Dual quaternions and dual quaternion vectors

DOI10.1007/s42967-022-00189-yOpenAlexW3214066271WikidataQ114216638 ScholiaQ114216638MaRDI QIDQ2084924

Liqun Qi, Hong Yan, Chen Ling

Publication date: 13 October 2022

Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04491

zbMATH Keywords

normdual numbermagnitudedual quaternionabsolute value function

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Quadratic spaces; Clifford algebras (11E88) ``Super (or ``skew) structure (16W55)

Related Items (10)

Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations ⋮ The dual index and dual core generalized inverse ⋮ Minimax Principle for Eigenvalues of Dual Quaternion Hermitian Matrices and Generalized Inverses of Dual Quaternion Matrices ⋮ Standard dual quaternion optimization and its applications in hand-eye calibration and SLAM ⋮ Norms of dual complex vectors and dual complex matrices ⋮ Dual core-nilpotent decomposition and dual binary relation ⋮ A regularization-patching dual quaternion optimization method for solving the hand-eye calibration problem ⋮ Singular Value Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain ⋮ The perturbation of Drazin inverse and dual Drazin inverse ⋮ Dual core generalized inverse of third-order dual tensor based on the T-product

Cites Work

• Unnamed Item
• Factorization and generalized roots of dual complex matrices with Rodrigues' formula
• On the Homogeneous Model of Euclidean Geometry
• Generalizations of singular value decomposition to dual-numbered matrices
• Quaternions and matrices of quaternions

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