A new Approximation to the solution of the linear matrix equation AXB = C

Subject Areas : History and biography

A.  Sadeghi ¹ (Department of Mathematics, Robat Karim Branch, Islamic Azad University, Tehran, Iran)

Received: 2015-10-22 Accepted : 2016-03-19 Published : 2015-12-01

Keywords: Homotopy Perturbation method, matrix equation, Diagonally dominant matrix, Convergence, Iterative method,

Abstract :

It is well-known that the matrix equations play a significant role in several applications in science and engineering. There are various approaches either direct methods or iterative methods to evaluate the solution of these equations. In this research article, the homotopy perturbation method (HPM) will employ to deduce the approximated solution of the linear matrix equation in the form AXB=C. Furthermore, the conditions will be explored to check the convergence of the homotopy series. Numerical examples are also adapted to illustrate the properties of the modified method.

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