Zhang, Xin-Fang; Ding, Wei; Li, Tao Structure-preserving quaternion generalized conjugate residual method. (English) Zbl 07977960 Taiwanese J. Math. 29, No. 1, 21-34 (2025). MSC: 15A06 15B33 65F10 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Shaofei; Luo, Wenjuan; Yu, Hao The product of a generalized quaternion group and a cyclic group. (English) Zbl 07972306 J. Aust. Math. Soc. 118, No. 1, 31-64 (2025). Reviewer: Egle Bettio (Venezia) MSC: 20D40 20B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cornwell, Chris; Doring, Megan; Lauderdale, L.-K.; Morgan, Ethan; Storr, Nicholas On a new invariant for finite groups. (English) Zbl 07959432 J. Comb. 16, No. 1, 113-139 (2025). Reviewer: Marco Barbieri (Pavia) MSC: 05C25 05C10 05C35 20B25 × Cite Format Result Cite Review PDF Full Text: DOI
Shpakivskyi, Vitalii Vieta’s Formulas for Quaternionic Polynomials. arXiv:2501.02261 Preprint, arXiv:2501.02261 [math.CV] (2025). MSC: 30G35 11R52 × Cite Format Result Cite Full Text: arXiv OA License
Yilmaz, Çiğdem Zeynep; Saçli, Gülsüm Yeliz Investigating the dual quaternion extension of the \(\mathcal{DGC}\) Leonardo sequence. (English) Zbl 07978849 Honam Math. J. 46, No. 4, 677-696 (2024). MSC: 11B37 11B39 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
İşbilir, Zehra; Gürses, Nurten Horadam 3-parameter generalized quaternions. (English) Zbl 07978831 Honam Math. J. 46, No. 3, 407-427 (2024). MSC: 11B37 11K31 11R52 11Y55 × Cite Format Result Cite Review PDF Full Text: DOI
Heidari Zadeh, L. Superderivations and Jordan superderivations of generalized quaternion algebras. (English) Zbl 07975411 J. Mahani Math. Res. Cent. 13, No. 5, 1-9 (2024). MSC: 16H05 16W25 17A70 17B60 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Xiao-Min; Wu, Yu-Ling; Ke, Yi-Fen; Liao, Ri-Wei; Xie, Ya-Jun Krylov subspace methods based quaternion tensor form for generalized Sylvester quaternion tensor equation with application to color video restoration. (English) Zbl 07973139 J. Franklin Inst. 361, No. 17, Article ID 107248, 14 p. (2024). MSC: 65F45 65F10 15A24 15A69 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Rehman, Abdur; Kyrchei, Ivan Hermitian solution to constraint system of generalized Sylvester quaternion matrix equations. (English) Zbl 07969977 Arab. J. Math. 13, No. 3, 595-610 (2024). MSC: 15A24 15A09 15A10 65F45 × Cite Format Result Cite Review PDF Full Text: DOI
Bahri, Mawardi Generalized uncertainty principles for offset quaternion linear canonical transform. (English) Zbl 07965043 J. Anal. 32, No. 5, 2525-2538 (2024). MSC: 42B10 42A38 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Kızılateş, Can; Kibar, İsmail Yusuf On 3-parameter quaternions with higher order generalized Fibonacci numbers components. (English) Zbl 07954809 J. Anal. 32, No. 3, 1819-1832 (2024). MSC: 11B39 11R52 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Neetu; Shankar, B. R. Sum and difference sets in generalized quaternion groups. (English) Zbl 07945327 Proc. Jangjeon Math. Soc. 27, No. 4, 773-780 (2024). MSC: 11P70 11P99 11B75 × Cite Format Result Cite Review PDF Full Text: DOI
Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag The Drazin-star and star-Drazin solutions to quaternion matrix equations. (English) Zbl 07944615 Aust. J. Math. Anal. Appl. 21, No. 2, Paper No. 9, 28 p. (2024). MSC: 15A09 15B33 15A15 15A10 15A24 × Cite Format Result Cite Review PDF Full Text: Link
