Search Results - Complex structure-preserving algorithm

Dual complex structure-preserving algorithm of dual quaternion singular value decomposition and its applications: Dual complex structure-preserving by Ding, Wenxv, Li, Ying

“…Innovative dual complex structure-preserving algorithms are introduced to develop efficient and resilient algorithms for singular value decomposition of dual quaternion matrices…”
Get full text

A complex structure-preserving algorithm for computing the singular value decomposition of a quaternion matrix and its applications by Zhang, Dong, Jiang, Tongsong, Jiang, Chuan, Wang, Gang

“… This paper, by means of a complex representation of a quaternion matrix, studies the algorithm for the singular value decomposition of a quaternion matrix, and derives a complex structure-preserving…”
Get full text

A complex structure-preserving algorithm for the full rank decomposition of quaternion matrices and its applications by Wang, Gang, Zhang, Dong, Vasiliev, Vasily. I., Jiang, Tongsong

“…In this paper, based on the Gauss transformation of a quaternion matrix, we study the full rank decomposition of a quaternion matrix, and obtain a direct algorithm and complex structure-preserving…”
Get full text

Dual quaternion QR decompositon and its corresponding complex structure-preserving algorithms by Sun, Jianhua, Li, Ying, Liu, Xiaochen, Zhang, Mingcui

“…) of matrices, and the complex structure-preserving algorithm of the DQQRD is proposed. In order to improve the accuracy of the decomposition, a method of column pivoting is given…”
Get full text

Dual complex structure-preserving algorithm of dual quaternion singular value decomposition and its applications by Ding, Wenxv, Li, Ying

Get full text

A complex structure-preserving algorithm for split quaternion matrix LDU decomposition in split quaternion mechanics by Wang, Gang, Jiang, Tongsong, Guo, Zhenwei, Zhang, Dong

“… This paper, by means of a complex representation of split quaternion matrices, introduces Gaussian elimination of split quaternion matrices, and obtains a complex structure-preserving algorithm…”
Get full text

A blind color watermarking technique based on quaternion complex structure-preserving Qr decomposition by Guo, Zhenwei

“… This paper proposes a complex structure-preserving algorithm for solving the QR decomposition of quaternion matrices, which has better computational efficiency compared with previous methods…”
Get full text

Real Fast Structure-Preserving Algorithm for Eigenproblem of Complex Hermitian Matrices by Lai, Jiangzhou, Lu, Linzhang

“… In the paper, using real operations instead of complex, a real fast structure-preserving algorithm for eigenproblem of complex Hermitian matrices is given…”
Get full text

A new structure-preserving algorithm based on the semi-tensor product of matrices for split quaternion matrix LDU decomposition and its applications by Wei, Anli, Li, Ying, Ding, Wenxv, Zhao, Jianli

“… The algorithm is more stable and efficient than the complex structure-preserving algorithm proposed in Wang et al. (2021…”
Get full text

Novel Structure‐Preserving Method for the Dual Quaternion LU Decomposition and Its Applications by Ding, Wenxv, Zhao, Jingxi, Li, Ying, Wei, Musheng

“… We develop a structure‐preserving algorithm for dual quaternion matrix LU decomposition (DQLUD). Theoretically, we rely on the dual matrix representation of dual…”
Get full text

TWO ALGEBRAIC ALGORITHMS FOR THE LU DECOMPOSITION OF COMMUTATIVE QUATERNION MATRICES AND THEIR APPLICATIONS by Zhang, Dong

“… The first of them is an algebraic algorithm based on a complex representation matrix, and the second is a complex structure-preserving algorithm based on Gaussian elimination of commutative quaternion matrices…”
Get full text

A New Complex Structure-Preserving Method for QSVD by Yu, Cui-E, Liu, Xin, Zhang, Yang

“…In this paper, we propose a new structure-preserving algorithm for computing the singular value decomposition of a quaternion matrix…”
Get full text

A Fast Structure-Preserving Method for Dual Quaternion Singular Value Decomposition by Ding, Wenxv, Li, Ying, Wei, Musheng

“…In this paper, we establish a novel dual matrix representation for dual quaternion matrices, which forms the foundation for a fast and innovative dual structure-preserving algorithm for dual…”
Get full text

Structure‐preserving modelling of elastic waves: a symplectic discrete singular convolution differentiator method by Li, Xiaofan, Wang, Wenshuai, Lu, Mingwen, Zhang, Meigen, Li, Yiqiong

“… Theoretically, the approach presented is a structure‐preserving algorithm. Also, some numerical experiments are shown in this paper…”
Get full text

Numerical studies on structure-preserving algorithms for surface acoustic wave simulations by Huang, Tsung-Ming, Li, Tiexiang, Lin, Wen-Wei, Wu, Chin-Tien

“… In this paper, we outline four recently developed structure-preserving algorithms, SA, SDA, TSHIRA and GTSHIRA, for solving the TPQEP…”
Get full text

A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations by Yin, Baoli, Wang, Jinfeng, Liu, Yang, Li, Hong

“…We aim at analyzing a novel structure preserving difference scheme for the high dimensional nonlinear space-fractional Schrödinger equation…”
Get full text

Community detection in multiplex networks by deep structure-preserving non-negative matrix factorization by Zhou, Qinli, Zhu, Wenjie, Chen, Hao, Peng, Bo

“… However, directly obtaining consensus community assignments using the traditional NMF algorithm poses a challenge due to the presence of complex structures spanning across different layers in the multiplex network…”
Get full text

Complex structure-preserving method for Schrödinger equations in quaternionic quantum mechanics by Guo, Zhenwei, Jiang, Tongsong, Vasil’ev, V. I., Wang, Gang

“… Schrödinger equation problem, and proposes a novel algebraic method (complex structure-preserving method…”
Get full text

Structure-preserving Galerkin POD reduced-order modeling of Hamiltonian systems by Gong, Yuezheng, Wang, Qi, Wang, Zhu

“…The proper orthogonal decomposition reduced-order model (POD-ROM) has been widely used as a computationally efficient surrogate model in large-scale numerical simulations of complex systems…”
Get full text

Community detection in multiplex networks by deep structure-preserving non-negative matrix factorization: Community detection in multiplex networks by deep by Zhou, Qinli, Zhu, Wenjie, Chen, Hao, Peng, Bo

“… However, directly obtaining consensus community assignments using the traditional NMF algorithm poses a challenge due to the presence of complex structures spanning across different layers in the multiplex network…”
Get full text