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 ALAMT  Vol.6 No.2 , June 2016
A New Approximation to the Linear Matrix Equation AX = B by Modification of He’s Homotopy Perturbation Method
Abstract: 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.
Cite this paper: 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.
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