Si, Kai-Wen; Wang, Qing-Wen; Xie, Lv-Ming A classical system of matrix equations over the split quaternion algebra. (English) Zbl 07928677 Adv. Appl. Clifford Algebr. 34, No. 5, Paper No. 51, 34 p. (2024). MSC: 15A24 15A09 15B33 × Cite Format Result Cite Review PDF Full Text: DOI
Taia, Abdallah; Taher, Rajae Ben; El Wahbi, Bouazza On the linear recurrence of (generalized) hybrid numbers sequences and moment problems. (English) Zbl 07913029 Complex Anal. Oper. Theory 18, No. 6, Paper No. 146, 16 p. (2024). MSC: 44A60 47A57 30E05 11B39 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Altamirano-Gomez, Gerardo; Gershenson, Carlos Quaternion convolutional neural networks: current advances and future directions. (English) Zbl 1547.68679 Adv. Appl. Clifford Algebr. 34, No. 4, Paper No. 42, 63 p. (2024). MSC: 68T07 16H05 30G35 68-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aslan, Selahattin; Bekar, Murat; Yayli, Yusuf Representation of generalized circular surfaces as rigid body motions. (English) Zbl 07911201 Miskolc Math. Notes 25, No. 1, 79-91 (2024). MSC: 14J26 70E15 11R52 51N15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaomeng; Wei, Lina; Xu, Shou-Jun; Zhou, Sanming Subgroup total perfect codes in Cayley sum graphs. (English) Zbl 07900683 Des. Codes Cryptography 92, No. 9, 2599-2613 (2024). MSC: 94B25 05C69 05C20 × Cite Format Result Cite Review PDF Full Text: DOI
Sen, M. K.; Maity, S. K.; Das, Sumanta On order prime divisor graphs of finite groups. II. (English) Zbl 07900185 Southeast Asian Bull. Math. 48, No. 4, 531-551 (2024). MSC: 05C25 05C07 05C10 05C45 05C76 × Cite Format Result Cite Review PDF Full Text: Link
Ruan, Dehao; Lu, Yao Generalized exponential stability of neutral stochastic quaternion-valued neural networks with variable coefficients and infinite delay. (English) Zbl 1542.93326 Syst. Control Lett. 191, Article ID 105869, 9 p. (2024). MSC: 93D23 93E15 93B70 11R52 93C43 × Cite Format Result Cite Review PDF Full Text: DOI
Belkhiri, Radja; Guerarra, Sihem The \(\eta \)-Hermitian solutions of some quaternion matrix equations. (English) Zbl 07892369 Khayyam J. Math. 10, No. 1, 108-125 (2024). MSC: 15A24 11R52 15A09 15B57 × Cite Format Result Cite Review PDF Full Text: DOI
Ghiloni, Riccardo; Stoppato, Caterina A unified notion of regularity in one hypercomplex variable. (English) Zbl 07873694 J. Geom. Phys. 202, Article ID 105219, 13 p. (2024). Reviewer: Eckhard Hitzer (Tōkyō) MSC: 30G35 32A50 16H05 17A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Dandan; Ma, Haifeng Perturbations of group inverses of quaternion tensors under the QT-product. (English) Zbl 1542.15005 Pac. J. Optim. 20, No. 2, 337-369 (2024). MSC: 15A09 15A69 47A55 16U90 × Cite Format Result Cite Review PDF Full Text: Link
Ling, Si-Tao; Hu, Zhe-Han; Yang, Bing; Li, Yi-Ding Color linear discriminant analysis for face recognition based on quaternion model. (English) Zbl 1547.62086 Pac. J. Optim. 20, No. 2, 265-285 (2024). MSC: 62H35 15A18 62H30 68T10 × Cite Format Result Cite Review PDF Full Text: Link
Wang, Hongxing; Huang, Pei; Cui, Chong Perfect Hermitian matrix and dual quaternion Löwner partial orders. (English) Zbl 1542.15006 Pac. J. Optim. 20, No. 2, 249-263 (2024). MSC: 15A10 15A09 06A06 × Cite Format Result Cite Review PDF Full Text: Link
