Hyper-dual matrices and dual transformations

Yüca, Gülsüm; Yaylı, Yusuf

doi:10.1016/j.geomphys.2022.104473

Journal of Geometry and Physics

2022

DOI: 10.1016/j.geomphys.2022.104473

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Hyper-dual matrices and dual transformations

Gülsüm Yüca

Yusuf Yaylı

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2024

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Cited by 1 publication

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Characterizations and properties of hyper-dual Moore-Penrose generalized inverse

Xiao,

Zhong

2024

MATH

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<p>In this paper, the definition of the hyper-dual Moore-Penrose generalized inverse of a hyper-dual matrix is introduced. Characterizations for the existence of the hyper-dual Moore-Penrose generalized inverse are given, and a formula for the hyper-dual Moore-Penrose generalized inverse is presented whenever it exists. Least-squares properties of the hyper-dual Moore-Penrose generalized inverse are discussed by introducing a total order of hyper-dual numbers. We also introduce the definition of a dual matrix of order $ n $. A necessary and sufficient condition for the existence of the Moore-Penrose generalized inverse of a dual matrix of order $ n $ is given.</p>

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Characterizations and properties of hyper-dual Moore-Penrose generalized inverse

Xiao,

Zhong

2024

MATH

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Hyper-dual matrices and dual transformations

Cited by 1 publication

References 19 publications

Characterizations and properties of hyper-dual Moore-Penrose generalized inverse

Characterizations and properties of hyper-dual Moore-Penrose generalized inverse

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