Explicit Solutions of the Yang-Baxter-like Matrix Equation for an Idempotent Matrix

Document Type

Article

Publication Date

1-2017

Department

Mathematics

Abstract

Let A be an idempotent matrix. We obtain an explicit expression for all the solutions of the quadratic matrix equation AXA = XAX, completing the task of finding general solutions of the equation explicitly with a given idempotent matrix A. (C) 2016 Elsevier Ltd. All rights reserved.

Publication Title

Applied Mathematics Letters

Volume

63

First Page

71

Last Page

76

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