Kyrchei, Ivan I. Quaternion differential matrix equations with singular coefficient matrices. (English) Zbl 1545.34013 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 216, 28 p. (2024). MSC: 34A09 34A30 15B33 15A09 46S05 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Tongsong; Wang, Gang; Guo, Zhenwei; Zhang, Dong Algebraic algorithms for a class of Schrödinger equations in split quaternionic mechanics. (English) Zbl 1547.81083 Math. Methods Appl. Sci. 47, No. 7, 6205-6215 (2024). MSC: 81Q05 15A67 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaomeng; Xu, Shou-Jun On subgroup regular sets in Cayley sum graphs. (English) Zbl 1546.05075 Discrete Math. 347, No. 9, Article ID 114059, 13 p. (2024). MSC: 05C25 × Cite Format Result Cite Review PDF Full Text: DOI
He, Zhuo-Heng; Qin, Wei-Lu; Tian, Jie; Wang, Xiang-Xiang; Zhang, Yang A new Sylvester-type quaternion matrix equation model for color image data transmission. (English) Zbl 1549.15017 Comput. Appl. Math. 43, No. 4, Paper No. 227, 30 p. (2024). MSC: 15A24 68U10 65D18 65F45 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xin-Fang; Li, Tao; Ou, Yi-Gui Iterative solutions of generalized Sylvester quaternion tensor equations. (English) Zbl 1545.65185 Linear Multilinear Algebra 72, No. 8, 1259-1278 (2024). MSC: 65F45 15A24 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Chong-Quan; Wang, Qing-Wen; Dmytryshyn, Andrii; He, Zhuo-Heng Investigation of some Sylvester-type quaternion matrix equations with multiple unknowns. (English) Zbl 1549.15022 Comput. Appl. Math. 43, No. 4, Paper No. 181, 26 p. (2024). MSC: 15A24 15A09 × Cite Format Result Cite Review PDF Full Text: DOI
Ghosh, Prasenjit Generalized fusion frame in quaternionic Hilbert spaces. (English) Zbl 1546.42025 Gulf J. Math. 16, No. 1, 123-135 (2024). Reviewer: Morteza Mirzaee Azandaryani (Qom) MSC: 42C15 11R52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Renjie; Feng, Shenghao; Wei, Yimin; Yan, Hong CUR and generalized CUR decompositions of quaternion matrices and their applications. (English) Zbl 1535.65054 Numer. Funct. Anal. Optim. 45, No. 3, 234-258 (2024). MSC: 65F55 15B33 65F15 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
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 1533.65048 Numer. Algorithms 95, No. 3, 1309-1323 (2024). MSC: 65F10 15A09 15A24 15B33 × Cite Format Result Cite Review PDF Full Text: DOI
Graves, Christina; Lauderdale, L.-K. Fixing numbers of graphs with symmetric and generalized quaternion symmetry groups. (English) Zbl 1531.05121 Graphs Comb. 40, No. 1, Paper No. 14, 16 p. (2024). MSC: 05C30 05C25 05C90 68R10 05C35 × Cite Format Result Cite Review PDF Full Text: DOI
Fernandez, Arran; Güder, Cihan; Yasin, Walaa Fractional powers of the quaternionic d-bar derivative. (English) Zbl 07793257 Adv. Appl. Clifford Algebr. 34, No. 1, Paper No. 2, 25 p. (2024). MSC: 47S05 26A33 30G35 15A66 47E05 47F05 × Cite Format Result Cite Review PDF Full Text: DOI
Fasolă, Georgiana On the Chermak-Delgado measure of a finite group. (English) Zbl 1529.20035 Result. Math. 79, No. 1, Paper No. 44, 7 p. (2024). Reviewer: Egle Bettio (Venezia) MSC: 20D30 20D60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Dong; Jiang, Tongsong; Wang, Gang; Vasil’ev, V. I. On singular value decomposition and generalized inverse of a commutative quaternion matrix and applications. (English) Zbl 1545.15031 Appl. Math. Comput. 