%0 Journal Article
%T A New Approximation to the Linear Matrix Equation <i>AX</i> = <i>B</i> by Modification of He¡¯s Homotopy Perturbation Method
%A Amir Sadeghi
%J Advances in Linear Algebra & Matrix Theory
%P 23-30
%@ 2165-3348
%D 2016
%I Scientific Research Publishing
%R 10.4236/alamt.2016.62004
%X 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 <i>AX </i>= <i>B</i>. 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.
%K Matrix Equation
%K Homotopy Perturbation Method
%K Convergence
%K Diagonally Dominant Matrix
%K Regular Splitting
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=66772