Document Type : Original Article
Department of Mathematics, University of Moulay Ismail, Meknes, Morocco
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia
In this paper, a matrix iterative algorithm is resorted to in the aim to solve numerically the well-known Lyapunov matrix equation $AX+XA^T=C$ that arises in some areas of applied science. Some numerical examples illustrating the significance of our approach and showing the interest of this work are provided as well.