A generalization of a theorem of Boolean relation matrices
A Generalization of Cayley's Theorem.
A generalization of group difference sets and the matrix equation Am = dI + ...J.
A generalization of Moore-Penrose biorthogonal systems.
A generalization of rotations and hyperbolic matrices and its applications.
A generalization of the exterior product of differential forms combining Hom-valued forms
This article deals with vector valued differential forms on -manifolds. As a generalization of the exterior product, we introduce an operator that combines -valued forms with -valued forms. We discuss the main properties of this operator such as (multi)linearity, associativity and its behavior under pullbacks, push-outs, exterior differentiation of forms, etc. Finally we present applications for Lie groups and fiber bundles.
A Generalization of the Matrix-Tree Theorem.
A geometric approach for testing regularity of multi-dimensional polynomial matrices and a pencil of -matrices
A geometric construction for spectrally arbitrary sign pattern matrices and the -conjecture
We develop a geometric method for studying the spectral arbitrariness of a given sign pattern matrix. The method also provides a computational way of computing matrix realizations for a given characteristic polynomial. We also provide a partial answer to -conjecture. We determine that the -conjecture holds for the class of spectrally arbitrary patterns that have a column or row with at least nonzero entries.
A geometric maximization problem
A geometric proof of the Perron-Frobenius theorem.
We obtain an elementary geometrical proof of the classical Perron-Frobenius theorem for non-negative matrices A by using the Brouwer fixed-point theorem and by studying the dynamics of the action of A on convenient subsets of Rn.
A Gram-Schmidt orthogonalizing process of design matrices in linear models as an estimating procedure of covariance components.
Se considera un modelo lineal mixto multivariante equilibrado sin interacción para el que las matrices de las formas cuadráticas necesarias para estimar la covarianza de las componentes se expresan mediante operadores lineales en espacios con producto interior de dimensión finita. El propósito de este artículo es demostrar que las formas cuadráticas obtenidas por el proceso de ortogonalización de Gram-Schmidt de las matrices de diseño son combinaciones lineales de las formas cuadráticas derivadas...
A graphical way to solve the Boolean matrix equations and
A graph-theoretic method for choosing a spanning set for a finite-dimensional vector space, with applications to the Grossman-Larson-Wright module and the Jacobian conjecture.
A Hadamard product involving inverse-positive matrices
In this paperwe study the Hadamard product of inverse-positive matrices.We observe that this class of matrices is not closed under the Hadamard product, but we show that for a particular sign pattern of the inverse-positive matrices A and B, the Hadamard product A ◦ B−1 is again an inverse-positive matrix.
A hierarchy in the family of real surjective functions
This expository paper focuses on the study of extreme surjective functions in ℝℝ. We present several different types of extreme surjectivity by providing examples and crucial properties. These examples help us to establish a hierarchy within the different classes of surjectivity we deal with. The classes presented here are: everywhere surjective functions, strongly everywhere surjective functions, κ-everywhere surjective functions, perfectly everywhere surjective functions and Jones functions. The...
A high-tech proof of the Mills-Robbins-Rumsey determinant formula.
A. Horn's result on matrices with prescribed singular values and eigenvalues.
A Jacobi Type Method for Complex Symmetric Matrices.
A Künneth Formula for the Cyclic Cohomology of Z/2-Graded Algebras.