Work

A Mirsky-Type Unitarily Invariant Norm Inequality for Dual Quaternion Matrices and Its Applications

Year: 2025

Type: article

Abstract: In this paper, we present a Mirsky-type unitarily invariant norm inequality for dual quaternion matrices, which can be regarded as a singular value perturbation theorem for dual quaternion matrices. By using this unitarily invariant norm inequality, we obtain some other unitarily invariant norm inequalities for dual quaternion matrices, including the low-rank approximation problem, eigenvalue perturbation theorem and polar decomposition. Some inequalities for the difference between singular values and eigenvalues of two dual quaternion matrices under the Frobenius norm are extended.

Source: Symmetry

DOI: 10.3390/sym17081355

Authors: Jin Zhong, Ping Zhong

Institution: Jiangxi University of Science and Technology

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: National Natural Science Foundation of China