Ding, Wenxv; Liu, Zhihong; Li, Ying; Wei, Anli; Zhang, Mingcui New structure-preserving algorithms of Gauss-Seidel and successive over-relaxation iteration methods for quaternion linear systems. (English) Zbl 07807003 Numer. Algorithms 95, No. 3, 1309-1323 (2024). MSC: 65F10 11R52 15A09 15A24 15B33 PDFBibTeX XMLCite \textit{W. Ding} et al., Numer. Algorithms 95, No. 3, 1309--1323 (2024; Zbl 07807003) Full Text: DOI
Hu, Jingjing; Ke, Yifen; Ma, Changfeng Efficient iterative method for generalized Sylvester quaternion tensor equation. (English) Zbl 07714795 Comput. Appl. Math. 42, No. 5, Paper No. 237, 26 p. (2023). MSC: 65F45 15A69 PDFBibTeX XMLCite \textit{J. Hu} et al., Comput. Appl. Math. 42, No. 5, Paper No. 237, 26 p. (2023; Zbl 07714795) Full Text: DOI
Fan, Xueling; Li, Ying; Sun, Jianhua; Zhao, Jianli Solving quaternion linear system \(AXB=E\) based on semi-tensor product of quaternion matrices. (English) Zbl 1507.15002 Banach J. Math. Anal. 17, No. 2, Paper No. 25, 20 p. (2023). MSC: 15A06 65F05 PDFBibTeX XMLCite \textit{X. Fan} et al., Banach J. Math. Anal. 17, No. 2, Paper No. 25, 20 p. (2023; Zbl 1507.15002) Full Text: DOI
Ding, Wenxv; Li, Ying; Wei, Anli Real representation for solving reduced biquaternion matrix equations \(XF - AX = BY\) and \(XF- A\widetilde{X} = BY\). (English) Zbl 07812732 Math. Methods Appl. Sci. 45, No. 17, 10532-10542 (2022). MSC: 11R52 15B33 65F05 65H10 PDFBibTeX XMLCite \textit{W. Ding} et al., Math. Methods Appl. Sci. 45, No. 17, 10532--10542 (2022; Zbl 07812732) Full Text: DOI
Zhang, Fengxia; Wei, Musheng; Li, Ying; Zhao, Jianli An efficient real representation method for least squares problem of the quaternion constrained matrix equation \(AXB + CY D = E\). (English) Zbl 1484.65080 Int. J. Comput. Math. 98, No. 7, 1408-1419 (2021). MSC: 65F45 15A24 15B33 PDFBibTeX XMLCite \textit{F. Zhang} et al., Int. J. Comput. Math. 98, No. 7, 1408--1419 (2021; Zbl 1484.65080) Full Text: DOI
Ling, Si-Tao; Jia, Zhi-Gang; Lu, Xin; Yang, Bing Matrix LSQR algorithm for structured solutions to quaternionic least squares problem. (English) Zbl 1442.65102 Comput. Math. Appl. 77, No. 3, 830-845 (2019). MSC: 65K05 90C20 15A24 15B57 PDFBibTeX XMLCite \textit{S.-T. Ling} et al., Comput. Math. Appl. 77, No. 3, 830--845 (2019; Zbl 1442.65102) Full Text: DOI
Yuan, Shi-Fang; Wang, Qing-Wen L-structured quaternion matrices and quaternion linear matrix equations. (English) Zbl 1334.65075 Linear Multilinear Algebra 64, No. 2, 321-339 (2016). MSC: 65F30 65F10 15A24 15B33 PDFBibTeX XMLCite \textit{S.-F. Yuan} and \textit{Q.-W. Wang}, Linear Multilinear Algebra 64, No. 2, 321--339 (2016; Zbl 1334.65075) Full Text: DOI
Ke, Yi-Fen; Ma, Chang-Feng Alternating direction method for generalized Sylvester matrix equation \(AXB + CYD = E\). (English) Zbl 1410.65123 Appl. Math. Comput. 260, 106-125 (2015). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{Y.-F. Ke} and \textit{C.-F. Ma}, Appl. Math. Comput. 260, 106--125 (2015; Zbl 1410.65123) Full Text: DOI
Yuan, Shi-Fang; Liao, An-Ping; Wang, Peng Least squares {\(\eta\)}-bi-Hermitian problems of the quaternion matrix equation \((AXB,CXD) = (E,F)\). (English) Zbl 1328.65103 Linear Multilinear Algebra 63, No. 9, 1849-1863 (2015). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65F30 15B33 65F20 15A24 PDFBibTeX XMLCite \textit{S.-F. Yuan} et al., Linear Multilinear Algebra 63, No. 9, 1849--1863 (2015; Zbl 1328.65103) Full Text: DOI
Hajarian, Masoud Developing CGNE algorithm for the periodic discrete-time generalized coupled Sylvester matrix equations. (English) Zbl 1321.65066 Comput. Appl. Math. 34, No. 2, 755-771 (2015). MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{M. Hajarian}, Comput. Appl. Math. 34, No. 2, 755--771 (2015; Zbl 1321.65066) Full Text: DOI
Zhang, Yu-Ping; Dong, Chang-Zhou The \(^*\) congruence class of the solutions to a system of matrix equations. (English) Zbl 1442.15027 J. Appl. Math. 2014, Article ID 703529, 7 p. (2014). MSC: 15A24 65F45 PDFBibTeX XMLCite \textit{Y.-P. Zhang} and \textit{C.-Z. Dong}, J. Appl. Math. 2014, Article ID 703529, 7 p. (2014; Zbl 1442.15027) Full Text: DOI
Yao, Yirong The optimization on ranks and inertias of a quadratic Hermitian matrix function and its applications. (English) Zbl 1266.65108 J. Appl. Math. 2013, Article ID 961568, 6 p. (2013). MSC: 65K10 65F99 PDFBibTeX XMLCite \textit{Y. Yao}, J. Appl. Math. 2013, Article ID 961568, 6 p. (2013; Zbl 1266.65108) Full Text: DOI
Wang, Qing-Wen; Yu, Juan Constrained solutions of a system of matrix equations. (English) Zbl 1268.15015 J. Appl. Math. 2012, Article ID 471573, 19 p. (2012). MSC: 15A24 65F30 15B10 15B57 PDFBibTeX XMLCite \textit{Q.-W. Wang} and \textit{J. Yu}, J. Appl. Math. 2012, Article ID 471573, 19 p. (2012; Zbl 1268.15015) Full Text: DOI
Dong, Chang-Zhou; Wang, Qing-Wen; Zhang, Yu-Ping On the Hermitian \(R\)-conjugate solution of a system of matrix equations. (English) Zbl 1268.15008 J. Appl. Math. 2012, Article ID 398085, 14 p. (2012). MSC: 15A24 65F30 PDFBibTeX XMLCite \textit{C.-Z. Dong} et al., J. Appl. Math. 2012, Article ID 398085, 14 p. (2012; Zbl 1268.15008) Full Text: DOI