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Explicit and Iterative Methods for Solving the Matrix Equation AV + BW = EVF + C
Author(s) -
Ramadan Mohamed A.,
Bayoumi Ahmed M. E.
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.965
Subject(s) - kronecker delta , iterative method , kronecker product , sylvester matrix , sylvester equation , mathematics , matrix (chemical analysis) , sylvester's law of inertia , algebra over a field , pure mathematics , algorithm , symmetric matrix , mathematical analysis , physics , eigenvalues and eigenvectors , quantum mechanics , polynomial matrix , materials science , matrix polynomial , polynomial , composite material
Abstract In this paper, we consider explicit and iterative methods for solving the Generalized Sylvester matrix equation AV + BW = EVF + C . Based on the use of Kronecker map and Sylvester sum some lemmas and theorems are stated and proved where explicit and iterative solutions are obtained. The proposed methods are illustrated by numerical example. The obtained results show that the methods are very neat and efficient.