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Fuzzy adaptive nonlinear MIMO control for rigid coupled multibody robots using reinforcement learning model. [PDF]

Sci Rep
Duan C, Wang L, Li S.
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Enhancing Gait Symmetry via Intact Limb Kinematic Mapping Control of a Hip Disarticulation Prosthesis. [PDF]

Biomimetics (Basel)
Luo S, Shu X, Du J, Li H, Yu H.
europepmc   +1 more source

Soft-label guided stacked dual attention network for head pose estimation and its application to classroom gaze analysis. [PDF]

Sci Rep
Xu L, Li Z, Gan Y, Xia H.
europepmc   +1 more source

Quaternion Matrix and the Re-nonnegative Definite Solutions to the Quaternion Matrix Inverse Problem

Quaternion Matrix and the Re-nonnegative Definite Solutions to the Quaternion Matrix Inverse Problem
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Split Quaternion Matrix Representation of Dual Split Quaternions and Their Matrices [PDF]

Advances in Applied Clifford Algebras, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Erdoğdu, Melek, Özdemir, Mustafa
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Extremal ranks of a quaternion matrix expression subject to consistent systems of quaternion matrix equations with applications

Applied Mathematics and Computation, 2006
The authors consider the maximal and minimal ranks of the matrix function \(f(X_1,X_2)=A-A_3X_1B_3-A_4X_2B_4\) where the quaternion matrices \(X_1\), \(X_2\) are subject to the consistent systems of quaternion matrix equations \(A_1X_1=C_1\), \(X_1B_1=C_2~(*)\) and \(A_2X_2=C_3\), \(X_2B_2=C_4~(**)\).
Qing-Wen Wang
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Extreme ranks of a linear quaternion matrix expression subject to triple quaternion matrix equations with applications

Applied Mathematics and Computation, 2008
Maximal and minimal ranks of the quaternion matrix \(C_4 - A_4XB_4\) are studied, where \(X\) is a variable quaternion matrix subject to the quaternion equations \(A_1X = C_1\), \(XB_2 = C_2\), \(A_3XB_3 = C_3\). As a corollary necessary and sufficient conditions for solvability of a system of quaternion matrix equations are obtained. Extremal ranks of
Qing-Wen Wang, Shao-Wen Yu
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Robust quaternion matrix completion with applications to image inpainting

Numerical Linear Algebra With Applications, 2019
© 2019 John Wiley & Sons, Ltd. In this paper, we study robust quaternion matrix completion and provide a rigorous analysis for provable estimation of quaternion matrix from a random subset of their corrupted entries.
Zhigang Jia, Michael K Ng, Guang-Jing Song   +2 more
exaly   +2 more sources

Jacobi method for quaternion matrix singular value decomposition

Applied Mathematics and Computation, 2007
International audienceThe study of quaternion matrices has gained interest in many areas in recent years, and the problem of diagonalizing such matrices has also attracted attention.
Nicolas Le Bihan, Stephen J Sangwine
exaly   +2 more sources

Randomized quaternion matrix UTV decomposition and its applications in quaternion matrix optimization

Pacific Journal of Optimization, 2023
Summary: Quaternion singular value decomposition (QSVD) plays a fundamental role in quaternion matrix optimization. This paper introduces a two-sided random orthogonalization decomposition named quaternion matrix UTV (QUTV) decomposition to replace the QSVD in some applications of quaternion matrix optimization. The compressed randomized QUTV (CoR-QUTV)
Xu, Renjie, Wei, Yimin
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