Results 271 to 280 of about 6,678 (298)
Some of the next articles are maybe not open access.
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
openaire +1 more source
On the Quaternion Ball and the Quaternion Projective Space
Acta Mathematica Sinica, English Series, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
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
openaire +2 more sources
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
openaire +2 more sources
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.
openaire +2 more sources
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.
openaire +2 more sources
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 ...
openaire +1 more source
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 ...
openaire +1 more source
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
openaire +1 more source
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
openaire +1 more source
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.
openaire +2 more sources
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.
openaire +2 more sources
The Mathematical Intelligencer, 1996
Some of the classical matrix groups are most conceptually defined as groups of quaternionic matrices. But, the quaternions not being commutative, it is not clear how to define the determinant of a quaternionic matrix. Over the years, many mathematicians have given different definitions. In this paper the author discuss some of these.
openaire +1 more source
Some of the classical matrix groups are most conceptually defined as groups of quaternionic matrices. But, the quaternions not being commutative, it is not clear how to define the determinant of a quaternionic matrix. Over the years, many mathematicians have given different definitions. In this paper the author discuss some of these.
openaire +1 more source
Generalized commutative quaternions of the Fibonacci type
Boletin De La Sociedad Matematica Mexicana, 2021Anetta Szynal-Liana, Iwona Włoch
exaly