Jørgensen’s Inequality and Algebraic Convergence Theorem in Quaternionic Hyperbolic Isometry Groups by Huani Qin, Yueping Jiang, Wensheng Cao

“…We obtain an analogue of Jørgensen's inequality in quaternionic hyperbolic space. As an application, we prove that if the r-generator quaternionic Kleinian group satisfies I-condition, then its algebraic limit is also a quaternionic Kleinian group. …”
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Ninety-Six Distinct Real Matrices for Representing a Quaternion Number by W. E. Ahmed

“…In this paper, we investigate on the number of all possible real matrices representing a quaternion number as three 4×4 skew-symmetric matrices plus the identity matrix of order 4, and how to determine these matrices. …”
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DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds by Rawan Bossly, Majid Ali Choudhary, Mohd Danish Siddiqi, Oḡuzhan Bahadır, Mehmet Gülbahar

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Quaternionic representation of the moving frame for surfaces in Euclidean three-space and Lax pair by Paul Bracken

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Quadcopter Aggressive Maneuvers along Singular Configurations: An Energy-Quaternion Based Approach by Ayman A. El-Badawy, Mohamed A. Bakr

“…Modeling singularities are resolved by writing the equations-of-motion of the quadcopter in quaternion form. Physical singularities due to underactuation are resolved by using an energy-based control. …”
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Immersion and Invariance Adaptive Control for Spacecraft Pose Tracking via Dual Quaternions by Xiaoping Shi, Xuan Peng, Yupeng Gong

“…By virtue of the newly introduced dual direction cosine matrix, the dimension of the dual quaternion-based relative motion dynamics written in vector/matrix form can be lowered to six. …”
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On the Poisson transform on a homogenous vector bundle over the quaternionic hyperbolic space by Ouald Chaib, Achraf

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Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces by Ravi P. Agarwal, Hamed H. Alsulami, Erdal Karapınar, Farshid Khojasteh

“…Very recently, Ahmed et al. introduced the notion of quaternion-valued metric as a generalization of metric and proved a common fixed point theorem in the context of quaternion-valued metric space. …”
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Foundational aspects of a new matrix holomorphic structure by Hedi Khedhiri, Taher Mkademi

Subjects: “…Complex quaternion…”
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A dual-stream model based on PRNU and quaternion RGB for detecting fake faces. by Mohan Hua, Shuangliang Li, Jinwei Wang

“…To address this limitation, we propose a sophisticated forensic model that incorporates a dual-stream framework comprising quaternion RGB and PRNU(Photo Response Non-Uniformity). …”
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A novel investigation of quaternion Julia and Mandelbrot sets using the viscosity iterative approach by Nabaraj Adhikari, Wutiphol Sintunavarat

Subjects: “…Quaternion Julia sets…”
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A Real Representation Method for Solving Yakubovich-j-Conjugate Quaternion Matrix Equation by Caiqin Song, Jun-e Feng, Xiaodong Wang, Jianli Zhao

“…A new approach is presented for obtaining the solutions to Yakubovich-j-conjugate quaternion matrix equation X−AX^B=CY based on the real representation of a quaternion matrix. …”
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Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains by Yudier Peña Pérez, Ricardo Abreu Blaya, Paul Bosch, Juan Bory Reyes

“…We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time-harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R2. …”
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Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4 by İlim Kişi, Sezgin Büyükkütük, Günay Öztürk

“…In this study, some curvature conditions of quaternionic curves are obtained by writing the position vectors of quaternionic curves as linear combinations of new vector fields, named as Di 1≤i≤4, that are produced from Frenet frame fields of the quaternionic curves. …”
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Completing a 2×2 Block Matrix of Real Quaternions with a Partial Specified Inverse by Yong Lin, Qing-Wen Wang

“…This paper considers a completion problem of a nonsingular 2×2 block matrix over the real quaternion algebra ℍ: Let m1,  m2,  n1,  n2 be nonnegative integers, m1+m2=n1+n2=n>0, and A12∈ℍm1×n2, A21∈ℍm2×n1, A22∈ℍm2×n2, B11∈ℍn1×m1 be given. …”
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Least-Norm of the General Solution to Some System of Quaternion Matrix Equations and Its Determinantal Representations by Abdur Rehman, Ivan Kyrchei, Muhammad Akram, Ilyas Ali, Abdul Shakoor

“…We constitute some necessary and sufficient conditions for the system A1X1=C1, X1B1=C2, A2X2=C3, X2B2=C4, A3X1B3+A4X2B4=Cc, to have a solution over the quaternion skew field in this paper. A novel expression of general solution to this system is also established when it has a solution. …”
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Antiperiodic Solutions for Quaternion-Valued Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses by Nina Huo, Yongkun Li

“…This paper is concerned with quaternion-valued shunting inhibitory cellular neural networks (QVSICNNs) with distributed delays and impulses. …”
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Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time Scales by Shiping Shen, Bing Li, Yongkun Li

“…A class of quaternion-valued fuzzy cellular neural networks with time-varying delays on time scales is proposed. …”
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Least Squares Pure Imaginary Solution and Real Solution of the Quaternion Matrix Equation AXB+CXD=E with the Least Norm by Shi-Fang Yuan

“…Using the Kronecker product of matrices, the Moore-Penrose generalized inverse, and the complex representation of quaternion matrices, we derive the expressions of least squares solution with the least norm, least squares pure imaginary solution with the least norm, and least squares real solution with the least norm of the quaternion matrix equation AXB+CXD=E, respectively.…”
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Collision Avoidance for Maritime Autonomous Surface Ships Based on Model Predictive Control Using Intention Data and Quaternion Ship Domain by Hanxuan Zhang, Yuchi Cao, Qihe Shan, Yukun Sun

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