Author(s)

Amir Sadeghi^*

Young Researchers and Elite Club, Robat Karim Branch, Islamic Azad University, Tehran, Iran.

It is well known that the matrix equations play a significant role in engineering and applicable sciences. In this research article, a new modification of the homotopy perturbation method (HPM) will be proposed to obtain the approximated solution of the matrix equation in the form AX = B. Moreover, the conditions are deduced to check the convergence of the homotopy series. Numerical implementations are adapted to illustrate the properties of the modified method.

Matrix Equation, Homotopy Perturbation Method, Convergence, Diagonally Dominant Matrix, Regular Splitting

Sadeghi, A. (2016) A New Approximation to the Linear Matrix Equation AX = B by Modification of He’s Homotopy Perturbation Method. Advances in Linear Algebra & Matrix Theory, 6, 23-30. doi: 10.4236/alamt.2016.62004.