成果/Result
- Cramer's rule for a system of quaternion matrix equations with applications被引量：37收藏
- 作者：Song, Guang-Jing Wang, Qing-Wen Yu, Shao-Wen
- 机构：Weifang Univ;Shanghai Univ;East China Univ Sci & Technol
- 来源：APPLIED MATHEMATICS AND COMPUTATION 2018
- 关键词：Quaternion matrix Cramer's rule Matrix equations Determinant
- The equivalence canonical form of five quaternion matrices with applications to imaging and Sylvester-type equations被引量：28收藏
- 作者：Yu, Shao-Wen He, Zhuo-Heng Qi, Tian-Cheng Wang, Xiang-Xiang
- 机构：East China Univ Sci & Technol;Shanghai Univ
- 来源：JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2021
- 关键词：Quaternion matrix decomposition Quaternion matrix equation General solution Solvability Imaging
- An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications被引量：27收藏
- 作者：Wang QingWen van der Woude, J. W. Yu ShaoWen
- 机构：Shanghai Univ;Delft Univ Technol;E China Univ Sci & Technol
- 来源：SCIENCE CHINA-MATHEMATICS 2011
- 关键词：division ring linear matrix equation equivalence canonical form of a matrix triplet decomposition
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- Extreme Ranks of Real Matrices in Solution of the Quaternion Matrix Equation AXB = C with Applications被引量：23收藏
- 作者：Wang, Qingwen Yu, Shaowen Xie, Wei
- 机构：Shanghai Univ;E China Univ Sci & Technol
- 来源：ALGEBRA COLLOQUIUM 2010
- 关键词：quaternion matrix equation minimal rank maximal rank generalized inverse real solution
- THE REAL SOLUTIONS TO A SYSTEM OF QUATERNION MATRIX EQUATIONS WITH APPLICATIONS被引量：18收藏
- 作者：Wang, Qing-Wen Yu, Shao-Wen Zhang, Qin
- 机构：Shanghai Univ;E China Univ Sci & Technol
- 来源：COMMUNICATIONS IN ALGEBRA 2009
- 关键词：Generalized inverse Maximal rank Minimal rank Quaternion matrix equation Real solution
- The common bisymmetric nonnegative definite solutions with extreme ranks and inertias to a pair of matrix equations被引量：17收藏
- 作者：Wang, Qing-Wen Liu, Xin Yu, Shao-Wen
- 机构：E China Univ Sci & Technol;Shanghai Univ
- 来源：APPLIED MATHEMATICS AND COMPUTATION 2011
- 关键词：System of quaternion matrix equations Rank Inertia Bisymmetric matrix Bisymmetric nonnegative definite matrix
- The Solution of a Generalized Sylvester Quaternion Matrix Equation and Its Application被引量：12收藏
- 作者：Song, Guang-Jing Yu, Shaowen
- 机构：Weifang Univ;East China Univ Sci & Technol
- 来源：ADVANCES IN APPLIED CLIFFORD ALGEBRAS 2017
- 关键词：Moore-Penrose inverse Generalized Sylvester matrix equation eta-Hermitian matrix
- Cramer's Rule for the General Solution to a Restricted System of Quaternion Matrix Equations被引量：8收藏
- 作者：Song, Guang-Jing Yu, Shao-Wen
- 机构：Weifang Univ;East China Univ Sci & Technol
- 来源：ADVANCES IN APPLIED CLIFFORD ALGEBRAS 2019
- 关键词：Quaternion matrix Cramer's rule Matrix equations Determinant
- Development of an oral gut-targeted rabies virus-like particles (RVLPs) vaccine with mucosal immune adjuvant LTB via delivering of localized-release microparticles被引量：6收藏
- 作者：Niu, Jinping Zhao, Zhangting Zhang, Tong Liu, Qingwei Huang, Liyao Li, Shipo Liu, Haipeng Yu, Shaowen Li, Linfeng Jia, Hao Zheng, Wenyun Yang, Feng Ma, Xingyuan
- 机构：East China Univ Sci & Technol;East China Univ Sci & Technol;Xiamen Univ;East China Univ Sci & Technol;Shanghai Jiao Tong Univ
- 来源：EMERGING MICROBES & INFECTIONS 2025
- 关键词：Oral gut-targeted rabies virus-like particles (RVLPs) mucosal immune vaccines localized-release microparticles LTB B subunit of heat-labile toxin (LTB) PLGA/Eudradit microparticle (EPLGA MPs)
- A System of Four Generalized Sylvester Matrix Equations over the Quaternion Algebra被引量：4收藏
- 作者：He, Zhuo-Heng Tian, Jie Yu, Shao-Wen
- 机构：Shanghai Univ;Shanghai Univ;East China Univ Sci & Technol
- 来源：MATHEMATICS 2024
- 关键词：quaternion matrix equation matrix decomposition solvability general solution
- The Solvability of a System of Quaternion Matrix Equations Involving φ-Skew-Hermicity被引量：3收藏
- 作者：He, Zhuo-Heng Zhang, Xiao-Na Zhao, Yun-Fan Yu, Shao-Wen
- 机构：Shanghai Univ;Univ Calif Los Angeles;East China Univ Sci & Technol
- 来源：SYMMETRY-BASEL 2022
- 关键词：quaternion algebra matrix decompositions matrix equations phi-skew-Hermicity
- RANKS OF THE COMMON SOLUTION TO SOME QUATERNION MATRIX EQUATIONS WITH APPLICATIONS被引量：3收藏
- 作者：Wang, Q. W. Yu, S. W.
