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Bartels, R. and Stewart, G. (1994) Solution of the Matrix Equation AX+XB=C. Circuits, Systems and Signal Processing, 13, 820-826.
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.
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