The study focuses on dual number symmetric matrices, dual complex Hermitian matrices, and dual quaternion Hermitian matrices within the framework of dual Hermitian matrices. The article introduces supplement matrices for a dual Hermitian matrix, which are Hermitian matrices in the original ring. By utilizing practical methods for computing eigenvalues of standard part Hermitian matrices in the original ring, a practical method is established for computing eigenvalues of a dual Hermitian matrix. Applications in low rank approximation, generalized inverses of dual matrices, least squares problems, and formation control are discussed with reported numerical experiments.
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by Liqun Qi,Chu... at arxiv.org 03-18-2024
https://arxiv.org/pdf/2403.10308.pdfDeeper Inquiries