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Generalized Product of Two Square Matrices and Application for Some Algebraic Equations
Journal article   Peer reviewed

Generalized Product of Two Square Matrices and Application for Some Algebraic Equations

Mustapha Raissouli and Ibrahim Al-Subaihi
Complex analysis and operator theory, Vol.12(4), pp.969-986
01/04/2018
DOI: https://doi.org/10.1007/s11785-018-0762-0

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, a generalized matrix product is introduced and related properties are studied as well. Afterwards, we show how our approach can be applied to the so-called Sylvester and Lyaponov matrix equations for obtaining their related solutions in terms of the generalized matrix product. Numerical examples illustrating the theoretical study are also discussed.

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