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.