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Computing Partial Quaternion Eigenpairs with Quaternion Shift
Journal of Scientific Computing, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhigang Jia +3 more
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Journal of Mathematical Physics, 1992
The notion of quantum quaternions is introduced as a one-parametric quantum deformation of the quaternion algebra. An appriopriate noncommutative differential calculus is developed and the quantum version of the Fueter equation is founded.
MARCHIAFAVA, Stefano, Jakub Rembielinski
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The notion of quantum quaternions is introduced as a one-parametric quantum deformation of the quaternion algebra. An appriopriate noncommutative differential calculus is developed and the quantum version of the Fueter equation is founded.
MARCHIAFAVA, Stefano, Jakub Rembielinski
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Graphs and Combinatorics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BONISOLI, Arrigo, RINALDI, Gloria
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BONISOLI, Arrigo, RINALDI, Gloria
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Bulletin of the London Mathematical Society, 1985
The author proves that an \(n\times n\) matrix A with quaternion entries has a quaternion eigenvalue \(\lambda\) in the sense that \(\lambda\) I-A fails to be invertible.
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The author proves that an \(n\times n\) matrix A with quaternion entries has a quaternion eigenvalue \(\lambda\) in the sense that \(\lambda\) I-A fails to be invertible.
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Head Orientation Prediction: Delta Quaternions Versus Quaternions
IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2009Display lag in simulation environments with helmet-mounted displays causes a loss of immersion that degrades the value of virtual/augmented reality training simulators. Simulators use predictive tracking to compensate for display lag, preparing display updates based on the anticipated head motion.
Henry, Himberg, Yuichi, Motai
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Celestial Mechanics and Dynamical Astronomy, 2001
In this paper, a semi-analytical solution of the Kustaanheimo-Stiefel equation for the perturbed Kepler problem was developed. The procedure which is used, here, is capable of building the solution in a semi-analytical form serving as an efficient ``quaternionic'' processor.
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In this paper, a semi-analytical solution of the Kustaanheimo-Stiefel equation for the perturbed Kepler problem was developed. The procedure which is used, here, is capable of building the solution in a semi-analytical form serving as an efficient ``quaternionic'' processor.
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On Pell Quaternions and Pell-Lucas Quaternions
Advances in Applied Clifford Algebras, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cimen, Cennet Bolat, Ipek, Ahmet
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