460, Article ID 128291, 12 p. (2024). MSC: 15B33 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Gang; Jiang, Tongsong; Vasil’ev, V. I.; Guo, Zhenwei On singular value decomposition for split quaternion matrices and applications in split quaternionic mechanics. (English) Zbl 1523.15017 J. Comput. Appl. Math. 436, Article ID 115447, 10 p. (2024). MSC: 15A67 15A66 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Bavuma, Yanga; Russo, Francesco G. Dynamical systems involving pseudo-fermionic operators and generalized quaternion groups. (English) Zbl 07920816 Correggi, Michele (ed.) et al., Quantum mathematics II. Contributions based on the presentations at the INdAM quantum meetings, IQM22, Milan, Italy, spring 2022. Singapore: Springer. Springer INdAM Ser. 58, 3-16 (2023). MSC: 81R05 22E10 22E70 81R30 81Q12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Fengxia; Li, Ying An efficient real structure-preserving algorithm for the quaternion weighted least squares problem with equality constraint. (English) Zbl 1544.65074 J. Appl. Math. Comput. 69, No. 6, 4287-4306 (2023). MSC: 65F99 15B33 15A09 65F20 × Cite Format Result Cite Review PDF Full Text: DOI
Keleş, Hasan Similarity and equivalence in poloid. (English) Zbl 07859983 Aligarh Bull. Math. 42, No. 2, 59-67 (2023). MSC: 03-XX 03D50 03E20 37A20 15A09 11R52 × Cite Format Result Cite Review PDF Full Text: Link
Saurabh, Shyam; Topno, Sheet Nihal Row orthogonal matrices from dihedral and quaternion groups. (English) Zbl 1536.05100 Math. Stud. 92, No. 3-4, 59-63 (2023). MSC: 05B20 × Cite Format Result Cite Review PDF
Chen, H. V.; Sin, C. S. The exhaustion numbers of the generalized quaternion groups. (English) Zbl 1535.20123 Malays. J. Math. Sci. 17, No. 2, 191-200 (2023). MSC: 20D60 11B75 05B10 × Cite Format Result Cite Review PDF Full Text: DOI
Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. Quaternion two-sided matrix equations with specific constraints. (English) Zbl 1537.15010 Moslehian, Mohammad Sal (ed.), Matrix and operator equations and applications. Cham: Springer. Math. Online First Collect., 73-138 (2023). Reviewer: Ninoslav Truhar (Osijek) MSC: 15A24 15A09 15B33 × Cite Format Result Cite Review PDF Full Text: DOI
Roulleau, Xavier Number of Kummer structures and moduli spaces of generalized Kummer surfaces. (English) Zbl 1524.14085 Math. Z. 305, No. 4, Paper No. 66, 34 p. (2023). Reviewer: Piotr Pokora (Kraków) MSC: 14J28 14K10 14G35 11G15 11R52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pogorelov, Boris A.; Pudovkina, Marina A. Classes of piecewise-quasiaffine transformations on the generalized \(2\)-group of quaternions. (English. Russian original) Zbl 1527.20031 Discrete Math. Appl. 33, No. 5, 299-316 (2023); translation from Diskretn. Mat. 34, No. 1, 103-125 (2022). Reviewer: Egle Bettio (Venezia) MSC: 20D45 20D60 × Cite Format Result Cite Review PDF Full Text: DOI
Ling, Chen; Qi, Liqun; Yan, Hong Minimax principle for eigenvalues of dual quaternion Hermitian matrices and generalized inverses of dual quaternion matrices. (English) Zbl 1526.15023 Numer. Funct. Anal. Optim. 44, No. 13, 1371-1394 (2023). MSC: 15A67 15A09 15A18 15B57 53A17 65D19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, Liqiang; Li, Jicheng The solutions of the quaternion matrix equation \(AX^\varepsilon + BX^\delta = 0\). (English) Zbl 1525.65035 Linear Algebra Appl. 678, 227-267 (2023). MSC: 65F45 15A24 15B33 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Huey Voon; Sin, Chang Seng Complete decomposition of the generalized quaternion groups. (English) Zbl 1523.20033 Open Math. 21, Article ID 20230111, 8 p. (2023). MSC: 20D60 × Cite Format Result Cite Review PDF Full Text: DOI
