Search results for "àlgebra lineal"
showing 4 items of 14 documents
Properties of a matrix group associated to a {K,s+1}-potent matrix
2012
In a previous paper, the authors introduced and characterized a new kind of matrices called {K,s+1}-potent. In this paper, an associated group to a {K, s+1}-potent matrix is explicitly constructed and its properties are studied. Moreover, it is shown that the group is a semidirect product of Z_2 acting on Z_{(s+1)^2-1}. For some values of s, more specifications on the group are derived. In addition, some illustrative examples are given.
Apunts de Matemàtiques
2022
El document forma part dels materials docents premiats dins de la convocatòria dels Premis Fernando Sapiña 2022 del Servei de Política Lingüística de la Universitat de València Apunts de l'assignatura "Matemàtiques" del doble grau Economia i Dret. S'expliquen els principals instruments matemàtics que s'utilitzen en Economia; com les matrius, els sistemes d'equacions, el càlcul diferencial i l'optimització matemàtica; amb exercicis tant purament matemàtics com aplicats a l'Economia. Notes of the subject "Mathematics" of the double degree Economics and Law. The main mathematical instruments which are used in Economics are explained; such as matrices, equations systems, differential calculus, …
Relations between {K, s + 1}-potent matrices and different classes of complex matrices
2013
In this paper, {K,s+1}-potent matrices are considered. A matrix A∈C^(n×n) is called {K,s+1}-potent when K A^(s+1) K = A where K is an involutory matrix and s∈{1,2,3,¿}. Specifically, {K,s+1}-potent matrices are analyzed considering their relations to different classes of complex matrices. These classes of matrices are: {s+1}-generalized projectors, {K}-Hermitian matrices, normal matrices, and matrices B∈C^(n×n) (anti-)commuting with K or such that KB is involutory, Hermitian or normal. In addition, some new relations for K-generalized centrosymmetric matrices have been derived.
Matrices A such that R A = A^{s + 1} R when R^k = I
2013
This paper examines matrices A∈C^(n×n) such that R A = A^(s+1) R where R^k = I, the identity matrix, and where s and k are nonnegative integers with k⩾2. Spectral theory is used to characterize these matrices. The cases s = 0 and s⩾1 are considered separately since they are analyzed by different techniques.