Results 21 to 30 of about 3,462 (293)

Quaternion-Type Catalan Transforms of the ρ-Fibonacci and ρ-Lucas Numbers

Journal of Mathematics, 2023
In this paper, we define a new sequence called the quaternion-type Catalan sequence and give generating function, exponential representation, quaternionic Catalan matrix and its some properties.
Kübra Gül
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Matrix versions of Real and Quaternionic Nullstellensätze

Journal of Algebra, 2022
20 pages ...
openaire   +4 more sources

The Commutation Matrices of Elements in Kronecker Quaternion Groups

Jambura Journal of Mathematics, 2022
This article discusses the commutation matrix in the Kronecker quaternion group; that is, a non-abelian group whose 32 elements are matrices of 4 × 4 size, with entries in the set of complex numbers.
Yanita Yanita, Eka Purwanti, Lyra Yulianti   +2 more
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An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications

Journal of Applied Mathematics, 2014
This paper, by means of complex representation of a quaternion matrix, discusses the consimilarity of quaternion matrices, and obtains a relation between consimilarity and similarity of quaternion matrices.
Tongsong Jiang, Xuehan Cheng, Sitao Ling
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Real Matrix Representations for the Complex Quaternions [PDF]

Advances in Applied Clifford Algebras, 2013
Accepted in Appl. in Adv.
Flaut, Cristina, Shpakivskyi, Vitalii
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Dual Quaternions for the Kinematic Description of a Fish–Like Propulsion System

International Journal of Applied Mathematics and Computer Science, 2023
This study discusses the use of quaternions and dual quaternions in the description of artificial fish kinematics. The investigation offered here illustrates quaternion and dual quaternion algebra, as well as its implementation in the software chosen ...
Kitowski Zygmunt, Piskur Paweł, Orłowski Mateusz   +2 more
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Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
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Mueller quaternion with matrix coefficients for depolarizing and nondepolarizing media

, 2020
It is shown that a Mueller quaternion can be formulated as a quaternion with matrix coefficients, and this Mueller quaternion transforms the Stokes quaternion for depolarizing process as well as for nondepolarizing process. Mueller quaternion keeps track
A. Kuntman, M. A. Kuntman
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Coarse Alignment Technology on Moving base for SINS Based on the Improved Quaternion Filter Algorithm

Sensors, 2017
Initial alignment of the strapdown inertial navigation system (SINS) is intended to determine the initial attitude matrix in a short time with certain accuracy.
Tao Zhang, Yongyun Zhu, Feng Zhou, Yaxiong Yan, Jinwu Tong   +4 more
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Iterative Algorithm for Solving a Class of Quaternion Matrix Equation over the Generalized (P,Q)-Reflexive Matrices

Abstract and Applied Analysis, 2013
The matrix equation ∑l=1uAlXBl+∑s=1vCsXTDs=F, which includes some frequently investigated matrix equations as its special cases, plays important roles in the system theory.
Ning Li, Qing-Wen Wang
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