A simultaneous canonical form of a pair of matrices and applications involving the weighted Moore-Penrose inverse

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• 作者：Né ; stor Thome ^{njthome@mat.upv.es" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Factorization ; Weighted Moore&ndash ; Penrose inverse ; Reverse order law ; Partial order
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：53
• 期：Complete
• 页码：112-118
• 全文大小：563 K

文摘

In this paper, a simultaneous canonical form of a pair of rectangular complex matrices is developed. Using this new tool we give a necessary and sufficient condition to assure that the reverse order law is valid for the weighted Moore–Penrose inverse. Additionally, we characterize matrices ordered by the weighted star partial order and adjacent matrices as applications.