Four symmetric systems of the matrix equations with an application over the Hamilton quaternions by Long-Sheng Liu, Shuo Zhang, Hai-Xia Chang

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Quaternion Fractional Fourier Transform: Bridging Signal Processing and Probability Theory by Muhammad Adnan Samad, Yuanqing Xia, Saima Siddiqui, Muhammad Younus Bhat, Didar Urynbassarova, Altyn Urynbassarova

Subjects: “…quaternion fractional Fourier transform…”
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A Simplified Proof of Uncertainty Principle for Quaternion Linear Canonical Transform by Mawardi Bahri, Ryuichi Ashino

“…We provide a short and simple proof of an uncertainty principle associated with the quaternion linear canonical transform (QLCT) by considering the fundamental relationship between the QLCT and the quaternion Fourier transform (QFT). …”
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On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups by Bahram Ahmadi, Hossein Doostie

“…We study 2-step general Fibonacci sequences in the generalized quaternion groups Q4n. In cases where the sequences are proved to be simply periodic, we obtain the periods of 2-step general Fibonacci sequences.…”
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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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Parameters estimation of vector-sensor array in colored noise based on quaternion-MUSIC by WANG Fei1, WANG Shu-xun2, ZHANG Kun-lei2

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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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Feature extraction algorithm based on quaternion common spatial pattern for banknote recognition by Shan GAI

Subjects: “…quaternion matrix…”
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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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