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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Novel solutions and stability of quaternion differential equations: symmetry and asymmetry analyses using matrix representation and Lyapunov methods by Prasantha Bharathi Dhandapani, Anthony Raj Abraham, Hijaz Ahmad, Taha Radwan

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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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Quaternion-Based Fast SMC–PD Cross-Domain Tracking Control for Coaxial Hybrid Aerial–Underwater Vehicle Under Oceanic Disturbances by Mingqing Lu, Wei Yang, Fei Liao, Shichong Wu, Yumin Su, Wenhua Wu

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The criteria for automorphisms on finite-dimensional algebras by Yanni Yang, Quanguo Chen

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Formula for Dupin cyclidic cube and Miquel point by Jean Michel Menjanahary, Rimvydas Krasauskas

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Un fragment de manuscrit inédit du IXe siècle découvert à l’abbaye Saint-Wandrille by Pascal Pradié

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Matrix measure-based exponential stability and synchronization of Markovian jumping QVNNs with time-varying delays and delayed impulses by Miao Zhang, Bole Li, Weiqiang Gong, Shuo Ma, Qiang Li

Subjects: “…quaternion-valued neural networks…”
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Positive Kinematics Analysis of 3-RRR Spherical Parallel Robot by lin Zhang, Xuxia Guo, Gemeng Shi, Lansheng Jia, li Wang

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Unmanned Aerial Vehicle Attitude Determination Strategies: A Review by David Oppong, Joshua Ampofo, Eunice Akyereko Adjei, Anthony Agyei-Agyemang, Kwasi Kete Bofah, Mary Korkor Teye, Victoria Serwaa-Bonsu Acheamfour, God'sable Sitsofe Koku Aidam

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Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields by Matveev, Vladimir S., Nikolayevsky, Yuri

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Rings with involution whose symmetric elements are central by Taw Pin Lim

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PoWBWM: Proof of work consensus cryptographic blockchain-based adaptive watermarking system for tamper detection applications by P. Aberna, L. Agilandeeswari

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Almost contact metric 3-submersions by Bill Watson

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Translational and great Darboux cyclides by Lubbes, Niels

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SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS by V. I. Igoshin

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