All Solutions of the Yang–Baxter-Like Matrix Equation for Nilpotent Matrices of Index Two

Joint Authors

Zhou, Duanmei
Ding, Jiawen

Source

Complexity

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-06-18

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Philosophy

Abstract EN

Let A be a nilpotent matrix of index two, and consider the Yang–Baxter-like matrix equation AXA=XAX.

We first obtain a system of matrix equations of smaller sizes to find all the solutions of the original matrix equation.

When A is a nilpotent matrix with rank 1 and rank 2, we get all solutions of the Yang–Baxter-like matrix equation.

American Psychological Association (APA)

Zhou, Duanmei& Ding, Jiawen. 2020. All Solutions of the Yang–Baxter-Like Matrix Equation for Nilpotent Matrices of Index Two. Complexity،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1141082

Modern Language Association (MLA)

Zhou, Duanmei& Ding, Jiawen. All Solutions of the Yang–Baxter-Like Matrix Equation for Nilpotent Matrices of Index Two. Complexity No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1141082

American Medical Association (AMA)

Zhou, Duanmei& Ding, Jiawen. All Solutions of the Yang–Baxter-Like Matrix Equation for Nilpotent Matrices of Index Two. Complexity. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1141082

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1141082