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Computing Solutions of the Yang-Baxter-like Matrix Equation for Diagonalisable Matrices

Published online by Cambridge University Press:  06 March 2015

J. Ding  and
Noah H. Rhee
J. Ding*
Affiliation:
Department of Mathematics, The University of Southern Mississippi, USA; School of Mathematical Sciences, Yangzhou University, China
Noah H. Rhee
Affiliation:
Department of Mathematics, University of Missouri – Kansas City, Kansas City, MO 64110-2499, USA
*
*Corresponding author. Email addresses: Jiu.Ding@usm.edu (J. Ding), RheeN@umkc.edu (N. H. Rhee)
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Abstract

The Yang-Baxter-like matrix equation AXA = XAX is reconsidered, where A is any complex square matrix. A collection of spectral solutions for the unknown square matrix X were previously found. When A is diagonalisable, by applying the mean ergodic theorem we propose numerical methods to calculate those solutions.

Keywords

15A2447A35Matrix equationmean ergodic theoremdiagonalisable matrix

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Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 5 , Issue 1 , February 2015 , pp. 75 - 84
Copyright
Copyright © Global-Science Press 2015 

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