- 机构：E China Univ Sci & Technol;Fudan Univ;Shanghai Univ;Nanyang Technol Univ
- 来源：BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 2012
- 关键词：Quaternion matrix equation maximal and minimal rank generalized inverse real solution complex solution
- Nonnegative definite and Re-nonnegative definite solutions to a system of matrix equations with statistical applications被引量：3收藏
- 作者：Song, Guangjing Yu, Shaowen
- 机构：Weifang Univ;East China Univ Sci & Technol
- 来源：APPLIED MATHEMATICS AND COMPUTATION 2018
- 关键词：Matrix equation Nonnegative definite solution Positive definite solution Rank Inertia
- RSVD for Three Quaternion Tensors with Applications in Color Video Watermark Processing被引量：3收藏
- 作者：Chen, Wen-Juan Yu, Shao-Wen
- 机构：East China Univ Sci & Technol
- 来源：AXIOMS 2023
- 关键词：tensor decomposition quaternion algebra
- Some Systems of Tensor Equations Under T-Product and their Applications被引量：2收藏
- 作者：Yu, Shao-Wen Qin, Wei-Lu He, Zhuo-Heng
- 机构：East China Univ Sci & Technol;Shanghai Univ
- 来源：FILOMAT 2021
- 关键词：Tensor equation Moore-Penrose inverse General solution Solvability Symmetric solution
- Some Properties of Reduced Biquaternion Tensors被引量：2收藏
- 作者：Liu, Ting-Ting Yu, Shao-Wen
- 机构：Shanghai Univ;Shanghai Univ;East China Univ Sci & Technol
- 来源：SYMMETRY-BASEL 2024
- 关键词：reduced biquaternion tensors eigenvalues and eigentensors complex representation
- Consistency and General Solutions to Some Sylvester-like Quaternion Matrix Equations被引量：1收藏
- 作者：He, Zhuo-Heng Tian, Jie Zhao, Yun-Fan Yu, Shao-Wen
- 机构：Shanghai Univ;Univ Calif Los Angeles;East China Univ Sci & Technol
- 来源：SYMMETRY-BASEL 2022
- 关键词：quaternion matrix equation matrix decomposition consistency general solution
- A New Expression of the Hermitian Solutions to a System of Matrix Equations with Applications被引量：1收藏
- 作者：Song, Guangjing Yu, Shaowen Chen, Ming
- 机构：Weifang Univ;E China Univ Sci & Technol;Jiaxing Univ
- 来源：ALGEBRA COLLOQUIUM 2016
- 关键词：matrix equations linear matrix expression generalized inverse inertias
- The block independence in the generalized inverse AT,S(2) for some ordered matrices and applications被引量：1收藏
- 作者：Song, Guang-Jing Yu, Shaowen
- 机构：Weifang Univ;E China Univ Sci & Technol
- 来源：APPLIED MATHEMATICS AND COMPUTATION 2014
- 关键词：Rank Linear matrix expression Moore-Penrose inverse Drazin inverse Weighted Moore-Penrose inverse Block matrix
- On Solvability of Hermitian Solutions to a System of Five Matrix Equations被引量：1收藏
- 作者：Yu, Shao-wen Song, Guang-jing
- 机构：E China Univ Sci & Technol;Weifang Univ
- 来源：MEDITERRANEAN JOURNAL OF MATHEMATICS 2014
- 关键词：System of Matrix equations minimal rank maximal rank Hermitian solution generalized inverse
- Ranks of a Constrained Hermitian Matrix Expression with Applications (vol 2013, 514984, 2013)被引量：0收藏
- 作者：Yu, Shao-Wen
- 机构：E China Univ Sci & Technol
- 来源：JOURNAL OF APPLIED MATHEMATICS 2013
- Simultaneous Decompositions of Two Sets of Five Quaternion Tensors and Applications in Color Videos Processing被引量：0收藏
- 作者：He, Zhuo-Heng Jiang, Yu-Fei Deng, Mei-Ling Yu, Shao-Wen
- 机构：Shanghai Univ;Shanghai Univ;Shanghai Univ;Univ Nevada;East China Univ Sci & Technol
- 来源：MATHEMATICS 2026
- 关键词：tensor decomposition quaternion algebra Einstein product simultaneous decomposition color video encryption tensor quintuples
- Some Properties of the Solution to a System of Quaternion Matrix Equations被引量：0收藏
- 作者：Yu, Shao-Wen Zhang, Xiao-Na Qin, Wei-Lu He, Zhuo-Heng
- 机构：East China Univ Sci & Technol;Shanghai Univ
- 来源：AXIOMS 2022
- 关键词：quaternion algebra matrix decompositions matrix equations phi-skew-Hermicity signature bounds
- Ranks of a Constrained Hermitian Matrix Expression with Applications被引量：0收藏
- 作者：Yu, Shao-Wen
- 机构：E China Univ Sci & Technol
- 来源：JOURNAL OF APPLIED MATHEMATICS 2013
- A Color Image Encryption Model Based on a System of Quaternion Matrix Equations被引量：0收藏
- 作者：Qi, Chen-Yang Liu, Chang He, Zhuo-Heng Yu, Shao-Wen
- 机构：Shanghai Univ;Shanghai Univ;Shanghai Univ;East China Univ Sci & Technol
- 来源：MATHEMATICS 2026
- 关键词：matrix decomposition equivalence canonical form sylvester matrix equations division ring quaternion algebra image encryption security analysis
- T-Eigenvalues of Third-Order Quaternion Tensors被引量：0收藏
- 作者：He, Zhuo-Heng Deng, Mei-Ling Yu, Shao-Wen
- 机构：Shanghai Univ;Shanghai Univ;East China Univ Sci & Technol
- 来源：MATHEMATICS 2025
- 关键词：Hermitian quaternion tensor T-eigenvalue
Ger & scaron gorin theorem
