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1,687 results on '"Wang, Hongxing"'

1. Dual minus partial order

Author

Gao, Ju, Wang, Hongxing, and Liu, Xiaoji

Subjects
Mathematics - Rings and Algebras, 15A09, 15A24, 62G30
Abstract

In this paper, we introduce the Dual-minus partial order, get some characterizations of the partial order, and prove that both the dual star partial order and the dual sharp partial order are Dual-minus-type partial orders. Based on the Dual-minus partial order, we introduce the Dual-minus sharp partial order and the Dual-minus star partial order, which are also Dual-minus-type partial orders. In addition, we discuss relationships among the Dual-minus sharp partial order, the D-sharp partial order and the G-sharp partial order(the Dual-minus star partial order, the D-star partial order and the P-star partial order)., Comment: 23 pages

Published
2024

3. Correction: A Randomized, Double-Blind, Positive-Controlled, Multicenter Clinical Trial on the Efficacy and Safety of ShuganJieyu Capsule and St. John’s Wort for Major Depressive Disorder with Somatic Complaints

Author

Xiang, Yajie, Wang, Lihua, Gu, Ping, Wang, Chunxue, Tian, Yuling, Shi, Wanying, Deng, Fang, Zhang, Yongbo, Gao, Li, Wang, Kai, Wang, Yi, He, Jincai, Zhao, Wenfeng, Bi, Xiaoying, Hu, Jian, Zhong, Lianmei, Guo, Yi, Zhou, Xinyu, Wang, Hongxing, and Xie, Peng

Published
2024
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7. Semantic Transition Detection for Self-supervised Video Scene Segmentation

Author

Chen, Lu, Tan, Jiawei, Yang, Pingan, Wang, Hongxing, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Rudinac, Stevan, editor, Hanjalic, Alan, editor, Liem, Cynthia, editor, Worring, Marcel, editor, Jónsson, Björn Þór, editor, Liu, Bei, editor, and Yamakata, Yoko, editor

Published
2024
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14. Characterizations and properties of dual matrix star orders

Author

Wang, Hongxing and Huang, Pei

Subjects
Mathematics - Rings and Algebras, 15A09, 06A06
Abstract

In this paper, we introduce D-star order, T-star order and P-star order on the class of dual matrices. By applying matrix decomposition and dual generalized inverses, we discuss properties, characterizations and relations among these orders, and illustrate their relations with examples., Comment: 29 pages

Published
2022

15. A Randomized, Double-Blind, Positive-Controlled, Multicenter Clinical Trial on the Efficacy and Safety of ShuganJieyu Capsule and St. John’s Wort for Major Depressive Disorder with Somatic Complaints

Author

Xiang, Yajie, Wang, Lihua, Gu, Ping, Wang, Chunxue, Tian, Yuling, Shi, Wanying, Deng, Fang, Zhang, Yongbo, Gao, Li, Wang, Kai, Wang, Yi, He, Jincai, Zhao, Wenfeng, Bi, Xiaoying, Hu, Jian, Zhong, Lianmei, Guo, Yi, Zhou, Xinyu, Wang, Hongxing, and Xie, Peng

Published
2023
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16. Evidence of a large current of transcranial alternating current stimulation directly to deep brain regions

Author

Shan, Yongzhi, Wang, Hongxing, Yang, Yanfeng, Wang, Jiahao, Zhao, Wenfeng, Huang, Yuda, Wang, Huang, Han, Bing, Pan, Na, Jin, Xiukun, Fan, Xiaotong, Liu, Yunyun, Wang, Jun, Wang, Changming, Zhang, Huaqiang, Chen, Sichang, Liu, Ting, Yan, Tianyi, Si, Tianmei, Yin, Lu, Li, Xinmin, Cosci, Fiammetta, Zhang, Xiangyang, Zhang, Guanghao, Gao, Keming, and Zhao, Guoguang

Published
2023
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20. The perturbation of Drazin inverse and dual Drazin inverse

Author

Wang Hongxing, Cui Chong, and Wei Yimin

Subjects
dual matrix, drazin inverse, dual drazin generalized inverse, core-nilpotent decomposition, 15a10, 15a60, 15a66, 15b33, Mathematics, QA1-939
Abstract

