Results 21 to 30 of about 245,475 (190)
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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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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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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Color Edge Detection Hardware based on Geometric Algebra.
, 2006 Modern techniques treat color images as separate monochrome images for processing. Partly, because there is no straightforward generalization of linear filters available for color.
Mishra, Biswajit, Wilson, Peter
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Levels and sublevels of composition algebras [PDF]
, 2007 Lewis' and Leep's bounds on the level and sublevel of quaternion algebras are extended to the class of composition algebras. Some simple constructions of composition algebras of known level values are given.
O'Shea, James
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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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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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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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Cauchy matrix and Liouville formula of quaternion impulsive dynamic equations on time scales
Open Mathematics, 2020 In this study, we obtain the scalar and matrix exponential functions through a series of quaternion-valued functions on time scales. A sufficient and necessary condition is established to guarantee that the induced matrix is real-valued for the complex ...
Li Zhien, Wang Chao
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