Liu, Long-Sheng; Zhang, Shuo A coupled quaternion matrix equations with applications. (English) Zbl 1525.15011 J. Appl. Math. Comput. 69, No. 5, 4069-4089 (2023). MSC: 15A24 15A23 PDFBibTeX XMLCite \textit{L.-S. Liu} and \textit{S. Zhang}, J. Appl. Math. Comput. 69, No. 5, 4069--4089 (2023; Zbl 1525.15011) Full Text: DOI
Liu, Long-Sheng The general solution to a system of linear coupled quaternion matrix equations with an application. (English) Zbl 1521.15015 Adv. Appl. Clifford Algebr. 33, No. 4, Paper No. 48, 22 p. (2023). MSC: 15A24 15A23 15A66 PDFBibTeX XMLCite \textit{L.-S. Liu}, Adv. Appl. Clifford Algebr. 33, No. 4, Paper No. 48, 22 p. (2023; Zbl 1521.15015) Full Text: DOI
Şimşek, Sinem Least-squares solutions of generalized Sylvester-type quaternion matrix equations. (English) Zbl 1515.15015 Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 28, 23 p. (2023). MSC: 15A24 15A09 15B33 15B57 94A08 PDFBibTeX XMLCite \textit{S. Şimşek}, Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 28, 23 p. (2023; Zbl 1515.15015) Full Text: DOI
Xie, Meng Yan; Wang, Qing Wen; He, Zhuo Heng; Saad, Mehany Mahmoud A system of Sylvester-type quaternion matrix equations with ten variables. (English) Zbl 1497.15020 Acta Math. Sin., Engl. Ser. 38, No. 8, 1399-1420 (2022). MSC: 15A24 15A09 15A03 15B33 PDFBibTeX XMLCite \textit{M. Y. Xie} et al., Acta Math. Sin., Engl. Ser. 38, No. 8, 1399--1420 (2022; Zbl 1497.15020) Full Text: DOI
Babolian, E.; Golpar-Raboky, E. On the WZ factorization of the real and integer matrices. (English) Zbl 1491.15007 Iran. J. Math. Sci. Inform. 17, No. 1, 71-83 (2022). MSC: 15A06 15A23 15B36 65F05 PDFBibTeX XMLCite \textit{E. Babolian} and \textit{E. Golpar-Raboky}, Iran. J. Math. Sci. Inform. 17, No. 1, 71--83 (2022; Zbl 1491.15007) Full Text: Link
He, Zhuo-Heng; Navasca, Carmeliza; Wang, Xiang-Xiang Decomposition for a quaternion tensor triplet with applications. (English) Zbl 1481.15027 Adv. Appl. Clifford Algebr. 32, No. 1, Paper No. 9, 19 p. (2022). MSC: 15A69 11R52 15A18 PDFBibTeX XMLCite \textit{Z.-H. He} et al., Adv. Appl. Clifford Algebr. 32, No. 1, Paper No. 9, 19 p. (2022; Zbl 1481.15027) Full Text: DOI
Zhang, Huiting; Zhang, Hairui; Liu, Lina; Yuan, Yongxin A simple method for solving matrix equations \(AXB = D\) and \(GXH = C\). (English) Zbl 1525.15012 AIMS Math. 6, No. 3, 2579-2589 (2021). MSC: 15A24 15A09 PDFBibTeX XMLCite \textit{H. Zhang} et al., AIMS Math. 6, No. 3, 2579--2589 (2021; Zbl 1525.15012) Full Text: DOI
Ostad, Javad Farokhi; Karizaki, Mahdi Mohammadzadeh; Aliakbari, Mahdi; Hosseini, Amin Solutions for the mixed Sylvester operator equations. (English) Zbl 1497.47026 Facta Univ., Ser. Math. Inf. 36, No. 4, 831-842 (2021). MSC: 47A62 47A08 15A24 46L08 PDFBibTeX XMLCite \textit{J. F. Ostad} et al., Facta Univ., Ser. Math. Inf. 36, No. 4, 831--842 (2021; Zbl 1497.47026)
