The rank conditions such that AB and BA are similar and applications

Cao Chong-guang, Xiaomin Tang, Li Ming Yang

Type: Article

Publication Date: 2007-01-01

Citations: 1

DOI: https://doi.org/10.12988/ija.2007.07030

Abstract

Suppose that A and B are two complex n × n matrices.What is the sufficient or necessary condition such that AB and BA are similar?In this note, we give an equivalent rank condition to answer the question.We also show several sufficient rank conditions of the same problem.As applications, some problems about matrix similar and generalized inverses are solved.

Locations

International Journal of Algebra - View
CiteSeer X (The Pennsylvania State University) - View - PDF

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Works Cited by This (2)

Action	Title	Year	Authors
+	On similarity of matrices over commutative rings	2005	В. М. Прокіп
+	Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses	1969	Arthur Albert