Zobrazeno 1 - 10
of 671
pro vyhledávání: '"Wang Qing-Wen"'
We extend the concept of the m-weak group MP inverse of a square matrix to a rectangular matrix, called the W-weighted m-weak group MP inverse, which also unifies the W-weighted weak core inverse and W-weighted DMP inverse. Some properties, character
Externí odkaz:
http://arxiv.org/abs/2411.01481
The quaternion biconjugate gradient (QBiCG) method, as a novel variant of quaternion Lanczos-type methods for solving the non-Hermitian quaternion linear systems, does not yield a minimization property. This means that the method possesses a rather i
Externí odkaz:
http://arxiv.org/abs/2402.03624
The purpose of this paper is to extend the definition of the m-weak group inverse from a square matrix to a rectangular matrix, called the W-weighted m-weak group inverse. This new generalized inverse is also a generalization of the weak group invers
Externí odkaz:
http://arxiv.org/abs/2312.10704
Autor:
Xie, Lv-Ming, Wang, Qing-Wen
We employ the M-P inverses and ranks of quaternion matrices to establish the necessary and sufficient conditions for solving a system of the dual quaternion matrix equations $(AX, XC) = (B, D)$, along with providing an expression for its general solu
Externí odkaz:
http://arxiv.org/abs/2312.10037
The application of eigenvalue theory to dual quaternion Hermitian matrices holds significance in the realm of multi-agent formation control. In this paper, we study the Rayleigh quotient iteration (RQI) for solving the right eigenpairs of dual quater
Externí odkaz:
http://arxiv.org/abs/2310.20290
In this paper, we propose the global quaternion full orthogonalization (Gl-QFOM) and global quaternion generalized minimum residual (Gl-QGMRES) methods, which are built upon global orthogonal and oblique projections onto a quaternion matrix Krylov su
Externí odkaz:
http://arxiv.org/abs/2308.13214
Autor:
Wang, Qing-Wen, Liu, Long-Sheng
Sylvester-type matrix equations have applications in areas including control theory, neural networks, and image processing. In this paper, we establish the necessary and sufficient conditions for the system of Sylvester-type quaternion matrix equatio
Externí odkaz:
http://arxiv.org/abs/2212.02146
Autor:
Shi, Lei1 (AUTHOR) sl6@shu.edu.cn, Wang, Qing-Wen1,2 (AUTHOR) wqw@shu.edu.cn, Xie, Lv-Ming1 (AUTHOR), Zhang, Xiao-Feng3 (AUTHOR) xiaofeng.zhang@newtouch.com
Publikováno v:
Symmetry (20738994). Oct2024, Vol. 16 Issue 10, p1359. 13p.
Autor:
Xie, Mengyan1,2 (AUTHOR) myxie@shou.edu.cn, Wang, Qing-Wen2,3 (AUTHOR) wqw@t.shu.edu.cn, Zhang, Yang4 (AUTHOR) yang.zhang@umanitiba.ca
Publikováno v:
Symmetry (20738994). Sep2024, Vol. 16 Issue 9, p1167. 22p.
Autor:
Wang, Qing-Wen, Mehany, Mahmoud Saad
This study establishes consistency conditions and a general solution for a coupled system that consists of five two-sided Sylvester-like tensor equations in ten quaternion variables throughout the Einstein tensor product. Certain specific cases are t
Externí odkaz:
http://arxiv.org/abs/2205.14810