Results 31 to 40 of about 653,122 (340)
Mathematics, 2023 Let H denote the quaternion algebra. This paper investigates the generalized complementary covariance, which is the ϕ-Hermitian quaternion matrix. We give the properties of the generalized complementary covariance matrices.
Zhuo-Heng He +2 more
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Axioms, 2023 Quaternion is a four-dimensional and an extension of the complex number system. It is often viewed from various fields, such as analysis, algebra, and geometry.
Alit Kartiwa +3 more
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The images of noncommutative polynomials evaluated on the quaternion algebra [PDF]
, 2019 Let $p$ be a multilinear polynomial in several non-commuting variables with coefficients in an arbitrary field $K$. Kaplansky conjectured that for any $n$, the image of $p$ evaluated on the set $M_n(K)$ of $n$ by $n$ matrices is a vector space.
S. Malev
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Pose consensus based on dual quaternion algebra with application to decentralized formation control of mobile manipulators [PDF]
Journal of the Franklin Institute, 2018 This paper presents a solution based on dual quaternion algebra to the general problem of pose (i.e., position and orientation) consensus for systems composed of multiple rigid-bodies.
H. Savino +3 more
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Advancement in Color Image Processing using Geometric Algebra [PDF]
, 2008 This paper describes an advancement in color image processing, using geometric algebra. This is achieved using a compact representation of vectors within $n$ dimensional space. Geometric Algebra (GA) is a preferred framework for signal representation and
Mishra, Biswajit +2 more
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Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
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Some Results On Quaternion 3-Space
Cumhuriyet Science Journal, 2018 In this paper, the set J′=H(Q₄,Jγ) of 4 by 4 matrices, withentries in a quaternion F-algebra Q, that are symmetric with respect to thecanonical involution Jγ is studied.
Atilla Akpınar, Fatma Özen Erdoğan
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Canonical quaternion algebra of the Whitehead link complement
, 2023 Let ΓM be the fundamental group of a knot or link complement M. The discrete faithful representation of ΓM into PSL2(C) has an associated quaternion algebra. We can extend this notation to other representations, which are encoded by the character variety
Palmer, Rebekah, 0000-0002-1240-6759
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IEEE Access, 2023 The processing of color images is of great interest, because the human perception of color is a very complex process, still not well understood. In this article, firstly the authors present an analysis of the well-known mathematical methods used to model
Eduardo Bayro-Corrochano +2 more
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A Convolution Theorem Related to Quaternion Linear Canonical Transform
Abstract and Applied Analysis, 2019 We introduce the two-dimensional quaternion linear canonical transform (QLCT), which is a generalization of the classical linear canonical transform (LCT) in quaternion algebra setting. Based on the definition of quaternion convolution in the QLCT domain
Mawardi Bahri, Ryuichi Ashino
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