Results 231 to 240 of about 2,420 (266)
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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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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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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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Involutions of Complexified Quaternions and Split Quaternions
Advances in Applied Clifford Algebras, 2012The paper deals with involutions and anti-involutions of the algebra \(\mathbb H\) of Hamilton quaternions, the so called split quaternion algebra \(M_2(\mathbb R)\), and the algebra \(\mathbb C\otimes_R\mathbb H\cong M_2(\mathbb C)\) of biquaternions. The \textit{M.-A. Knus} et al. [Book of Involutions.
Yayli, Yusuf, Bekar, MURAT
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On the Quaternion Ball and the Quaternion Projective Space
Acta Mathematica Sinica, English Series, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Advances in Applied Clifford Algebras, 2020
The paper proposes a generalization of the notion of complex measure in the quaternionic setting. For such a generalization, the authors prove several founding results, such as: -- the finiteness of the modulus of variation (extending a Lemma originally stated by Rudin); -- a Lebesgue-type decomposition; -- a Radon-Nikodym type theorem; -- the fact ...
M. E. Luna-Elizarrarás +3 more
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The paper proposes a generalization of the notion of complex measure in the quaternionic setting. For such a generalization, the authors prove several founding results, such as: -- the finiteness of the modulus of variation (extending a Lemma originally stated by Rudin); -- a Lebesgue-type decomposition; -- a Radon-Nikodym type theorem; -- the fact ...
M. E. Luna-Elizarrarás +3 more
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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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SIGGRAPH Asia 2012 Courses, 2012
This intermediate-level tutorial provides an introduction to the visualization of quaternions and recent developments concerning quaternion applications to computer graphics and scientific visualization. We begin by covering the fundamental nature of quaternions, explaining where they become important in computer graphics, and describing the basic ...
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This intermediate-level tutorial provides an introduction to the visualization of quaternions and recent developments concerning quaternion applications to computer graphics and scientific visualization. We begin by covering the fundamental nature of quaternions, explaining where they become important in computer graphics, and describing the basic ...
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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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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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