Moslehian, Mohammad Sal (ed.) Matrix and operator equations and applications. (English) Zbl 1533.15002 Mathematics Online First Collections. Cham: Springer (ISBN 978-3-031-25385-0/hbk; 978-3-031-25388-1/pbk; 978-3-031-25386-7/ebook). x, 765 p. (2023). MSC: 15-06 47-06 45-06 15A24 15A09 15A10 45B05 45D05 47A62 47A50 47J05 47J35 00B15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jingjing; Zhu, Song; Liu, Xiaoyang; Wen, Shiping Mittag-Leffler stability of fractional-order quaternion-valued memristive neural networks with generalized piecewise constant argument. (English) Zbl 1526.34058 Neural Netw. 162, 175-185 (2023). MSC: 34K37 34K39 34K20 92B20 46S10 34K09 × Cite Format Result Cite Review PDF Full Text: DOI
Zuo, Sisi; Ma, Haifeng The perturbation of the Moore-Penrose inverse of quaternion tensor via the QT-product. (English) Zbl 1525.15003 J. Appl. Math. Comput. 69, No. 5, 3937-3967 (2023). MSC: 15A09 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
Sajedi, Mostafa; Moghadda, Mohammad Reza R. Probability of cyclicity of chains in finite groups. (English) Zbl 1538.20074 Southeast Asian Bull. Math. 47, No. 4, 563-571 (2023). MSC: 20P05 20D60 20F05 20D30 × Cite Format Result Cite Review PDF Full Text: Link
Grau, José María; Oller-Marcén, Antonio M.; Szabo, Steve Minimal rings related to generalized quaternion rings. (English) Zbl 07737079 Int. Electron. J. Algebra 34, 88-111 (2023). Reviewer: Flávio Ulhoa Coelho (São Paulo) MSC: 16P10 16U80 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Gang; Jiang, Tongsong; Zhang, Dong; Vasil’ev, V. I. An efficient method for the split quaternion equality constrained least squares problem in split quaternionic mechanics. (English) Zbl 1549.65103 Comput. Appl. Math. 42, No. 6, Paper No. 258, 13 p. (2023). MSC: 65F20 15B33 × Cite Format Result Cite Review PDF Full Text: DOI
Kyrchei, Ivan I.; Mosić, Dijana; Stanimirović, Predrag S. W-MPCEP-N-CEPMP-solutions to quaternion matrix equations with constrains. (English) Zbl 1522.15016 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 4, Paper No. 155, 26 p. (2023). MSC: 15A24 15A09 15A15 15B33 65F45 × Cite Format Result Cite Review PDF Full Text: DOI
Tripathy, Bibhu Prasad; Patel, Bijan Kumar Common values of generalized Fibonacci and Leonardo sequences. (English) Zbl 1533.11050 J. Integer Seq. 26, No. 6, Article 23.6.2, 14 p. (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11J86 11R52 × Cite Format Result Cite Review PDF Full Text: Link
Gürses, Nurten; Şentürk, Gülsüm Yeliz; Yüce, Salim Investigating generalized quaternions with dual-generalized complex numbers. (English) Zbl 1538.11188 Math. Bohem. 148, No. 3, 329-348 (2023). MSC: 11R52 15B33 × Cite Format Result Cite Review PDF Full Text: DOI
Sajedi, Mostafa; Moghaddam, Mohammad Reza Rajabzadeh; Darabi, Hamid Probability of normality of chains in finite groups. (English) Zbl 1524.20022 J. Math. Ext. 17, No. 4, Paper No. 3, 14 p. (2023). MSC: 20D30 20D60 20P05 × Cite Format Result Cite Review PDF Full Text: DOI
