Results 31 to 40 of about 77,287 (351)
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 +4 more
doaj +1 more source
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
doaj +1 more source
Pneumonia classification using quaternion deep learning
Multimedia tools and applications, 2021 Pneumonia is an infection in one or both the lungs because of virus or bacteria through breathing air. It inflames air sacs in lungs which fill with fluid which further leads to problems in respiration.
S. Singh, B. Tripathi
semanticscholar +1 more source
A General Framework for Constrained Convex Quaternion Optimization [PDF]
IEEE Transactions on Signal Processing, 2021 This paper introduces a general framework for solving constrained convex quaternion optimization problems in the quaternion domain. To soundly derive these new results, the proposed approach leverages the recently developed generalized $\mathbb {H ...
Julien Flamant, S. Miron, D. Brie
semanticscholar +1 more source
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
doaj +1 more source
Instantons and quaternions [PDF]
Proceedings of Non-perturbative Quantum Effects 2000 — PoS(tmr2000), 2000 We relate the moduli space of Yang-Mills instantons to quaternionic manifolds. For instanton number one, the Wolf spaces play an important role. We apply these ideas to instanton calculations in N=4 SYM theory.
openaire +3 more sources
On balancing quaternions and Lucas-balancing quaternions
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper we define and study balancing quaternions and Lucas-balancing quaternions. We give the generating functions, matrix generators and Binet formulas for these numbers. Moreover, the well-known properties e.g. Catalan, d’ Ocagne identities have been obtained for these quaternions.
openaire +2 more sources