The Moore–Penrose Inverse and Singular Value Decomposition of Split Quaternions
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DOI: 10.1007/s00006-020-01058-8
Abstract: Using the concept of a transposition anti-involution in Clifford algebra $$C \, \ell _{1,1}$$ C ℓ 1 , 1 and the isomorphisms $${\mathbb {H}}_s \cong C \, \ell _{1,1} \cong \text {Mat}(2,{\mathbb {R}}),$$ H s… read more here.
Keywords: moore penrose; split quaternions; penrose inverse; singular value ... See more keywords
Multiplicative properties of integer valued polynomials over split-quaternions
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DOI: 10.1080/00927872.2020.1834572
Abstract: Abstract We study localization properties and the prime spectrum of the integer-valued polynomial ring where (respectively ) is the algebra of split-quaternion over ℤ (respectively over ). read more here.
Keywords: properties integer; multiplicative properties; polynomials split; integer valued ... See more keywords