He, Zhuo-Heng Some new results on a system of Sylvester-type quaternion matrix equations. (English) Zbl 1481.15015 Linear Multilinear Algebra 69, No. 16, 3069-3091 (2021). Reviewer: Ali Morassaei (Zanjan) MSC: 15A24 15A10 15B33 15B57 PDFBibTeX XMLCite \textit{Z.-H. He}, Linear Multilinear Algebra 69, No. 16, 3069--3091 (2021; Zbl 1481.15015) Full Text: DOI
He, Zhuo-Heng; Qin, Wei-Lu; Wang, Xiang-Xiang Some applications of a decomposition for five quaternion matrices in control system and color image processing. (English) Zbl 1476.68294 Comput. Appl. Math. 40, No. 6, Paper No. 205, 29 p. (2021). MSC: 68U10 15A23 15A24 15B33 93B25 PDFBibTeX XMLCite \textit{Z.-H. He} et al., Comput. Appl. Math. 40, No. 6, Paper No. 205, 29 p. (2021; Zbl 1476.68294) Full Text: DOI
Dehghan, Mehdi; Shirilord, Akbar On the Hermitian and skew-Hermitian splitting-like iteration approach for solving complex continuous-time algebraic Riccati matrix equation. (English) Zbl 1482.65065 Appl. Numer. Math. 170, 109-127 (2021). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{A. Shirilord}, Appl. Numer. Math. 170, 109--127 (2021; Zbl 1482.65065) Full Text: DOI
Yu, Shao-Wen; He, Zhuo-Heng; Qi, Tian-Cheng; Wang, Xiang-Xiang The equivalence canonical form of five quaternion matrices with applications to imaging and Sylvester-type equations. (English) Zbl 1464.15027 J. Comput. Appl. Math. 393, Article ID 113494, 20 p. (2021). MSC: 15A24 15B33 15A09 15B57 PDFBibTeX XMLCite \textit{S.-W. Yu} et al., J. Comput. Appl. Math. 393, Article ID 113494, 20 p. (2021; Zbl 1464.15027) Full Text: DOI
Kyrchei, Ivan Determinantal representations of solutions to systems of two-sided quaternion matrix equations. (English) Zbl 1468.15009 Linear Multilinear Algebra 69, No. 4, 648-672 (2021). Reviewer: Ali Morassaei (Zanjan) MSC: 15A24 15A15 15A09 15A10 15B33 PDFBibTeX XMLCite \textit{I. Kyrchei}, Linear Multilinear Algebra 69, No. 4, 648--672 (2021; Zbl 1468.15009) Full Text: DOI
Chen, Huaxi; Wang, Long; Li, Tingting A note on the solvability for generalized Sylvester equations. (English) Zbl 1460.15019 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 64, 7 p. (2021). MSC: 15A24 15A06 15A09 PDFBibTeX XMLCite \textit{H. Chen} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 64, 7 p. (2021; Zbl 1460.15019) Full Text: DOI
Wang, Qing-Wen; Wang, Xiao A system of coupled two-sided Sylvester-type tensor equations over the quaternion algebra. (English) Zbl 1462.15021 Taiwanese J. Math. 24, No. 6, 1399-1416 (2020). MSC: 15A24 15A69 15A09 PDFBibTeX XMLCite \textit{Q.-W. Wang} and \textit{X. Wang}, Taiwanese J. Math. 24, No. 6, 1399--1416 (2020; Zbl 1462.15021) Full Text: DOI Euclid
Yuan, Shi-Fang; Tian, Yong; Li, Ming-Zhao On Hermitian solutions of the reduced biquaternion matrix equation \((AXB, CXD) = (E, G)\). (English) Zbl 1464.15026 Linear Multilinear Algebra 68, No. 7, 1355-1373 (2020). MSC: 15A24 15A10 15B33 15B57 PDFBibTeX XMLCite \textit{S.-F. Yuan} et al., Linear Multilinear Algebra 68, No. 7, 1355--1373 (2020; Zbl 1464.15026) Full Text: DOI
