Zobrazeno 1 - 10
of 274
pro vyhledávání: '"Qing-wen Wang"'
Publikováno v:
Mathematics, Vol 12, Iss 22, p 3571 (2024)
In this paper, we propose a definition of block tensors and the real representation of tensors. Equipped with the simplification method, i.e., the real representation along with the M-P inverse, we demonstrate the conditions that are necessary and su
Externí odkaz:
https://doaj.org/article/6916fc1c60de4d9794163246266f44bf
Publikováno v:
Symmetry, Vol 16, Iss 10, p 1359 (2024)
Dual generalized commutative quaternions have broad application prospects in many fields. Additionally, the matrix equation AXB=C has important applications in mathematics and engineering, especially in control systems, economics, computer science, a
Externí odkaz:
https://doaj.org/article/e0b8c9d0bafc475fa46ca7a193e9fced
Publikováno v:
Symmetry, Vol 16, Iss 9, p 1167 (2024)
In this paper, we develop an effective iterative algorithm to solve a generalized Sylvester tensor equation over quaternions which includes several well-studied matrix/tensor equations as special cases. We discuss the convergence of this algorithm wi
Externí odkaz:
https://doaj.org/article/b53cd8b061284ffabe6c76fcfa4cf281
Autor:
Kai-Wen Si, Qing-Wen Wang
Publikováno v:
Symmetry, Vol 16, Iss 4, p 491 (2024)
In this paper, we investigate the necessary and sufficient conditions for solving a dual split quaternion matrix equation AXB = C, and present the general solution expression when the solvability conditions are met. As an application, we delve into t
Externí odkaz:
https://doaj.org/article/14b796ac44ca4453bb085b1e3ca4920c
Publikováno v:
Mathematics, Vol 12, Iss 7, p 982 (2024)
We investigate and discuss in detail the structure of the restricted singular value decomposition for a tensor triplet under t-product (T-RSVD). The algorithm is provided with a numerical example illustrating the main result. For applications, we con
Externí odkaz:
https://doaj.org/article/f6c26c18b5ca44a68b9c2d38b8d11342
Publikováno v:
Symmetry, Vol 16, Iss 3, p 287 (2024)
Dual quaternions have wide applications in automatic differentiation, computer graphics, mechanics, and others. Due to its application in control theory, matrix equation AXB=C has been extensively studied. However, there is currently limited informat
Externí odkaz:
https://doaj.org/article/634239b263a84eb1a84b62dc8a826c50
Publikováno v:
Symmetry, Vol 16, Iss 3, p 361 (2024)
This paper considers the Hermitian solutions of a new system of commutative quaternion matrix equations, where we establish both necessary and sufficient conditions for the existence of solutions. Furthermore, we derive an explicit general expression
Externí odkaz:
https://doaj.org/article/6a23317777a045928c6f808769ac931f
Publikováno v:
Mathematics, Vol 11, Iss 9, p 2144 (2023)
The main aim of this paper is to study quaternion matrix factorization for low-rank quaternion matrix completion and its applications in color image processing. For the real-world color images, we proposed a novel model called low-rank quaternion mat
Externí odkaz:
https://doaj.org/article/cf66702097c64d53829043287d3e5f7c
Autor:
Yue-Ming Cai, Ru Li, Hua Ye, Jing He, Xiao-Lin Sun, Jia-Yang Jin, Jia-Jia Liu, Yu-Zhou Gan, Xu-Jie You, Jing Xu, Lian-Jie Shi, Gong Cheng, Qing-Wen Wang, Zhan-Guo Li, Pei-Fang Wei
Publikováno v:
Chinese Medical Journal, Vol 133, Iss 12, Pp 1397-1403 (2020)
Abstract. Background. Intensive therapy with disease modifying anti-rheumatic drugs (DMARDs) has been reported to improve the outcomes of rheumatoid arthritis (RA). However, real-world study on the effect of intensive therapy on RA sustained remissio
Externí odkaz:
https://doaj.org/article/4d4c69e4266c463abdcfec8b94fe404e
Publikováno v:
Symmetry, Vol 15, Iss 3, p 592 (2023)
In this paper, we propose three real representations of a generalized Segre quaternion matrix. We establish necessary and sufficient conditions for the existence of the η-anti-Hermitian solution to a system of constrained matrix equations over the g
Externí odkaz:
https://doaj.org/article/34bb64c8a1914cbc95ae53103ba751e8