Results 11 to 20 of about 1,341,776 (220)
Constrainted least squares solution of Sylvester equation
Mathematical Modelling and Control, 2021 In this paper, we study several constrainted least squares solutions of quaternion Sylvester matrix equation. We first propose a real vector representation of quaternion matrix and study its properties.
Wenxv Ding, Ying Li, Dong Wang, AnLi Wei
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Involutions in Semi-Quaternions [PDF]
Journal of Geometry and Symmetry in Physics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bekar, Murat, Yayli, Yusuf
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AIMS Mathematics, 2022 In this paper, we propose a real vector representation of reduced quaternion matrix and study its properties. By using this real vector representation, Moore-Penrose inverse, and semi-tensor product of matrices, we study some kinds of solutions of ...
Wenxv Ding +3 more
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Solving Quaternion Linear System Based on Semi-Tensor Product of Quaternion Matrices
Symmetry, 2022 In this paper, we use semi-tensor product of quaternion matrices, L-representation of quaternion matrices, and GH-representation of special quaternion matrices such as quaternion (anti)-centrosymmetric matrices to solve the special solutions of ...
Xue-fang Fan +3 more
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Generalization of Auto-Regressive Hidden Markov Models to Non-Linear Dynamics and Unit Quaternion Observation Space [PDF]
IEEE Robotics and Automation Letters, 2023 Latent variable models are widely used to perform unsupervised segmentation of time series in different context such as robotics, speech recognition, and economics.
Michele Ginesi, P. Fiorini
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Learning Speech Emotion Representations in the Quaternion Domain [PDF]
IEEE/ACM Transactions on Audio Speech and Language Processing, 2022 The modeling of human emotion expression in speech signals is an important, yet challenging task. The high resource demand of speech emotion recognition models, combined with the general scarcity of emotion-labelled data are obstacles to the development ...
E. Guizzo +3 more
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A Novel Polar Rapid Transfer Alignment for Shipborne SINS Under Arbitrary Misalignments
IEEE Access, 2020 The traditional polar rapid transfer alignment (RTA) are generally modeled under small angle misalignment assumption. Those linearized and nonlinear polar RTA error models presented, so far, are not capable of accurately representing the nonlinear ...
Jianhua Cheng +3 more
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Kinematic Mapping in Semi-Euclidean 4-Space
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2015 We study the some algebraic properties of matrix associated to Hamilton operators is defined for semi-quaternions. The kinematic mapping corresponding to these operators in semi-Euclidean 4-space is same as the kinematic mapping of Blaschke and Grünwald ...
Mehdi JAFARI
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Micromachines, 2018 In order to guarantee the stable flight of a guided projectile, it is difficult to realize in-flight alignment for the micro inertial navigation system (MINS) during its short flight time.
Yun Xu, Tong Zhou
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A New Method of Solving Special Solutions of Quaternion Generalized Lyapunov Matrix Equation
Symmetry, 2022 In this paper, we study the bisymmetric and skew bisymmetric solutions of quaternion generalized Lyapunov equation. With the help of semi-tensor product of matrices, some new conclusions on the expansion rules of row and column of matrix product on ...
Zhihong Liu +3 more
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