Equality constrained least squares problem over quaternion field. - Tongsong Jiang; Musheng Wei (Appl. Math. Lett., 2003)

Algebraic algorithms for least squares problem in quaternionic quantum theory. - Tongsong Jiang; Li Chen (Comput. Phys. Commun., 2007)

An algebraic method for Schrödinger equations in quaternionic quantum mechanics. - Tongsong Jiang; Li Chen (Comput. Phys. Commun., 2008)

Algebraic method for solving a class of quaternion algebraic Riccati equation. - Sitao Ling; Tongsong Jiang; Xuehan Cheng (FSKD, 2012)

Solutions for One-Dimensional Time-Dependent Schrödinger Equations. - Tongsong Jiang; Xiaolei Wang; Zhaozhong Zhang (ICICA (2), 2012)

PDEs Solution Based on Two-Stage MFS-MPS and One-Stage MFS-MPS. - Xiaolei Wang; Tongsong Jiang; Ziwu Jiang (ICICA (2), 2012)

Particular Solutions of a Class of Nonlinear Reaction-Diffusion Equations. - Hongxue Chu; Tongsong Jiang (ICICA (1), 2013)

Numerical Solution for a Kind of Nonlinear Telegraph Equations Using Radial Basis Functions. - Ling De Su; Zi-Wu Jiang; Tongsong Jiang (ICICA (1), 2013)

An algebraic method for quaternion and complex Least Squares coneigen-problem in quantum mechanics. - Tongsong Jiang; Ziwu Jiang; Sitao Ling (Appl. Math. Comput., 2014)

An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications. - Tongsong Jiang; Xuehan Cheng; Sitao Ling (J. Appl. Math., 2014)

Consimilarity of quaternions and coneigenvalues of quaternion matrices. - Sitao Ling; Xuehan Cheng; Tongsong Jiang (Appl. Math. Comput., 2015)

Algebraic methods for least squares problem in split quaternionic mechanics. - Zhaozhong Zhang; Ziwu Jiang; Tongsong Jiang (Appl. Math. Comput., 2015)

An algebraic technique for total least squares problem in quaternionic quantum theory. - Tongsong Jiang; Xuehan Cheng; Sitao Ling (Appl. Math. Lett., 2016)

LSQR algorithm with structured preconditioner for the least squares problem in quaternionic quantum theory. - Sitao Ling; Zhigang Jia; Tongsong Jiang (Comput. Math. Appl., 2017)

Algebraic techniques for Schrödinger equations in split quaternionic mechanics. - Tongsong Jiang; Zhaozhong Zhang; Ziwu Jiang (Comput. Math. Appl., 2018)

Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics. - Tongsong Jiang; Zhaozhong Zhang; Ziwu Jiang (Comput. Phys. Commun., 2018)

A complex structure-preserving algorithm for the full rank decomposition of quaternion matrices and its applications. - Gang Wang 042; Dong Zhang; Vasily I. Vasiliev; Tongsong Jiang (Numer. Algorithms, 2022)

A novel algebraic approach for the Schrödinger equation in split quaternionic mechanics. - Zhenwei Guo; Tongsong Jiang; V. I. Vasil'ev; Gang Wang 042 (Appl. Math. Lett., 2023)

An efficient method for the split quaternion equality constrained least squares problem in split quaternionic mechanics. - Gang Wang 042; Tongsong Jiang; Dong Zhang; V. I. Vasil'ev (Comput. Appl. Math., 2023)

An algebraic algorithm for the diagonalization of a biquaternion matrix in the biquaternionic mechanics. - Dong Zhang; Tongsong Jiang; Zhenwei Guo; V. I. Vasil'ev (Comput. Appl. Math., 2024)

Real and complex solutions of the total least squares problem in commutative quaternionic theory. - Dong Zhang; Tongsong Jiang; Zhenwei Guo; V. I. Vasil'ev (Comput. Appl. Math., 2024)

On singular value decomposition and generalized inverse of a commutative quaternion matrix and applications. - Dong Zhang; Tongsong Jiang; Gang Wang 042; V. I. Vasil'ev (Appl. Math. Comput., 2024)

On singular value decomposition for split quaternion matrices and applications in split quaternionic mechanics. - Gang Wang 042; Tongsong Jiang; V. I. Vasil'ev; Zhenwei Guo (J. Comput. Appl. Math., 2024)

A complex structure-preserving algorithm for computing the singular value decomposition of a quaternion matrix and its applications. - Dong Zhang; Tongsong Jiang; Chuan Jiang; Gang Wang 042 (Numer. Algorithms, 2024)

Algebraic algorithms for eigen-problems of a reduced biquaternion matrix and applications. - Zhenwei Guo; Tongsong Jiang; Gang Wang 042; V. I. Vasil'ev (Appl. Math. Comput., 2024)

A fast algorithm for the Schrödinger equation in quaternionic quantum mechanics. - Tongsong Jiang; Zhenwei Guo; Dong Zhang; V. I. Vasil'ev (Appl. Math. Lett., 2024)

Complex structure-preserving method for Schrödinger equations in quaternionic quantum mechanics. - Zhenwei Guo; Tongsong Jiang; V. I. Vasil'ev; Gang Wang 042 (Numer. Algorithms, 2024)

An algebraic algorithm for the total least squares problem in commutative quaternionic theory. - Tongsong Jiang; Dong Zhang; Zhenwei Guo; V. I. Vasil'ev (Appl. Math. Comput., 2025)

An efficient algorithm for the eigenvalue problem of a Hermitian quaternion matrix in quantum chemistry. - Zhenwei Guo; Tongsong Jiang; Gang Wang 042; V. I. Vasil'ev (J. Comput. Appl. Math., 2025)

Color image watermarking scheme based on singular value decomposition of split quaternion matrices. - Gang Wang 042; Tongsong Jiang; Dong Zhang; V. I. Vasil'ev (J. Frankl. Inst., 2025)

Two efficient algorithms for the commutative quaternion equality constrained least squares problem. - Dong Zhang; Tongsong Jiang; Gang Wang 042; V. I. Vasil'ev (J. Comput. Appl. Math., 2026)