Structure of Rank-One Matrices Over the Domain of Principal Ideals Relative to Similarity Transformations
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DOI: 10.1007/s10958-018-4098-0
Abstract: We study the structure of rank-one matrices over the domain of principal ideals relative to equivalence and similarity transformations. The canonical form of rank-one matrices relative to similarity transformations is established. We propose conditions under… read more here.
Keywords: one matrices; structure rank; rank one; similarity transformations ... See more keywords
Quaternion-Based Optimal Interpolation of Similarity Transformations for Multi-Agent Formation
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DOI: 10.1109/lra.2024.3396662
Abstract: This letter addresses the challenge of optimal motion interpolation in multi-agent formation control. The primary goal is to generate trajectories of similarity transformations that minimize various metrics, such as distance traveled, kinetic energy consumption, and… read more here.
Keywords: similarity transformations; quaternion based; multi agent; agent formation ... See more keywords
Similarity Transformations and Linearization for a Family of Dispersionless Integrable PDEs
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DOI: 10.3390/sym14081603
Abstract: We apply the theory of Lie point symmetries for the study of a family of partial differential equations which are integrable by the hyperbolic reductions method and are reduced to members of the Painlevé transcendents.… read more here.
Keywords: family; transformations linearization; differential equations; similarity transformations ... See more keywords