Article ID Journal Published Year Pages File Type
6416881 Linear Algebra and its Applications 2011 24 Pages PDF
Abstract

A square complex matrix A is said to be EP if A and its conjugate transpose A∗ have the same range. In this paper, we first collect a group of known characterizations of EP matrix, and give some new characterizations of EP matrices. Then, we define weighted-EP matrix, and present a wealth of characterizations for weighted-EP matrix through various rank formulas for matrices and their generalized inverses.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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