Dehghan, Mehdi; Shirilord, Akbar Matrix multisplitting Picard-iterative method for solving generalized absolute value matrix equation. (English) Zbl 1451.65048 Appl. Numer. Math. 158, 425-438 (2020). MSC: 65F45 15A24 90C33 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{A. Shirilord}, Appl. Numer. Math. 158, 425--438 (2020; Zbl 1451.65048) Full Text: DOI
He, Zhuo-Heng; Wang, Meng; Liu, Xin On the general solutions to some systems of quaternion matrix equations. (English) Zbl 1436.15017 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 2, Paper No. 95, 22 p. (2020). MSC: 15A24 15A09 15B33 15B57 PDFBibTeX XMLCite \textit{Z.-H. He} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 2, Paper No. 95, 22 p. (2020; Zbl 1436.15017) Full Text: DOI
Yuan, Shi-Fang; Li, Ming-Zhao; Tian, Yong Numerical algorithms for solving the least squares symmetric problem of matrix equation \(AXB + CXD = E\). (English) Zbl 1513.65124 Filomat 33, No. 6, 1649-1658 (2019). MSC: 65F45 15A24 65F20 PDFBibTeX XMLCite \textit{S.-F. Yuan} et al., Filomat 33, No. 6, 1649--1658 (2019; Zbl 1513.65124) Full Text: DOI
Lv, Lingling; Zhang, Zhe A numerical approach to generalized periodic Sylvester matrix equation. (English) Zbl 1433.65079 Asian J. Control 21, No. 5, 2468-2475 (2019). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{L. Lv} and \textit{Z. Zhang}, Asian J. Control 21, No. 5, 2468--2475 (2019; Zbl 1433.65079) Full Text: DOI
He, Zhuo-Heng The general solution to a system of coupled Sylvester-type quaternion tensor equations involving \(\eta\)-Hermicity. (English) Zbl 1423.15016 Bull. Iran. Math. Soc. 45, No. 5, 1407-1430 (2019). MSC: 15A24 15A09 15A69 PDFBibTeX XMLCite \textit{Z.-H. He}, Bull. Iran. Math. Soc. 45, No. 5, 1407--1430 (2019; Zbl 1423.15016) Full Text: DOI
Dehghan, Mehdi; Shirilord, Akbar The double-step scale splitting method for solving complex Sylvester matrix equation. (English) Zbl 1463.65089 Comput. Appl. Math. 38, No. 3, Paper No. 146, 22 p. (2019). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{A. Shirilord}, Comput. Appl. Math. 38, No. 3, Paper No. 146, 22 p. (2019; Zbl 1463.65089) Full Text: DOI
He, Zhuo-Heng Pure PSVD approach to Sylvester-type quaternion matrix equations. (English) Zbl 1418.15015 Electron. J. Linear Algebra 35, 266-284 (2019). MSC: 15A24 15A03 15A21 15A23 PDFBibTeX XMLCite \textit{Z.-H. He}, Electron. J. Linear Algebra 35, 266--284 (2019; Zbl 1418.15015) Full Text: DOI
Kyrchei, Ivan Cramer’s rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations. (English) Zbl 1415.15016 Adv. Appl. Clifford Algebr. 29, No. 3, Paper No. 56, 31 p. (2019). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 15A09 15A15 15B33 PDFBibTeX XMLCite \textit{I. Kyrchei}, Adv. Appl. Clifford Algebr. 29, No. 3, Paper No. 56, 31 p. (2019; Zbl 1415.15016) Full Text: DOI
