Results 21 to 30 of about 19,876 (286)
On the semicircular law of large dimensional random quaternion matrices [PDF]
, 2015 It is well known that Gaussian symplectic ensemble (GSE) is defined on the space of $n\times n$ quaternion self-dual Hermitian matrices with Gaussian random elements. There is a huge body of literature regarding this kind of matrices.
Bai, Zhidong, Hu, Jiang, Yin, Yanqing
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On the Consimilarity of Split Quaternions and Split Quaternion Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we introduce the concept of consimilarity of split quaternions and split quaternion matrices. In his regard, we examine the solvability conditions and general solutions of the equations and in split quaternions and split quaternion ...
Kösal Hidayet Hüda +2 more
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Permanental processes from products of complex and quaternionic induced Ginibre ensembles [PDF]
, 2014 We consider products of independent random matrices taken from the induced Ginibre ensemble with complex or quaternion elements. The joint densities for the complex eigenvalues of the product matrix can be written down exactly for a product of any fixed ...
Akemann, G., Ipsen, J. R., Strahov, E.
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Quaternion feedback attitude control system design based on weighted–L2–gain performance
Results in Engineering, 2023 The operation and accomplishment of a satellite's mission depend on its capacity to control its attitude. A rotation matrix parameterization, such as a (unit) quaternion, is frequently used to represent the attitude information needed for attitude ...
Harry Septanto +2 more
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A survey on the computation of quaternions from rotation matrices [PDF]
, 2019 The parameterization of rotations is a central topic in many theoretical and applied fields such as rigid body mechanics, multibody dynamics, robotics, spacecraft attitude dynamics, navigation, 3D image processing, computer graphics, etc.
Sarabandi, Soheil, Thomas, Federico
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Abstract and Applied Analysis, 2013 The matrix equation ∑l=1uAlXBl+∑s=1vCsXTDs=F, which includes some frequently investigated matrix equations as its special cases, plays important roles in the system theory.
Ning Li, Qing-Wen Wang
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Ninety-Six Distinct Real Matrices for Representing a Quaternion Number
Journal of Mathematics, 2020 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.
W. E. Ahmed
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Review of Quaternion-Based Color Image Processing Methods
Mathematics, 2023 Images are a convenient way for humans to obtain information and knowledge, but they are often destroyed throughout the collection or distribution process.
Chaoyan Huang, Juncheng Li, Guangwei Gao
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New Insight into Quaternions and Their Matrices
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021 The aim of this paper is to bring together quaternions and generalized complex numbers. Generalized quaternions with generalized complex number components are expressed and their algebraic structures are examined. Several matrix representations and computational results are introduced.
Gülsüm Yeliz ŞENTÜRK +2 more
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Journal of Applied Mathematics, 2014 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
Shi-Fang Yuan
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