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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.
Erdoğdu, Melek, Özdemir, Mustafa
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Journal of Mathematical Physics, 2015
In the study of the relation between complexified classical and non-Hermitian quantum mechanics, physicists found that there are links to quaternionic and split quaternionic mechanics, and this leads to the possibility of employing algebraic techniques of split quaternions to tackle some problems in complexified classical and quantum mechanics.
Tongsong Jiang +2 more
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In the study of the relation between complexified classical and non-Hermitian quantum mechanics, physicists found that there are links to quaternionic and split quaternionic mechanics, and this leads to the possibility of employing algebraic techniques of split quaternions to tackle some problems in complexified classical and quantum mechanics.
Tongsong Jiang +2 more
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Spline Split Quaternion Interpolation in Minkowski Space
Advances in Applied Clifford Algebras, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
YAYLI, YUSUF +2 more
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A New Polar Representation for Split and Dual Split Quaternions
Advances in Applied Clifford Algebras, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Atasoy, Ali +3 more
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Computer Physics Communications, 2018
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Tongsong Jiang +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tongsong Jiang +2 more
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Journal of Computational and Applied Mathematics
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Gang Wang +3 more
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Gang Wang +3 more
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A note on quaternion matrices and split quaternion matrix pencils
Journal of Applied Mathematics and Computing, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On geometric interpretations of split quaternions
Mathematical Methods in the Applied Sciences, 2023İskender Öztürk, Mustafa Özdemİr
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The Moore-Penrose inverses of split quaternions
Linear and Multilinear Algebra, 2022Wensheng Cao
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