Results 41 to 50 of about 524 (74)
On the Consimilarity of Split Quaternions and Split Quaternion Matrices
In this paper, we introduce the concept of consimilarity of split quaternions and split quaternion matrices. In his regard, we examine the solvability conditions and general solutions of the equations and in split quaternions and split quaternion ...
Kösal Hidayet Hüda +2 more
doaj +1 more source
This paper is concerned with the numerical solutions of the general matrix equation $\sum ^{p}_{i=1}{\sum ^{s_{i}}_{j=1} }\,\,{A_{ij}X_{i}}{B_{ij}} = C$ , and the general discrete-time periodic matrix equations $\sum ^{p}_{i=1}\sum ^{s_{i}}_{j=1} (A_{i,
Basem I. Selim, Lei Du, Bo Yu
doaj +1 more source
Analytical solution of a class of coupled second order differential‐difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 385-396, 1993.
L. Jódar, J. A. Martin Alustiza
wiley +1 more source
Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices
In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
doaj +1 more source
Commutators from a hyperplane of matrices
Denote by $M_n(K)$ the algebra of $n$ by $n$ matrices with entries in the field $K$. A theorem of Albert and Muckenhoupt states that every trace zero matrix of $M_n(K)$ can be expressed as $AB-BA$ for some pair $(A,B)$ of matrices of $M_n(K)$.
Pazzis, Clément de Seguins
core +1 more source
Cramer's rule for a class of coupled Sylvester commutative quaternion matrix equations
In this article, based on the real representation and Kronecker product, Cramer’s rule for a class of coupled Sylvester commutative quaternion matrix equations is studied and its expression is obtained.
Cai Xiaomin, Ke Yifen, Ma Changfeng
doaj +1 more source
Distributive and Dual Distributive Elements in Hyperlattices
In this paper we introduce and study distributive elements, dual distributive elements in hyperlattices, and prove that these elements forms ∧-semi lattice and ∨-semi hyperlattice, respectively.
Ameri Reza +3 more
doaj +1 more source
Space distribution of a weed seedbank in a bean cultivation area [PDF]
The objective of this work was to elucidate the characteristics of space distribution of a weed seedbank in order to assist in decision-making for the adoption of management techniques applied to an area under bean monoculture.
Jefferson Luis Meirelles Coimbra +5 more
doaj
Prime filters of hyperlattices
The purpose of this paper is the study of prime ideals and prime filters in hyperlattices. I-filter and the filter generated by a ∈ L are introduced. Moreover, we introduce dual distributive hyperlattices, and I-filter in dual distributive hyperlattices.
Ameri Reza +3 more
doaj +1 more source
Monotone matrix functions of successive orders [PDF]
This paper extends a result obtained by Wigner and von Neumann. We prove that a non-constant real-valued function, f(x), in C^3(I) where I is an interval of the real line, is a monotone matrix function of order n+1 on I if and only if a related, modified
Nayak, Suhas
core