He, Zhuo-Heng A system of coupled quaternion matrix equations with seven unknowns and its applications. (English) Zbl 1414.15021 Adv. Appl. Clifford Algebr. 29, No. 3, Paper No. 38, 24 p. (2019). MSC: 15A24 15B33 15B57 PDFBibTeX XMLCite \textit{Z.-H. He}, Adv. Appl. Clifford Algebr. 29, No. 3, Paper No. 38, 24 p. (2019; Zbl 1414.15021) Full Text: DOI
Wang, Qing-Wen; He, Zhuo-Heng; Zhang, Yang Constrained two-sided coupled Sylvester-type quaternion matrix equations. (English) Zbl 1409.15009 Automatica 101, 207-213 (2019). MSC: 15A24 15B33 PDFBibTeX XMLCite \textit{Q.-W. Wang} et al., Automatica 101, 207--213 (2019; Zbl 1409.15009) Full Text: DOI
He, Zhuo-Heng Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity. (English) Zbl 1409.15017 Adv. Appl. Clifford Algebr. 29, No. 1, Paper No. 6, 31 p. (2019). Reviewer: Yansheng Wu (Nanjing) MSC: 15B33 15A23 15A24 15B48 15B57 PDFBibTeX XMLCite \textit{Z.-H. He}, Adv. Appl. Clifford Algebr. 29, No. 1, Paper No. 6, 31 p. (2019; Zbl 1409.15017) Full Text: DOI
He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang A simultaneous decomposition for seven matrices with applications. (English) Zbl 1404.15011 J. Comput. Appl. Math. 349, 93-113 (2019). MSC: 15A24 15A03 15A21 15A22 15B33 PDFBibTeX XMLCite \textit{Z.-H. He} et al., J. Comput. Appl. Math. 349, 93--113 (2019; Zbl 1404.15011) Full Text: DOI
Kyrchei, Ivan I. Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations. (English) Zbl 1487.15017 J. Math. 2018, Article ID 6294672, 12 p. (2018). MSC: 15A24 15B33 30G35 PDFBibTeX XMLCite \textit{I. I. Kyrchei}, J. Math. 2018, Article ID 6294672, 12 p. (2018; Zbl 1487.15017) Full Text: DOI
Kyrchei, Ivan Cramer’s rules for Sylvester quaternion matrix equation and its special cases. (English) Zbl 1404.15013 Adv. Appl. Clifford Algebr. 28, No. 5, Paper No. 90, 26 p. (2018). Reviewer: John D. Dixon (Ottawa) MSC: 15A24 15A09 15A15 15B33 PDFBibTeX XMLCite \textit{I. Kyrchei}, Adv. Appl. Clifford Algebr. 28, No. 5, Paper No. 90, 26 p. (2018; Zbl 1404.15013) Full Text: DOI
Zhou, Bin Solutions to linear bimatrix equations with applications to pole assignment of complex-valued linear systems. (English) Zbl 1398.93133 J. Franklin Inst. 355, No. 15, 7246-7280 (2018). MSC: 93C05 93B52 93B55 93D05 15A24 93B40 PDFBibTeX XMLCite \textit{B. Zhou}, J. Franklin Inst. 355, No. 15, 7246--7280 (2018; Zbl 1398.93133) Full Text: DOI arXiv
Wang, Qing-Wen; Yang, Xiao-Xiao; Yuan, Shi-Fang The least square solution with the least norm to a system of quaternion matrix equations. (English) Zbl 1397.15011 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1317-1325 (2018). MSC: 15A24 15A06 15A09 15B33 PDFBibTeX XMLCite \textit{Q.-W. Wang} et al., Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1317--1325 (2018; Zbl 1397.15011) Full Text: DOI
