Yan Yu
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Yan Yu has a total of 8 co-authors. Here are the top co-authors by number of shared publications:
- Bo Dong
School of Mathematical Sciences, Dalian University of Technology, Dalian, China
2 shared publications Bo Dong
School of Mathematical Sciences, Dalian University of Technology, Dalian, China
1 shared publicationBo Yu
School of Mathematical Sciences, Dalian University of Technology, Dalian, China
1 shared publication- Bo Yu
School of Mathematical Sciences, Dalian University of Technology, Dalian, People’s Republic of China
1 shared publication - Chenyu Gao
School of Business Administration, Dongbei University of Finance and Economics, Dalian, China
1 shared publication Xinzhu Zhao
School of Mathematics and Statistics, Liaoning University, Shenyang, China
1 shared publication
Latest Publications
- 28 September 2026
- Published by Springer Nature in Journal of Systems Science and Complexity
- Vol. 39 (5) , 1968-1986
Homotopy Continuation Methods for Solving Polynomial Multiparameter Eigenvalue Problems
- 28 September 2026
- Published by Springer Nature in Journal of Systems Science and Complexity
- Vol. 39 (5) , 1968-1986
Homotopy Continuation Methods for Solving Polynomial Multiparameter Eigenvalue Problems
- 10 June 2025
- Published by Springer Nature in Computational and Applied Mathematics
- Vol. 44 (6) , 1-14
An alternating minimization algorithm for the minimal H-eigenvalue of the M-tensor
- 10 June 2025
- Published by Springer Nature in Computational and Applied Mathematics
- Vol. 44 (6) , 1-14
An alternating minimization algorithm for the minimal H-eigenvalue of the M-tensor
- Open Access
Tensor Eigenvalue and SVD from the Viewpoint of Linear Transformation
A linear transformation from vector space to another vector space can be represented as a matrix. This close relationship between the matrix and the linear transformation is helpful for the study of matrices. In this paper, the tensor is regarded as a generalization of the matrix from the viewpoint of the linear transformation instead of the quadratic form in matrix theory; we discuss some operations and present some definitions and theorems related to tensors. For example, we provide the definitions of the triangular form and the eigenvalue of a tensor, and the theorems of the tensor QR decomposition and the tensor singular value decomposition. Furthermore, we explain the significance of our definitions and their differences from existing definitions.
Open AccessTensor Eigenvalue and SVD from the Viewpoint of Linear Transformation
A linear transformation from vector space to another vector space can be represented as a matrix. This close relationship between the matrix and the linear transformation is helpful for the study of matrices. In this paper, the tensor is regarded as a generalization of the matrix from the viewpoint of the linear transformation instead of the quadratic form in matrix theory; we discuss some operations and present some definitions and theorems related to tensors. For example, we provide the definitions of the triangular form and the eigenvalue of a tensor, and the theorems of the tensor QR decomposition and the tensor singular value decomposition. Furthermore, we explain the significance of our definitions and their differences from existing definitions.