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A Novel Shallow Neural Network-Augmented Pose Estimator Based on Magneto-Inertial Sensors for Reference-Denied Environments. [PDF]
Sensors (Basel)Odry A +4 more
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Cryptanalysis of some nonabelian group-based key exchange protocols. [PDF]
J Math CryptolTinani S, Matteotti C, Rosenthal J.
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Viewport prediction with cross modal multiscale transformer for 360° video streaming. [PDF]
Sci RepTian Y, Zhong Y, Han Y, Chen F.
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Low Rank Pure Quaternion Approximation for Pure Quaternion Matrices [PDF]
SIAM Journal on Matrix Analysis and Applications, 2021 Quaternion matrices are employed successfully in many color image processing applications. In particular, a pure quaternion matrix can be used to represent red, green and blue channels of color images. A low-rank approximation for a pure quaternion matrix can be obtained by using the quaternion singular value decomposition.
Guangjing Song +2 more
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On Eigenvalues of Split Quaternion Matrices
Advances in Applied Clifford Algebras, 2013A method for finding left eigenvalues of split quaternion matrices is established. Existence of right eigenvalues of a split quaternion matrix satisfying some equation is proved. The authors also show that the Gershgorin theorem which provides an inclusion disc for left eigenvalues of quaternion matrices also holds for split quaternion matrices.
Melek Erdogdu, Mustafa Özdemir
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Consimilarity of quaternions and coneigenvalues of quaternion matrices
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sitao Ling, Xuehan Cheng, Tongsong Jiang
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Commutativity for Matrices of Quaternions
Canadian Journal of Mathematics, 1968For any ring we shall denote by the ring of all n × n matrices with elements from and by the set of all polynomials in x with coefficients from . will denote the non-commutative four-dimensional division algebra of real quaternions with 1, i1, i2, i3 as ...
Carlson, R. E., Cullen, C. G.
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On Complex Split Quaternion Matrices
Advances in Applied Clifford Algebras, 2013Soon after Hamilton's discovery of the quaternion algebra, James Cockle introduced the so-called split quaternions: they have the same vector space but one defines \(i^2=-1\), \(j^2=k^2=1\), \(ijk=1\). Split quaternions also do not obey the commutative law, but there are divisors of zero, nilpotent elements and nontrivial idempotents. Furthermore, they
Melek Erdogdu, Mustafa Özdemir
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On exponential of split quaternionic matrices
Applied Mathematics and Computation, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Melek Erdogdu, Mustafa Özdemir
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Weighted Minimization Problems for Quaternion Matrices
Advances in Applied Clifford Algebras, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kyrchei, Ivan I. +2 more
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