Zobrazeno 1 - 10
of 3 121
pro vyhledávání: '"Quaternion algebra"'
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 8, Iss , Pp 100547- (2023)
This paper is devoted to the study of the quaternion Laplace transform, which is a natural generalization of the classical Laplace transform using the quaternion algebra. We find that some of its properties such as derivative, convolution and correla
Externí odkaz:
https://doaj.org/article/23106072f37443c08eb5d4cf3a7d59d1
Publikováno v:
AIMS Mathematics, Vol 8, Iss 3, Pp 6026-6035 (2023)
In this paper, we investigate Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras over the field of real numbers. We prove that every Jordan semi-triple derivation on generalized quaternion algebras over the fiel
Externí odkaz:
https://doaj.org/article/3e954a9e847346af9f99a05f9de71830
Publikováno v:
Demonstratio Mathematica, Vol 55, Iss 1, Pp 786-797 (2022)
Wigner-Ville transform or Wigner-Ville distribution (WVD) associated with quaternion offset linear canonical transform (QOLCT) was proposed by Bhat and Dar. This work is devoted to the development of the theory proposed by them, which is an emerging
Externí odkaz:
https://doaj.org/article/aa70bf7a9db64f18baa7e87c6e894093
Publikováno v:
Symmetry, Vol 16, Iss 3, p 361 (2024)
This paper considers the Hermitian solutions of a new system of commutative quaternion matrix equations, where we establish both necessary and sufficient conditions for the existence of solutions. Furthermore, we derive an explicit general expression
Externí odkaz:
https://doaj.org/article/6a23317777a045928c6f808769ac931f
Akademický článek
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Akademický článek
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Publikováno v:
Mathematics, Vol 11, Iss 23, p 4840 (2023)
Let H denote the quaternion algebra. This paper investigates the generalized complementary covariance, which is the ϕ-Hermitian quaternion matrix. We give the properties of the generalized complementary covariance matrices. In addition, we explore t
Externí odkaz:
https://doaj.org/article/405af1b1f46a46d197f08cc38998c4d4
Publikováno v:
IEEE Access, Vol 10, Pp 31548-31560 (2022)
In this study, we propose a novel sparse representation learning method in the Quaternion Wavelet (QW) domain for multi-class image classification. The proposed method takes advantages from: i) the QW decomposition, which promotes sparsity and provid
Externí odkaz:
https://doaj.org/article/b2f01025d5974959a30d9fa1fe83070f
Autor:
Patra Asim
Publikováno v:
Discussiones Mathematicae - General Algebra and Applications, Vol 41, Iss 2, Pp 229-237 (2021)
The balancing and Lucas-balancing numbers are solutions of second order recurrence relations. A linear combination of these numbers can also be obtained as solutions of a fourth order recurrence relation. This recurrence relation can be extended to g
Externí odkaz:
https://doaj.org/article/b1748cf5013f4e9c95c07702cdff1b71