Tongsong Jiang

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 15

Top Topics

Singular Value Decomposition

Quantum Mechanics

Top Venues

Appl. Math. Comput.

Appl. Math. Lett.

Comput. Appl. Math.

Numer. Algorithms

Publications

Dong Zhang, Tongsong Jiang, Chuan Jiang, Gang Wang
A complex structure-preserving algorithm for computing the singular value decomposition of a quaternion matrix and its applications. Numer. Algorithms 95 (1) (2024)
Gang Wang, Tongsong Jiang, V. I. Vasil'ev, Zhenwei Guo
On singular value decomposition for split quaternion matrices and applications in split quaternionic mechanics. J. Comput. Appl. Math. 436 (2024)
Zhenwei Guo, Tongsong Jiang, V. I. Vasil'ev, Gang Wang
Complex structure-preserving method for Schrödinger equations in quaternionic quantum mechanics. Numer. Algorithms 97 (1) (2024)
Dong Zhang, Tongsong Jiang, Zhenwei Guo, V. I. Vasil'ev
An algebraic algorithm for the diagonalization of a biquaternion matrix in the biquaternionic mechanics. Comput. Appl. Math. 43 (4) (2024)
Zhenwei Guo, Tongsong Jiang, Gang Wang, V. I. Vasil'ev
Algebraic algorithms for eigen-problems of a reduced biquaternion matrix and applications. Appl. Math. Comput. 463 (2024)
Dong Zhang, Tongsong Jiang, Zhenwei Guo, V. I. Vasil'ev
Real and complex solutions of the total least squares problem in commutative quaternionic theory. Comput. Appl. Math. 43 (4) (2024)
Tongsong Jiang, Zhenwei Guo, Dong Zhang, V. I. Vasil'ev
A fast algorithm for the Schrödinger equation in quaternionic quantum mechanics. Appl. Math. Lett. 150 (2024)
Dong Zhang, Tongsong Jiang, Gang Wang, V. I. Vasil'ev
On singular value decomposition and generalized inverse of a commutative quaternion matrix and applications. Appl. Math. Comput. 460 (2024)
Zhenwei Guo, Tongsong Jiang, V. I. Vasil'ev, Gang Wang
A novel algebraic approach for the Schrödinger equation in split quaternionic mechanics. Appl. Math. Lett. 137 (2023)
Gang Wang, Tongsong Jiang, Dong Zhang, V. I. Vasil'ev
An efficient method for the split quaternion equality constrained least squares problem in split quaternionic mechanics. Comput. Appl. Math. 42 (6) (2023)
Gang Wang, Dong Zhang, Vasily. I. Vasiliev, Tongsong Jiang
A complex structure-preserving algorithm for the full rank decomposition of quaternion matrices and its applications. Numer. Algorithms 91 (4) (2022)
Tongsong Jiang, Zhaozhong Zhang, Ziwu Jiang
Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics. Comput. Phys. Commun. 229 (2018)
Tongsong Jiang, Zhaozhong Zhang, Ziwu Jiang
Algebraic techniques for Schrödinger equations in split quaternionic mechanics. Comput. Math. Appl. 75 (7) (2018)
Sitao Ling, Zhigang Jia, Tongsong Jiang
LSQR algorithm with structured preconditioner for the least squares problem in quaternionic quantum theory. Comput. Math. Appl. 73 (10) (2017)
Tongsong Jiang, Xuehan Cheng, Sitao Ling
An algebraic technique for total least squares problem in quaternionic quantum theory. Appl. Math. Lett. 52 (2016)
Sitao Ling, Xuehan Cheng, Tongsong Jiang
Consimilarity of quaternions and coneigenvalues of quaternion matrices. Appl. Math. Comput. 270 (2015)
Zhaozhong Zhang, Ziwu Jiang, Tongsong Jiang
Algebraic methods for least squares problem in split quaternionic mechanics. Appl. Math. Comput. 269 (2015)
Tongsong Jiang, Xuehan Cheng, Sitao Ling
An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications. J. Appl. Math. 2014 (2014)
Tongsong Jiang, Ziwu Jiang, Sitao Ling
An algebraic method for quaternion and complex Least Squares coneigen-problem in quantum mechanics. Appl. Math. Comput. 249 (2014)
Hongxue Chu, Tongsong Jiang
Particular Solutions of a Class of Nonlinear Reaction-Diffusion Equations. ICICA (1) (2013)
Ling De Su, Zi-Wu Jiang, Tongsong Jiang
Numerical Solution for a Kind of Nonlinear Telegraph Equations Using Radial Basis Functions. ICICA (1) (2013)
Xiaolei Wang, Tongsong Jiang, Ziwu Jiang
PDEs Solution Based on Two-Stage MFS-MPS and One-Stage MFS-MPS. ICICA (2) (2012)
Tongsong Jiang, Xiaolei Wang, Zhaozhong Zhang
Solutions for One-Dimensional Time-Dependent Schrödinger Equations. ICICA (2) (2012)
Sitao Ling, Tongsong Jiang, Xuehan Cheng
Algebraic method for solving a class of quaternion algebraic Riccati equation. FSKD (2012)
Tongsong Jiang, Li Chen
An algebraic method for Schrödinger equations in quaternionic quantum mechanics. Comput. Phys. Commun. 178 (11) (2008)
Tongsong Jiang, Li Chen
Algebraic algorithms for least squares problem in quaternionic quantum theory. Comput. Phys. Commun. 176 (7) (2007)
Tongsong Jiang, Musheng Wei
Equality constrained least squares problem over quaternion field. Appl. Math. Lett. 16 (6) (2003)