Results 1 to 10 of about 566,606 (264)

Multiple gcd-closed sets and determinants of matrices associated with arithmetic functions

open access: yesOpen Mathematics, 2016
Let f be an arithmetic function and S= {x1, …, xn} be a set of n distinct positive integers. By (f(xi, xj)) (resp. (f[xi, xj])) we denote the n × n matrix having f evaluated at the greatest common divisor (xi, xj) (resp. the least common multiple [xi, xj]
Hong Siao, Hu Shuangnian, Hong Shaofang
doaj   +1 more source

Determinants and Inverses of Ppoeplitz and Ppankel matrices

open access: yesSpecial Matrices, 2018
In this paper, we consider two kinds of special matrices, which are called Ppoeplitz matrix and Ppankel matrix. The idea of matrix transformation is used to compute the determinants and inverses of the Ppoeplitz matrix and the Ppankel matrix.
Zuo Baishuai, Jiang Zhaolin, Fu Deqian
doaj   +1 more source

The coherence between PSMC6 and α-ring in the 26S proteasome is associated with Alzheimer’s disease

open access: yesFrontiers in Molecular Neuroscience
Alzheimer’s disease (AD) is a heterogeneous age-dependent neurodegenerative disorder. Its hallmarks involve abnormal proteostasis, which triggers proteotoxicity and induces neuronal dysfunction.
Jing Xiong   +4 more
doaj   +1 more source

Determinant Theory for Neutrosophic Hypersoft Rough Fuzzy Matrices [PDF]

open access: yesNeutrosophic Sets and Systems
In this study, we examine the determinant theory associated with Neutrosophic Hypersoft Rough Fuzzy Matrices (NHSRFMs) and investigate several of their structural properties.
G. Punithavalli, K. Ramany
doaj   +1 more source

Generalized matrix functions, determinant and permanent

open access: yesپژوهش‌های ریاضی, 2022
Introduction Since linear and multilinear algebra has many applications in different branches of sciences, the attention of many mathematicians has been attracted to it in recent decades. The determinant and the permanent are the most important functions
Mohammad Hossein Jafari, Ali Reza Madadi
doaj  

Determinant Theory of Quadri-Partitioned Neutrosophic Fuzzy Matrices and its Application to Multi-Criteria Decision-Making Problems [PDF]

open access: yesNeutrosophic Sets and Systems
We propose a refined method to compute the determinant of matrices with a higher number of rows and columns. Furthermore, an algorithm is developed to address decision-making problems based on QPNFMs.
M. Anandhkumar   +5 more
doaj   +1 more source

Generalizing the Cross Product to N Dimensions: A Novel Approach for Multidimensional Analysis and Applications

open access: yesMathematics
This paper presents a generalization of the cross product to N dimensions, extending the classical operation beyond its traditional confines in three-dimensional space.
Samir Brahim Belhaouari   +6 more
doaj   +1 more source

On Factorization and Calculation of Determinant of Block Matrices with Triangular Submatrices

open access: yesJournal of New Theory
In this paper, we consider some block matrices of dimension $nm\times{nm}$ whose components are triangular matrices of dimension $n\times{n}$. We prove that the determinant of such block matrices is determined only by the diagonal elements of their ...
Fatma Altun, Ufuk Kaya
doaj   +1 more source

A NOVEL PUBLIC-KEY CRYPTOGRAPHY SCHEME UTILIZING SKEW CIRCULANT MATRICES WITH GENERALIZED ALTERNATING FIBONACCI

open access: yesBarekeng
Circulant and skew circulant matrices play a significant role in various applications, especially in cryptography. Their determinants and inverses can be used in the decryption process.
Sapto Mukti Handoyo   +2 more
doaj   +1 more source

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