Výsledky vyhľadávania - Complex structure-preserving algorithm

Dual complex structure-preserving algorithm of dual quaternion singular value decomposition and its applications: Dual complex structure-preserving Autor 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…”
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A complex structure-preserving algorithm for computing the singular value decomposition of a quaternion matrix and its applications Autor 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…”
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A complex structure-preserving algorithm for the full rank decomposition of quaternion matrices and its applications Autor 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…”
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Dual quaternion QR decompositon and its corresponding complex structure-preserving algorithms Autor 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…”
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Dual complex structure-preserving algorithm of dual quaternion singular value decomposition and its applications Autor Ding, Wenxv, Li, Ying

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A complex structure-preserving algorithm for split quaternion matrix LDU decomposition in split quaternion mechanics Autor 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…”
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A blind color watermarking technique based on quaternion complex structure-preserving Qr decomposition Autor 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…”
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Real Fast Structure-Preserving Algorithm for Eigenproblem of Complex Hermitian Matrices Autor 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…”
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A new structure-preserving algorithm based on the semi-tensor product of matrices for split quaternion matrix LDU decomposition and its applications Autor 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…”
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Novel Structure‐Preserving Method for the Dual Quaternion LU Decomposition and Its Applications Autor 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…”
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TWO ALGEBRAIC ALGORITHMS FOR THE LU DECOMPOSITION OF COMMUTATIVE QUATERNION MATRICES AND THEIR APPLICATIONS Autor 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…”
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A New Complex Structure-Preserving Method for QSVD Autor 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…”
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A Fast Structure-Preserving Method for Dual Quaternion Singular Value Decomposition Autor 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…”
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Structure‐preserving modelling of elastic waves: a symplectic discrete singular convolution differentiator method Autor 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…”
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Numerical studies on structure-preserving algorithms for surface acoustic wave simulations Autor 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…”
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A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations Autor 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…”
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Community detection in multiplex networks by deep structure-preserving non-negative matrix factorization Autor 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…”
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Complex structure-preserving method for Schrödinger equations in quaternionic quantum mechanics Autor Guo, Zhenwei, Jiang, Tongsong, Vasil’ev, V. I., Wang, Gang

“… Schrödinger equation problem, and proposes a novel algebraic method (complex structure-preserving method…”
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Structure-preserving Galerkin POD reduced-order modeling of Hamiltonian systems Autor 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…”
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Community detection in multiplex networks by deep structure-preserving non-negative matrix factorization: Community detection in multiplex networks by deep Autor 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…”
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