geometric Structures in Bundlesof Associative Algebras
The article deals with bundles of linear algebra as a specifications of the case of smooth manifold. It allows to introduce on smooth manifold a metric by a natural way. The transfer of geometric structure arising in the linear spaces of associative algebras to a smooth manifold is also presented.
Geometrické upotřebení některých pouček o determinantech
Geometrické upotřebení některých pouček o determinantech
Geometrické upotřebení některých pouček o determinantech. [I.]
Geometrické upotřebení některých pouček o determinantechGeometric application of some theorems on determinants. [II.]
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...
Geometry of Cyclic and Anticylic Algebras
The article deals with spaces the geometry of which is defined by cyclic and anticyclic algebras. Arbitrary multiplicative function is taken as a fundamental form. Motions are given as linear transformation preserving given multiplicative function.
Gers̆gorin-type eigenvalue inclusion theorems and their sharpness.
G-invariant quadratic forms.
Girth and subdominant eigenvalues for stochastic matrices.
G-matrices, -orthogonal matrices, and their sign patterns
A real matrix is a G-matrix if is nonsingular and there exist nonsingular diagonal matrices and such that , where denotes the transpose of the inverse of . Denote by a diagonal (signature) matrix, each of whose diagonal entries is or . A nonsingular real matrix is called -orthogonal if . Many connections are established between these matrices. In particular, a matrix is a G-matrix if and only if is diagonally (with positive diagonals) equivalent to a column permutation of...
Graded algebra automorphisms.
Graded monoidal categories
Graph fibrations, graph isomorphism, and PageRank
PageRank is a ranking method that assigns scores to web pages using the limit distribution of a random walk on the web graph. A fibration of graphs is a morphism that is a local isomorphism of in-neighbourhoods, much in the same way a covering projection is a local isomorphism of neighbourhoods. We show that a deep connection relates fibrations and Markov chains with restart, a particular kind of Markov chains that include the PageRank one as a special case. This fact provides constraints on the...
Graphs determined by their (signless) Laplacian spectra.
Graphs whose minimal rank is two.
Graphs whose minimal rank is two: the finite fields case.
Grassmann formula for certain type of modules
Green's relations for stochastic matrices