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
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
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
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
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
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 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
Stewart, Michael Rank decisions in matrix quotient decompositions. (English) Zbl 1387.65036 SIAM J. Matrix Anal. Appl. 37, No. 4, 1729-1746 (2016). MSC: 65F15 15A23 PDFBibTeX XMLCite \textit{M. Stewart}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1729--1746 (2016; Zbl 1387.65036) Full Text: DOI
He, Zhuo-Heng; Agudelo, Oscar Mauricio; Wang, Qing-Wen; De Moor, Bart Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices. (English) Zbl 1332.15006 Linear Algebra Appl. 496, 549-593 (2016). MSC: 15A03 15A21 15A23 15A24 PDFBibTeX XMLCite \textit{Z.-H. He} et al., Linear Algebra Appl. 496, 549--593 (2016; Zbl 1332.15006) Full Text: DOI
van Barel, Marc; Vanberghen, Yvette; van Dooren, Paul Using semiseparable matrices to compute the SVD of a general matrix product/quotient. (English) Zbl 1196.65078 J. Comput. Appl. Math. 234, No. 11, 3175-3180 (2010). MSC: 65F20 PDFBibTeX XMLCite \textit{M. van Barel} et al., J. Comput. Appl. Math. 234, No. 11, 3175--3180 (2010; Zbl 1196.65078) Full Text: DOI
De Moor, Bart; Marchal, Kathleen; Mathys, Janick; Moreau, Yves Bioinformatics: organisms from Venus, technology from Jupiter, algorithms from Mars. (English) Zbl 1293.93686 Eur. J. Control 9, No. 2-3, 237-278 (2003). MSC: 93E03 92B05 62H30 PDFBibTeX XMLCite \textit{B. De Moor} et al., Eur. J. Control 9, No. 2--3, 237--278 (2003; Zbl 1293.93686) Full Text: DOI Link
Chu, Delin; De Moor, Bart On the nonuniqueness of the factorization factors in the product singular value decomposition. (English) Zbl 0970.65034 Linear Algebra Appl. 314, No. 1-3, 191-203 (2000). Reviewer: Axel Ruhe (Göteborg) MSC: 65F20 65F15 PDFBibTeX XMLCite \textit{D. Chu} and \textit{B. De Moor}, Linear Algebra Appl. 314, No. 1--3, 191--203 (2000; Zbl 0970.65034) Full Text: DOI
Chu, Delin; De Moor, Bart On a variational formulation of the QSVD and the RSVD. (English) Zbl 0970.65037 Linear Algebra Appl. 311, No. 1-3, 61-78 (2000). Reviewer: O.Vaarmann (Tallinn) MSC: 65F20 65F15 15A18 PDFBibTeX XMLCite \textit{D. Chu} and \textit{B. De Moor}, Linear Algebra Appl. 311, No. 1--3, 61--78 (2000; Zbl 0970.65037) Full Text: DOI
Longhi, Sauro; Zulli, Romolo Robust eigenvalue assignment by periodic feedback. (English) Zbl 0860.93010 Kybernetika 31, No. 6, 637-648 (1995). Reviewer: S.Sridhar (Sharjah) MSC: 93B55 93C55 93B35 PDFBibTeX XMLCite \textit{S. Longhi} and \textit{R. Zulli}, Kybernetika 31, No. 6, 637--648 (1995; Zbl 0860.93010) Full Text: EuDML Link
De Moor, Bart L. R. On the structure and geometry of the product singular value decomposition. (English) Zbl 0754.15005 Linear Algebra Appl. 168, 95-136 (1992). Reviewer: E.Kreyszig (Ottawa) MSC: 15A18 PDFBibTeX XMLCite \textit{B. L. R. De Moor}, Linear Algebra Appl. 168, 95--136 (1992; Zbl 0754.15005) Full Text: DOI