He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang The complete equivalence canonical form of four matrices over an arbitrary division ring. (English) Zbl 1386.15029 Linear Multilinear Algebra 66, No. 1, 74-95 (2018). MSC: 15A21 15A24 15B33 15A03 15B57 PDFBibTeX XMLCite \textit{Z.-H. He} et al., Linear Multilinear Algebra 66, No. 1, 74--95 (2018; Zbl 1386.15029) Full Text: DOI arXiv
He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang A system of quaternary coupled Sylvester-type real quaternion matrix equations. (English) Zbl 1379.93057 Automatica 87, 25-31 (2018). MSC: 93C05 15A24 PDFBibTeX XMLCite \textit{Z.-H. He} et al., Automatica 87, 25--31 (2018; Zbl 1379.93057) Full Text: DOI
Kyrchei, Ivan Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse. (English) Zbl 1411.15025 Appl. Math. Comput. 309, 1-16 (2017). MSC: 15B33 15A23 15A09 65F15 PDFBibTeX XMLCite \textit{I. Kyrchei}, Appl. Math. Comput. 309, 1--16 (2017; Zbl 1411.15025) Full Text: DOI
He, Zhuo-Heng; Wang, Qing-Wen; Zhang, Yang Simultaneous decomposition of quaternion matrices involving \(\eta\)-Hermicity with applications. (English) Zbl 1411.15023 Appl. Math. Comput. 298, 13-35 (2017). MSC: 15B33 15A09 15A23 15A24 15B57 PDFBibTeX XMLCite \textit{Z.-H. He} et al., Appl. Math. Comput. 298, 13--35 (2017; Zbl 1411.15023) Full Text: DOI
Lv, Lingling; Zhang, Zhe Finite iterative solutions to periodic Sylvester matrix equations. (English) Zbl 1398.93365 J. Franklin Inst. 354, No. 5, 2358-2370 (2017). MSC: 93E24 15A24 65F30 PDFBibTeX XMLCite \textit{L. Lv} and \textit{Z. Zhang}, J. Franklin Inst. 354, No. 5, 2358--2370 (2017; Zbl 1398.93365) Full Text: DOI
Sheng, Xingping; Sun, Weiwei The relaxed gradient based iterative algorithm for solving matrix equations \(A_iXB_i=F_i\). (English) Zbl 1382.65093 Comput. Math. Appl. 74, No. 3, 597-604 (2017). MSC: 65F10 15A24 PDFBibTeX XMLCite \textit{X. Sheng} and \textit{W. Sun}, Comput. Math. Appl. 74, No. 3, 597--604 (2017; Zbl 1382.65093) Full Text: DOI
Nie, Xiangrong; Wang, Qingwen; Zhang, Yang A system of matrix equations over the quaternion algebra with applications. (English) Zbl 1375.15027 Algebra Colloq. 24, No. 2, 233-253 (2017). Reviewer: Chen Sheng (Harbin) MSC: 15A24 15B33 15A09 11R52 20G20 PDFBibTeX XMLCite \textit{X. Nie} et al., Algebra Colloq. 24, No. 2, 233--253 (2017; Zbl 1375.15027) Full Text: DOI
He, Zhuoheng; Wang, Qingwen A system of periodic discrete-time coupled Sylvester quaternion matrix equations. (English) Zbl 1361.15015 Algebra Colloq. 24, No. 1, 169-180 (2017). MSC: 15A24 15B33 15A09 15A03 PDFBibTeX XMLCite \textit{Z. He} and \textit{Q. Wang}, Algebra Colloq. 24, No. 1, 169--180 (2017; Zbl 1361.15015) Full Text: DOI
Sun, Xiaotao Factorization of generalized theta functions revisited. (English) Zbl 1366.14033 Algebra Colloq. 24, No. 1, 1-52 (2017). Reviewer: V. V. Chueshev (Kemerovo) MSC: 14H60 14D20 PDFBibTeX XMLCite \textit{X. Sun}, Algebra Colloq. 24, No. 1, 1--52 (2017; Zbl 1366.14033) Full Text: DOI arXiv