In this study, we derive the Drazin inverse (A+εB)D{\left(A+\varepsilon B)}^{D} of the complex matrix A+εBA+\varepsilon B with Ind(A+εB)>1{\rm{Ind}}\left(A+\varepsilon B)\gt 1 and Ind(A)=k{\rm{Ind}}\left(A)=k and the group inverse (A+εB)#{\left(A+\varepsilon B)}^{\#} of the complex matrix A+εBA+\varepsilon B with Ind(A+εB)=1{\rm{Ind}}\left(A+\varepsilon B)=1 and Ind(A)=k{\rm{Ind}}\left(A)=k when εB\varepsilon B is viewed as the perturbation of AA. If the dual Drazin inverse (DDGI) A^DDGI{\widehat{A}}^{{\rm{DDGI}}} of A^\widehat{A} is considered as a notation. We calculate (A+εB)D−A^DDGI{\left(A+\varepsilon B)}^{D}-{\widehat{A}}^{{\rm{DDGI}}} and (A+εB)#−A^DDGI{\left(A+\varepsilon B)}^{\#}-{\widehat{A}}^{{\rm{DDGI}}} and obtain ‖(A+εB)D−A^DDGI‖P∈O(ε2)\Vert {\left(A+\varepsilon B)}^{D}-{\widehat{A}}^{{\rm{DDGI}}}{\Vert }_{P}\in {\mathcal{O}}\left({\varepsilon }^{2}) and ‖(A+εB)#−A^DDGI‖P∈O(ε2)\Vert {\left(A+\varepsilon B)}^{\#}-{\widehat{A}}^{{\rm{DDGI}}}{\Vert }_{P}\in {\mathcal{O}}\left({\varepsilon }^{2}). Meanwhile, we give some examples to verify these conclusions.

Published
2024
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21. The Dual Index and Dual Core Generalized Inverse

Author

Wang, Hongxing and Gao, Ju

Subjects
Mathematics - Rings and Algebras, 15A09, 65F05
Abstract

In this paper, we introduce the dual index and dual core generalized inverse (DCGI). By applying rank equation, generalized inverse and matrix decomposition, we give several characterizations of the dual index when it is equal to one. And we get that if DCGI exists, then it is unique. We derive a compact formula for DCGI and a series of equivalent characterizations of the existence of the inverse. It is worth nothing that the dual index of $\hat{M}$ is equal to one if and only if its DCGI exists. When the dual index of $\hat{M}$ is equal to one, we study dual Moore-Penrose generalized inverse (DMPGI) and dual group generalized inverse (DGGI), and consider the relationships among DCGI, DMPGI, DGGI, Moore-Penrose dual generalized inverse (MPDGI) and other dual generalized inverses. In addition, we consider symmetric dual matrix and its dual generalized inverses. At last, two examples are given to illustrate the application of DCGI in linear dual equations.

Published
2022

22. Dual $r$-Rank Decomposition and Its Applications

Author

Wang, Hongxing, Cui, Chong, and Liu, Xiaoji

Subjects
Mathematics - Rings and Algebras, 15A09
Abstract

In this paper, we introduce the dual $r$-rank decomposition of dual matrix, get its existence condition and equivalent form of the decomposition, as well as derive some characterizations of dual Moore-Penrose generalized inverse(DMPGI). Based on DMPGI, we introduce one special dual matrix(dual EP matrix). By applying the dual $r$-rank decomposition we derive several characterizations of dual EP matrix, dual idempotent matrix, dual generalized inverses, and the relationships among dual Penrose equations.

Published
2022

24. Chinese hospital staff in anxiety and depression: Not only comfort patients but also should be comforted - A nationwide cross-sectional study

Author

Mei, Qi, Li, Wanling, Feng, Huijing, Zhang, Junyan, Li, Jian, Yin, Junping, Lukacs-Kornek, Veronika, Kurts, Christian, Dai, Shujuan, Zhao, Xiaoxiao, Ai, Qinglong, Yu, Chunlei, Xu, Fan, Xi, Xiaoting, Liu, Fang, Song, DaoYuan, Wang, Yaochang, Zhong, Lianmei, Ashford, John. Wesson, Ashford, Curtis, Liu, Xiaolei, and Wang, Hongxing

Published
2024
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41. Cascade Sampling via Dual Uncertainty for Active Entity Alignment

Author

Xie, Jiye, Li, Jiaxin, Tan, Jiawei, Wang, Hongxing, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Jin, Zhi, editor, Jiang, Yuncheng, editor, Buchmann, Robert Andrei, editor, Bi, Yaxin, editor, Ghiran, Ana-Maria, editor, and Ma, Wenjun, editor

Published
2023
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43. The dual index and dual core generalized inverse

Author

Wang Hongxing and Gao Ju

Subjects
dual core generalized inverse, dual index, dual moore-penrose generalized inverse, dual group generalized inverse, moore-penrose dual generalized inverse, dual analog of least-squares solutions, 15a09, 15a66, 65f05, Mathematics, QA1-939
Abstract

In this article, we introduce the dual index and dual core generalized inverse (DCGI). By applying rank equation, generalized inverse, and matrix decomposition, we give several characterizations of the dual index when it is equal to 1. We realize that if DCGI exists, then it is unique. We derive a compact formula for DCGI and a series of equivalent characterizations of the existence of the inverse. It is worth noting that the dual index of A^\widehat{A} is equal to 1 if and only if its DCGI exists. When the dual index of A^\widehat{A} is equal to 1, we study dual Moore-Penrose generalized inverse (DMPGI) and dual group generalized inverse (DGGI) and consider the relationships among DCGI, DMPGI, DGGI, Moore-Penrose dual generalized inverse, and other dual generalized inverses. In addition, we consider symmetric dual matrix and its dual generalized inverses. Finally, two examples are given to illustrate the application of DCGI in linear dual equations.

Published
2023
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