Results 101 to 110 of about 1,586,511 (197)

Commentary: Multidimensional discrete chaotic maps

open access: yesFrontiers in Physics, 2022
Rasa Smidtaite, Minvydas Ragulskis
doaj   +1 more source

Jordan structures of nilpotent matrices in the centralizer of a nilpotent matrix with two Jordan blocks of the same size

open access: yes, 2022
In this paper we characterize all nilpotent orbits under the action by conjugation that intersect the nilpotent centralizer of a nilpotent matrix $B$ consisting of two Jordan blocks of the same size. We list all the possible Jordan canonical forms of the
Bogdanić, Duško   +4 more
core  

When is the numerical range of a nilpotent matrix circular? [PDF]

open access: yes, 2010
The problem formulated in the title is investigated. The case of nilpotent matrices of size at most 4 allows a unitary treatment. The numerical range of a nilpotent matrix M of size at most 4 is circular if and only if the traces tr M∗M2 and tr M∗M3 are ...
Matache, Valentin   +1 more
core   +1 more source

Discrete–Time Linear Systems with Desired Poles and Zeros of the Transfer Matrices

open access: yesInternational Journal of Applied Mathematics and Computer Science
Methods for the design of discrete-time linear systems with desired poles and zeros of their transfer matrices are proposed. Conditions for the existence of the solution to the problem and the procedures for computation of the desired matrices are given.
Kaczorek Tadeusz, Sajewski Łukasz
doaj   +1 more source

The probability that a matrix be nilpotent

open access: yesIllinois Journal of Mathematics, 1958
Fine, N. J., Herstein, I. N.
openaire   +3 more sources

First order linear ordinary differential equations in associative algebras

open access: yesElectronic Journal of Differential Equations, 2004
In this paper, we study the linear differential equation $$ frac{dx}{dt}=sum_{i=1}^n a_i(t) x b_i(t) + f(t) $$ in an associative but non-commutative algebra $mathcal{A}$, where the $b_i(t)$ form a set of commuting $mathcal{A}$-valued functions expressed ...
Gordon Erlebacher, Garrret E. Sobczyk
doaj  

Graded hypoellipticity of BGG sequences. [PDF]

open access: yesAnn Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

A computational approach to 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type

open access: yes, 2010
Let g be a simple complex Lie algebra and let e be a nilpotent element of g. It was conjectured by Premet in [P07i] that the finite W-algebra U(g; e) admits a 1-dimensional representation, and further work [L10, P08] has reduced this conjecture to the ...
Ubly, Glenn
core   +1 more source

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