Article citationsMore>>

Liu, H.K. (2011) Application of Homotopy Perturbation Methods for Solving Systems of Linear Equations. Applied Mathematics and Computation, 217, 5259-5264.
http://dx.doi.org/10.1016/j.amc.2010.11.024

has been cited by the following article:

• TITLE: A New Approximation to the Linear Matrix Equation AX = B by Modification of He’s Homotopy Perturbation Method

  AUTHORS: Amir Sadeghi

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

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.6 No.2, May 26, 2016

  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.