Stevenson, Justin A.; Smith, Jonathan D. H. Character groups of dihedral and generalized quaternion groups. (English) Zbl 1520.20018 J. Algebra Appl. 22, No. 7, Article ID 2350141, 24 p. (2023). Reviewer: Nicholas Williams (Lancaster) MSC: 20C15 05E10 19L20 20N05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xue-Ying; Wang, Qing-Wen The \(\eta\)-(anti-)Hermitian solution to a constrained Sylvester-type generalized commutative quaternion matrix equation. (English) Zbl 1515.15013 Banach J. Math. Anal. 17, No. 3, Paper No. 40, 39 p. (2023). MSC: 15A24 15B57 15B33 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xi-Le; Wang, Qing-Wen The consistency and the general common solution to some quaternion matrix equations. (English) Zbl 1517.15008 Ann. Funct. Anal. 14, No. 3, Paper No. 53, 22 p. (2023). Reviewer: Igor Korepanov (Moskva) MSC: 15A24 15A09 15B33 15B57 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chao; Wang, Jie Global behaviour of quaternion Riccati rational difference equation. (English) Zbl 1501.39006 J. Math. Anal. Appl. 518, No. 2, Article ID 126779, 28 p. (2023). MSC: 39A30 39A22 39A20 39A10 × Cite Format Result Cite Review PDF Full Text: DOI
Tuncer, Orhan Oğulcan Generalized tubes in pseudo-Galilean 3-space: split semi-quaternionic representations and an application to magnetic flux tubes. (English) Zbl 1529.53016 Math. Methods Appl. Sci. 45, No. 3, 1468-1487 (2022). MSC: 53A35 53A17 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Hua; Yuan, Shi-Fang; Cao, Yu-Zhe Least squares Hermitian problem of a kind of quaternion tensor equation. (English) Zbl 1527.15035 Math. Methods Appl. Sci. 45, No. 15, 8948-8963 (2022). MSC: 15B33 15A24 15A69 65F45 × Cite Format Result Cite Review PDF Full Text: DOI
Marshall, T. H.; Martin, Gaven Polynomial trace identities in \(\mathrm{SL} (2, \mathbf{C})\), quaternion algebras, and two-generator Kleinian groups. (English) Zbl 1515.30115 Krantz, Steven G. (ed.), Handbook of complex analysis. Boca Raton, FL: CRC Press. 433-485 (2022). MSC: 30G35 30F40 20H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Asif, Sania; Wu, Zhixiang; Munir, Mobeen On the Lie triple derivations. (English) Zbl 1529.16037 Linear Multilinear Algebra 70, No. 21, 6084-6095 (2022). MSC: 16W25 17A40 17B40 17B60 16G30 × Cite Format Result Cite Review PDF Full Text: DOI
Bród, Dorota; Szynal-Liana, Anetta; Włoch, Iwona On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. (English) Zbl 07655798 Czech. Math. J. 72, No. 4, 1239-1248 (2022). MSC: 11B37 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Şentürk, G. Y.; Gürses, N.; Yüce, S. Construction of dual-generalized complex Fibonacci and Lucas quaternions. (English) Zbl 1503.11041 Carpathian Math. Publ. 14, No. 2, 406-418 (2022). MSC: 11B39 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Pogorelov, B. A.; Pudovkina, M. A. The simplest overgroups of regular permutation representations of nonabelian 2-groups with a cyclic subgroup of index 2. (Russian. English summary) Zbl 1529.20028 Mat. Vopr. Kriptografii 13, No. 3, 107-130 (2022). MSC: 20D15 20B30 20D45 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Fan, Xueling; Li, Ying; Zhang, Mingcui; Zhao, Jianli Solving the least squares (anti)-Hermitian solution for quaternion linear systems. (English) Zbl 1513.15004 Comput. Appl. Math. 41, No. 8, Paper No. 371, 21 p. (2022). MSC: 15A06 15A24 15A09 × Cite Format Result Cite Review PDF Full Text: DOI
