Article ID Journal Published Year Pages File Type
1707473 Applied Mathematics Letters 2016 7 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
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