Zobrazeno 1 - 10
of 1 273
pro vyhledávání: '"Wei Yimin"'
Publikováno v:
Special Matrices, Vol 12, Iss 1, Pp 381-395 (2024)
In this study, we derive the Drazin inverse (A+εB)D{\left(A+\varepsilon B)}^{D} of the complex matrix A+εBA+\varepsilon B with Ind(A+εB)>1{\rm{Ind}}\left(A+\varepsilon B)\gt 1 and Ind(A)=k{\rm{Ind}}\left(A)=k and the group inverse (A+εB)#{\left(A
Externí odkaz:
https://doaj.org/article/2248bd5892e44bf8885f3741251a1d9f
The outer inverse of tensors plays increasingly significant roles in computational mathematics, numerical analysis, and other generalized inverses of tensors. In this paper, we compute outer inverses with prescribed ranges and kernels of a given tens
Externí odkaz:
http://arxiv.org/abs/2409.07007
In this paper, we focus on the fixed TT-rank and precision problems of finding an approximation of the tensor train (TT) decomposition of a tensor. Note that the TT-SVD and TT-cross are two well-known algorithms for these two problems. Firstly, by co
Externí odkaz:
http://arxiv.org/abs/2405.07147
Matrix decompositions in dual number representations have played an important role in fields such as kinematics and computer graphics in recent years. In this paper, we present a QR decomposition algorithm for dual number matrices, specifically geare
Externí odkaz:
http://arxiv.org/abs/2404.13525
Autor:
Chang, Shih Yu, Wei, Yimin
The original Choi-Davis-Jensen's inequality, with its wide-ranging applications in diverse scientific and engineering fields, has motivated researchers to explore generalizations. In this study, we extend Davis-Choi-Jensen's inequality by considering
Externí odkaz:
http://arxiv.org/abs/2403.04892
Publikováno v:
Dianzi Jishu Yingyong, Vol 44, Iss 3, Pp 99-102 (2018)
At present, most spectrum sensing algorithms based on energy detector and cyclic spectral density detector can only achieve well performance in the stationary noise, but fail to apply in the non-stationary noise environment. To remove enormous effect
Externí odkaz:
https://doaj.org/article/d70c243b612640f985b113b91988fab1
Publikováno v:
Dianzi Jishu Yingyong, Vol 44, Iss 2, Pp 88-91 (2018)
In view of the dynamic sources in the noisy case, this paper proposes a novel online blind source separation(BSS) algorithm which contains two parts. One is a dynamic source number estimation algorithm based on Rissanen’s minimum description length
Externí odkaz:
https://doaj.org/article/e5c134faacca43eb95e15b29bb6a342f
In a recent paper by Chen et al. [9], the authors initiated the control-theoretic study of a class of discrete-time multilinear time-invariant (MLTI) control systems, where system states, inputs, and outputs are all tensors endowed with the Einstein
Externí odkaz:
http://arxiv.org/abs/2402.13491
Nonnegative Matrix Factorization (NMF) is an important unsupervised learning method to extract meaningful features from data. To address the NMF problem within a polynomial time framework, researchers have introduced a separability assumption, which
Externí odkaz:
http://arxiv.org/abs/2401.16836
We propose a tensor product structure that is compatible with the hypergraph structure. We define the algebraic connectivity of the $(m+1)$-uniform hypergraph in this product, and prove the relationship with the vertex connectivity. We introduce some
Externí odkaz:
http://arxiv.org/abs/2310.04682