Kuzmenko, Tetiana; Shpakivskyi, Vitalii \(G\)-monogenic mappings in a three-dimensional noncommutative algebra. (English) Zbl 1503.30111 Complex Var. Elliptic Equ. 67, No. 11, 2759-2769 (2022). MSC: 30G35 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Amano, Ryosuke; Ishimaru, Akira; Kida, Masanari Galois realization of Schur covers of dihedral groups of \(2\)-power order. (English) Zbl 1514.12001 Funct. Approximatio, Comment. Math. 67, No. 1, 47-67 (2022). Reviewer: Ivo M. Michailov (Shumen) MSC: 12F12 11R32 × Cite Format Result Cite Review PDF Full Text: DOI
Hai, Jin Ke; Liu, Jian Xia Coleman outer automorphism groups of generalized quaternion groups. (Chinese. English summary) Zbl 1513.20039 Acta Math. Sin., Chin. Ser. 65, No. 1, 171-176 (2022). MSC: 20D45 20C05 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Rehman, Abdur; Kyrchei, Ivan I. Solving and algorithm to system of quaternion Sylvester-type matrix equations with \(\ast\)-Hermicity. (English) Zbl 1501.15010 Adv. Appl. Clifford Algebr. 32, No. 4, Paper No. 49, 17 p. (2022). Reviewer: Igor Korepanov (Moskva) MSC: 15A24 15B33 15A09 15A10 × Cite Format Result Cite Review PDF Full Text: DOI
Tokeşer, Ümit; Mert, Tuğba; Ünal, Zafer; Bilgici, Goksal Some special identities for Jacobsthal and Jacobsthal-Lucas generalized octonions. (English) Zbl 1497.11046 Casp. J. Math. Sci. 11, No. 1, 15-25 (2022). MSC: 11B39 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Şentürk, Tuncay Deniz; Ünal, Zafer 3-parameter generalized quaternions. (English) Zbl 1496.15018 Comput. Methods Funct. Theory 22, No. 3, 575-608 (2022). MSC: 15A66 15B33 11R52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dinh, Doan Cong Solutions of Lamé-Navier system in ball shell domain. (English) Zbl 1505.74011 J. Elasticity 150, No. 2, 327-339 (2022). MSC: 74B05 74G10 15B33 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Anli; Li, Ying; Ding, Wenxv; Zhao, Jianli Two algebraic methods for least squares L-structured and generalized L-structured problems of the commutative quaternion Stein matrix equation. (English) Zbl 1524.15037 Comput. Appl. Math. 41, No. 6, Paper No. 251, 23 p. (2022). MSC: 15A24 15A09 15B33 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Min; Ma, Xuanlong; Feng, Lihua Optimal identifying codes of two families of Cayley graphs. (English) Zbl 1495.05127 Discrete Appl. Math. 320, 199-210 (2022). MSC: 05C25 05C63 94B99 × Cite Format Result Cite Review PDF Full Text: DOI
Achak, A.; Ahmad, O.; Belkhadir, A.; Daher, R. Jackson theorems for the quaternion linear canonical transform. (English) Zbl 1517.44002 Adv. Appl. Clifford Algebr. 32, No. 3, Paper No. 41, 19 p. (2022). MSC: 44A15 41A17 46S05 × Cite Format Result Cite Review PDF Full Text: DOI
Gürses, Nurten; İşbilir, Zehra On the combined Jacobsthal-Padovan generalized quaternions. (English) Zbl 1491.05017 Adv. Stud.: Euro-Tbil. Math. J. 15, No. 2, 55-70 (2022). MSC: 05A15 11B37 11B83 11K31 11R52 × Cite Format Result Cite Review PDF Full Text: DOI
Bi, Wenshan; Cheng, Dong; Liu, Wankai; Kou, Kit Ian A robust color edge detection algorithm based on the quaternion Hardy filter. (English) Zbl 07562305 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1238-1260 (2022). MSC: 68U05 15A67 30G35 42B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Kaili; He, Jianxun; Lou, Zhenzhen Complex interpolation of \(L^p(\mathbb{C}, \mathbb{H})\) spaces with respect to Cullen-regular. (English) Zbl 1524.30162 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 2, 774-788 (2022). MSC: 30G35 42A85 43A15 46B70 × Cite Format Result Cite Review PDF Full Text: DOI
