Geodesic
An efficient iterative algorithm for finding a nontrivial symmetric solution of the Yang-Baxter-like matrix equation
Chacha, Chacha Stephen 1 ; Kim, Hyun-Min 2
1 Mathematics department, Mkwawa University College of Education, (A constituent College of the University of Dar es salaam), P. O. Box 2513, Iringa, Tanzania
2 Mathematics department, Pusan National University, Busan, 46241, Republic of Korea
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 1, p. 21-29.

Voir la notice de l'article provenant de la source International Scientific Research Publications

This paper presents an efficient iterative method to obtain a nontrivial symmetric solution of the Yang-Baxter-like matrix equation $AXA=XAX $. Necessary conditions for the convergence of the propounded iterative method are derived. Finally, three numerical examples to illustrate the efficiency of the proposed method and the preciseness of our theoretical results are provided.
DOI : 10.22436/jnsa.012.01.02
Classification : 15A24, 65F10, 65H10
Keywords: Yang-Baxter matrix equation, iterative method, nontrivial solution, Newton's method

Chacha, Chacha Stephen  1 ; Kim, Hyun-Min  2

1 Mathematics department, Mkwawa University College of Education, (A constituent College of the University of Dar es salaam), P. O. Box 2513, Iringa, Tanzania
2 Mathematics department, Pusan National University, Busan, 46241, Republic of Korea 
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Chacha, Chacha Stephen ; Kim, Hyun-Min . An efficient iterative algorithm for finding a  nontrivial symmetric solution of the Yang-Baxter-like matrix equation. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 1, p. 21-29. doi : 10.22436/jnsa.012.01.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.01.02/

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