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- Title
Algorithmic Method for Approximating the Solution of the Matrix Equation Σ<sup>m</sup><sub>j=1</sub> A<sup>m-j</sup>XA<sup>j-1</sup> = B.
- Authors
Mashat, Daoud Suleiman; Al-harbi, Nawal Helal; Mallawi, Fouad Othman
- Abstract
Matrix equations play an important place in some areas of sciences. Intensive studies aiming to solve some matrix equations and to explore some applications of these studies have been carried out recently. The contribution of the present paper falls within this framework. We investigate here an algorithm that converges to the positive solution of Σmj=1 Am-jXAj-1 = B, when A and B are two positive matrices. Application for some standard matrix equations, like Sylvester equation, is provided as well. Numerical examples showing the interest of this work and illustrating the theoretical study are also discussed.
- Subjects
SYLVESTER matrix equations; EQUATIONS; MATRICES (Mathematics); ALGEBRAIC equations; MATRIX multiplications
- Publication
International Journal of Open Problems in Computer Science & Mathematics, 2023, Vol 16, Issue 3, p1
- ISSN
1998-6262
- Publication type
Article