Johnson, Norman L. Classifying derivable nets. (English) Zbl 1501.51001 Innov. Incidence Geom. 19, No. 2, 59-94 (2022). Reviewer: Leo Storme (Gent) MSC: 51A05 51A40 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qing-Wen; Lv, Ru-Yuan; Zhang, Yang The least-squares solution with the least norm to a system of tensor equations over the quaternion algebra. (English) Zbl 1492.15017 Linear Multilinear Algebra 70, No. 10, 1942-1962 (2022). MSC: 15A69 15A24 15A10 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Wensheng; Chang, Zhenhu The Moore-Penrose inverses of split quaternions. (English) Zbl 1490.15003 Linear Multilinear Algebra 70, No. 9, 1631-1647 (2022). MSC: 15A06 15A09 15A10 15B33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Yang-Fan; Wang, Qing-Wen; Liu, Long-Sheng; Mehany, Mahmoud Saad A constrained system of matrix equations. (English) Zbl 1499.15057 Comput. Appl. Math. 41, No. 4, Paper No. 166, 24 p. (2022). MSC: 15A24 15A09 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yuan; Wu, Jianwei; Bao, Haibo Finite-time stabilization for delayed quaternion-valued coupled neural networks with saturated impulse. (English) Zbl 1510.93188 Appl. Math. Comput. 425, Article ID 127083, 15 p. (2022). MSC: 93C43 30G35 34H15 34K05 34K45 93D40 × Cite Format Result Cite Review PDF Full Text: DOI
Qi, Liqun; Luo, Ziyan; Wang, Qing-Wen; Zhang, Xinzhen Quaternion matrix optimization: motivation and analysis. (English) Zbl 1527.90227 J. Optim. Theory Appl. 193, No. 1-3, 621-648 (2022). MSC: 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Aljadeff, Eli; Karasik, Yakov On generic \(G\)-graded Azumaya algebras. (English) Zbl 1503.16025 Adv. Math. 399, Article ID 108292, 42 p. (2022). Reviewer: Uzi Vishne (Ramat Gan) MSC: 16R10 16W50 16K20 16R50 16H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xie, Jin-Hua; Feng, Yan-Quan; Kwon, Young Soo Normal Cayley digraphs of generalized quaternion groups with CI-property. (English) Zbl 1510.05111 Appl. Math. Comput. 422, Article ID 126966, 9 p. (2022). MSC: 05C25 20B25 05C60 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chao; Li, Zhien; Agarwal, Ravi P. A new quaternion hyper-complex space with hyper argument and basic functions via quaternion dynamic equations. (English) Zbl 1487.30040 J. Geom. Anal. 32, No. 2, Paper No. 67, 83 p. (2022). MSC: 30G35 × Cite Format Result Cite Review PDF Full Text: DOI
Srivastava, H. M.; Shah, Firdous A.; Teali, Aajaz A. Short-time special affine Fourier transform for quaternion-valued functions. (English) Zbl 1483.30093 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 66, 20 p. (2022). MSC: 30G35 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Yüce, Salim On the E. Study maps for the dual quaternions. (English) Zbl 1502.15017 Appl. Math. E-Notes 21, 365-374 (2021). MSC: 15A66 16H05 30G35 53A17 × Cite Format Result Cite Review PDF Full Text: Link
Gürses, Nurten Bringing together dual-generalized complex numbers and dual quaternions via Fibonacci and Lucas numbers. (English) Zbl 1513.11043 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 83, No. 3, 21-34 (2021). MSC: 11B39 11R52 15B33 × Cite Format Result Cite Review PDF
Kim, Ji Eun Calculation of vectorial derivatives for functions of a quaternion variable and their properties. (English) Zbl 1494.30086 Adv. Difference Equ. 2021, Paper No. 426, 21 p. (2021). MSC: 30G35 30G30 47S05 × Cite Format Result Cite Review PDF Full Text: DOI