Results 181 to 190 of about 1,341,776 (220)

Semi‐tensor product of quaternion matrices and its application

Mathematical methods in the applied sciences, 2022
Unlike real or complex numbers, quaternion multiplication does not satisfy the commutative law. This makes it impossible to generalize some conclusions on semi‐tensor product to quaternion directly, which is valid on real or complex number fields.
Xue-fang Fan, Ying Li, Wenxv Ding, Jianli Zhao   +3 more
semanticscholar   +1 more source

A new method based on semi-tensor product of matrices for solving Generalized Lyapunov Equation on the quaternion skew-filed

Cybersecurity and Cyberforensics Conference, 2021
In this paper, we propose a new method based on semi-tensor product of matrices for solving quaternion Generalized Lyapunov Equation ${A^H}X + XA + \sum\limits_{j = 1}^m {N_j^H} X{N_j} + {C^H}C = 0$.
Dong Wang, Ying Li, W. Ding
semanticscholar   +1 more source

Real and Hyperbolic Matrices of Split Semi Quaternions

Advances in Applied Clifford Algebras, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ALAGÖZ, Yasemin, Özyurt, Gözde
openaire   +2 more sources

Generalized tubes in pseudo‐Galilean 3‐space: Split semi‐quaternionic representations and an application to magnetic flux tubes

Mathematical Methods in the Applied Sciences, 2021
This paper deals with generalized tube surfaces (GTs) and their geometric properties in pseudo‐Galilean 3‐space. We classify these surfaces into two types. We firstly compute the first and second fundamental forms to investigate geometric properties of a GT.
openaire   +1 more source

Algebraic method for LU decomposition in commutative quaternion based on semi‐tensor product of matrices and application to strict image authentication

Mathematical methods in the applied sciences
As a kind of commutative and associative four‐dimensional algebra, commutative quaternion has better applications in color image and signal processing than quaternion.
Wenxv Ding, Ying Li, Zhihong Liu, Ruyu Tao, Mingcui Zhang   +4 more
semanticscholar   +1 more source

Color image encryption with semi-tensor product compressive sensing and quaternion discrete fractional Krawtchouk transform

Optica Applicata
A color image encryption scheme is investigated by integrating the semi-tensor product compressive sensing (STP-CS) with the quaternion discrete fractional Krawtchouk transform (QDFrKT).
Wen-Jun Yu, Hong-Xing Ding, Li-Hua Gong, Zhong-Hua Fang   +3 more
semanticscholar   +1 more source

A Unified Finite-Time Sliding Mode Quaternion-based Tracking Control for Quadrotor UAVs without Time Scale Separation

American Control Conference
This paper presents a novel design for finite-time position control of quadrotor Unmanned Aerial Vehicles (UAVs). A robust, finite-time, nonlinear feedback controller is introduced to reject bounded disturbances in tracking tasks.
A. M. Ali, Hashim A. Hashim, Awantha Jayasiri   +2 more
semanticscholar   +1 more source

Time Series Compression using Quaternion Valued Neural Networks and Quaternion Backpropagation

Neural Networks
We propose a novel quaternionic time series compression methodology where we divide a long time series into segments of data, extract the min, max, mean and standard deviation of these chunks as representative features and encapsulate them in a ...
Johannes Pöppelbaum, Andreas Schwung
semanticscholar   +1 more source

The (anti)-η-Hermitian solution of quaternion linear system

Filomat
Based on semi-tensor product of quaternion matrices we study the sufficient and necessary conditions for the existence of (anti)-?-Hermitian solutions of the system of equations over the quaternion algebra, and for some quaternion matrices with special ...
Xue-fang Fan, Ying Li, Zhihong Liu, Jianli Zhao   +3 more
semanticscholar   +1 more source

Solving quaternion linear system $$AXB=E$$ based on semi-tensor product of quaternion matrices

Banach Journal of Mathematical Analysis, 2023
Xue-fang Fan, Ying Li, Jianhua Sun, Jianli Zhao   +3 more
semanticscholar   +1 more source