Results 91 to 100 of about 1,586,511 (197)

Commuting Solutions of a Quadratic Matrix Equation for Nilpotent Matrices

, 2018
We solve the quadratic matrix equation AXA = XAX with a given nilpotent matrix A, to find all commuting solutions. We first provide a key lemma, and consider the special case that A has only one Jordan block to motivate the idea for the general case ...
Qixiang Dong, Jiu Ding, Qianglian Huang
core   +1 more source

Index reduction for rectangular descriptor systems via feedbacks

Cogent Engineering, 2017
Index plays a fundamental role in the study of descriptor systems. For regular descriptor systems, calculation of the index can be performed by calculating the index of the nilpotent matrix obtained by means of the Weierstrass canonical form ...
Vikas Kumar Mishra, Nutan Kumar Tomar, Mahendra Kumar Gupta   +2 more
doaj   +1 more source

Computational Study of Fuzzy Neutrosophic Soft Matrices in Python: Consistency and Weak Transitivity [PDF]

Neutrosophic Sets and Systems
In this study, we introduce a novel framework for defining and analyzing two specific types of Fuzzy Neutrosophic Soft Matrices (FNSMs): consistent and weakly transitive.
M Kavitha, Sive M, P Murugadas, K Rameshware   +3 more
doaj   +1 more source

On primeness and nilpotence in structural matrix near-rings [PDF]

Proceedings of the Edinburgh Mathematical Society, 1996
The structure of completely prime ideals in any structural matrix near-rings is determined. Partial descriptions are obtained for prime, nil, nilpotent, and locally nilpotent ideals of structural matrix near-rings. Their associated radicals are also studied in this paper.
openaire   +1 more source

Infinite distances in field space and massless towers of states

Journal of High Energy Physics, 2018
It has been conjectured that in theories consistent with quantum gravity infinite distances in field space coincide with an infinite tower of states becoming massless exponentially fast in the proper field distance.
Thomas W. Grimm, Eran Palti, Irene Valenzuela   +2 more
doaj   +1 more source

On Weak e-Reflexive Rings and Their Nil Extensions

Axioms
In this work, we establish the relationships between weak e-reversibility and weak e-semicommutativity, introducing weak e-reflexive rings as a natural generalization of reflexive and e-reflexive rings.
Awn Alqahtani, Eltiyeb Ali, Khalid I. A. Ahmed   +2 more
doaj   +1 more source

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

International 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, Bekkai Messirdi, Mohammed Benharrat   +2 more
doaj   +2 more sources

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

Axioms
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

Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]

Calc Var Partial Differ Equ, 2023
Don S, Magnani V.
europepmc   +1 more source

Cohomological dimension and arithmetical rank of some determinantal ideals

Le 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, Alessio Caminata, Antonio Macchia, Maral Mostafazadehfard   +3 more
doaj