Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimax principle for right eigenvalues of dual quaternion matrices and
  their generalized inverses   Dual quaternions can represent rigid body motion in 3D spaces, and have found
wide applications in robotics, 3D motion modelling and control, and computer
graphics. In this paper, we introduce three different right linear independency
for a set of dual quaternion vectors, and study some related basic properties
for the set of dual quaternion vectors and dual quaternion matrices. We present
a minimax principle for right eigenvalues of dual quaternion Hermitian
matrices. Based upon a newly established Cauchy-Schwarz inequality for dual
quaternion vectors and singular value decomposition of dual quaternion
matrices, we propose an important inequality for singular values of dual
quaternion matrices. We finally introduce the concept of generalized inverse of
dual quaternion matrices, and present the necessary and sufficient conditions
for a dual quaternion matrix to be one of four types of generalized inverses of
another dual quaternion matrix.

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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: econ