On the solutions of the dual matrix equation $ A^\top XA = B $

Let $ \mathbb{D}^{m \times n} = \{A = A_{1}+\varepsilon A_{2}|A_{1}, A_{2}\in \mathbb{R}^{m \times n}\} $ be the set of all $ m\times n $ real dual matrices. In this paper, the following problems are considered. <b>Problem I:</b> Given dual matrices $ A = A_{1}+\varepsilon A_{2}\in \mat...

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Bibliographic Details
Main Authors: Min Zeng, Yongxin Yuan
Format: Article
Language:English
Published: AIMS Press 2023-09-01
Series:Mathematical Modelling and Control
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mmc.2023018?viewType=HTML