Results 101 to 110 of about 1,700,750 (206)

Left and Right Generalized Drazin Invertibility of an Upper Triangular Operator Matrices with Application to Boundary Value Problems

open access: yesInternational Journal of Analysis and Applications, 2019
When A ∈ B(H) and B ∈ B(K) are given, we denote by MC the operator on the Hilbert space H ⊕ K of the form MC = (A C 0 B). In this paper we investigate the quasi-nilpotent part and the analytical core for the upper triangular operator matrix MC in terms ...
Kouider Miloud Hocine   +2 more
doaj   +2 more sources

Multidual Complex Numbers and the Hyperholomorphicity of Multidual Complex-Valued Functions

open access: yesAxioms
We develop a rigorous algebraic–analytic framework for multidual complex numbers DCn within the setting of Clifford analysis and establish a comprehensive theory of hyperholomorphic multidual complex-valued functions.
Ji Eun Kim
doaj   +1 more source

New insights into vector-autoregressive econometric models for core-nilpotent decomposition of the total effect matrix

open access: yes, 2009
This paper pinpoints the role played by the core-nilpotent decomposition of the total effect matrix in detecting the integration order of a vector autoregressive (VAR) econometric model and in establishing closed-form expressions for the coefficients of ...
Zoia, Maria
core  

Nilpotent factorization of matrices

open access: yes, 2010
We show that, with the exception of 2 x 2 nonzero nilpotent matrices, every singular square matrix over an arbitrary field is a product of two nilpotent ...
Sourour, A. R.
core  

Cohomological dimension and arithmetical rank of some determinantal ideals

open access: yesLe Matematiche, 2015
Let M be a (2 × n) non-generic matrix of linear forms in a polynomial ring. For large classes of such matrices, we compute the cohomological dimension (cd) and the arithmetical rank (ara) of the ideal I_2(M) generated by the 2-minors of M.
Davide Bolognini   +3 more
doaj  

Commentary: Multidimensional discrete chaotic maps

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

Jordan Canonical Forms of Commuting Nilpotent Matrices

open access: yes, 2015
https://rdc.reed.edu/v1/resources/76c32bdb-9e40-4271-b706-6a15ce9c6b3b/thumb/128.jpgIn this thesis we study Jordan canonical forms and their relation to pairs of commuting nilpotent matrices.
Melton, Damon
core  

Home - About - Disclaimer - Privacy