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Dong Zhang
Institution:
Qufu Normal University
Observed institutions:
North-Eastern Federal University,
Qufu Normal University,
Heze University,
Shandong University of Science and Technology
ORCID:
0000-0003-4688-7762
Observed ORCID:
0000-0003-4688-7762
OpenAlex ID:
A5056103860
A complex structure-preserving algorithm for computing the singular value decomposition of a quaternion matrix and its applications
2023
·
Dong Zhang
, Tongsong Jiang
, et al.
·
Numerical Algorithms
·
25
A complex structure-preserving algorithm for the full rank decomposition of quaternion matrices and its applications
2022
·
Gang Wang
, Dong Zhang
, et al.
·
Numerical Algorithms
·
25
Algebraic techniques for least squares problems in commutative quaternionic theory
2020
·
Dong Zhang
, Zhenwei Guo
, et al.
·
Mathematical Methods in the Applied Sciences
·
22
On singular value decomposition and generalized inverse of a commutative quaternion matrix and applications
2023
·
Dong Zhang
, Tongsong Jiang
, et al.
·
Applied Mathematics and Computation
·
19
A fast algorithm for the Schrödinger equation in quaternionic quantum mechanics
2023
·
Tongsong Jiang
, Zhenwei Guo
, et al.
·
Applied Mathematics Letters
·
16
Algebraic techniques for least squares problem over generalized quaternion algebras: A unified approach in quaternionic and split quaternionic theory
2019
·
Gang Wang
, Zhenwei Guo
, et al.
·
Mathematical Methods in the Applied Sciences
·
13
Algebraic methods for equality constrained least squares problems in commutative quaternionic theory
2022
·
Dong Zhang
, Gang Wang
, et al.
·
Mathematical Methods in the Applied Sciences
·
12
Algebraic techniques for Maxwell’s equations in commutative quaternionic electromagnetics
2022
·
Zhenwei Guo
, Dong Zhang
, et al.
·
The European Physical Journal Plus
·
12
A complex structure-preserving algorithm for split quaternion matrix LDU decomposition in split quaternion mechanics
2021
·
Gang Wang
, Tongsong Jiang
, et al.
·
CALCOLO
·
12
Algebraic algorithms for a class of Schrödinger equations in split quaternionic mechanics
2024
·
Tongsong Jiang
, Gang Wang
, et al.
·
Mathematical Methods in the Applied Sciences
·
11
PDF
Two novel numerical methods for the diagonalisation of a reduced biquaternion matrix in the reduced biquaternionic algebra
2023
·
Dong Zhang
, Tongsong Jiang
, et al.
·
Linear and Multilinear Algebra
·
11
Real and complex solutions of the total least squares problem in commutative quaternionic theory
2024
·
Dong Zhang
, Tongsong Jiang
, et al.
·
Computational and Applied Mathematics
·
10
An efficient method for the split quaternion equality constrained least squares problem in split quaternionic mechanics
2023
·
Gang Wang
, Tongsong Jiang
, et al.
·
Computational and Applied Mathematics
·
9
An efficient method for the total least squares problem in reduced biquaternionic electromagnetics
2023
·
Dong Zhang
, Tongsong Jiang
, et al.
·
The European Physical Journal Plus
·
8
Two efficient algorithms for the commutative quaternion equality constrained least squares problem
2025
·
Dong Zhang
, Tongsong Jiang
, et al.
·
Journal of Computational and Applied Mathematics
·
6
Color image watermarking scheme based on singular value decomposition of split quaternion matrices
2025
·
Gang Wang
, Tongsong Jiang
, et al.
·
Journal of the Franklin Institute
·
5
Cramer’s rule over quaternions and split quaternions: A unified algebraic approach in quaternionic and split quaternionic mechanics
2020
·
Gang Wang
, Dong Zhang
, et al.
·
Journal of Algebra and Its Applications
·
5
Singular value decomposition of split quaternion matrices and its applications for color image processing
2025
·
Chuan Jiang
, Gang Wang
, et al.
·
Journal of Electronic Imaging
·
4
An algebraic algorithm for the diagonalization of a biquaternion matrix in the biquaternionic mechanics
2024
·
Dong Zhang
, Tongsong Jiang
, et al.
·
Computational and Applied Mathematics
·
3
Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic Mechanics
2023
·
Tongsong Jiang
, Dong Zhang
, et al.
·
Journal of Mathematics
·
3
PDF
A fast universal algorithm for quaternion singular value decomposition
2026
·
Dong Zhang
, Chuan Jiang
, et al.
·
Applied Mathematics Letters
·
2
An algebraic algorithm for the total least squares problem in commutative quaternionic theory
2025
·
Tongsong Jiang
, Dong Zhang
, et al.
·
Applied Mathematics and Computation
·
2
Efficient algorithms for the decomposition of skew-Hermitian and η-Hermitian quaternion matrices
2026
·
Gang Wang
, Chuan Jiang
, et al.
·
Journal of Computational and Applied Mathematics
·
1
Transformer-Based Neural Network Approaches for Speech Recognition and Synthesis in the Sakha Language
2026
·
S. P. Stepanov
, Dong Zhang
, et al.
·
Arctic XXI century
·
1
PDF
An algorithm for the split quaternion total least squares problem and application in color image restoration
2026
·
Dong Zhang
, Chuan Jiang
, et al.
·
Journal of Computational and Applied Mathematics
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Works count:
29
Citation count:
237
H-index:
11
I10-index:
12
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