Algorithms for Solving Nonhomogeneous Generalized Sylvester Matrix Equations

El-Sayed Ehab A.; El Behady Eid E.

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Algorithms for Solving Nonhomogeneous Generalized Sylvester Matrix Equations

机译：Algorithms for Solving Nonhomogeneous Generalized Sylvester Matrix Equations

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This paper considers a new method to solve the first-order and second-order nonhomogeneous generalized Sylvester matrix equations AV+BW= EVF+R and MVF2+DV F+KV=BW+R, respectively, where A,E,M,D,K,B, and F are the arbitrary real known matrices and V and W are the matrices to be determined. An explicit solution for these equations is proposed, based on the orthogonal reduction of the matrix F to an upper Hessenberg form H. The technique is very simple and does not require the eigenvalues of matrix F to be known. The proposed method is illustrated by numerical examples.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2020年第9期|1549520.1-1549520.5|共5页
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El-Sayed Ehab A.; El Behady Eid E.;
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Prince Sattam Bin Abdulaziz Univ, Dept Math, Coll Sci & Humanitarian Studies, Al Kharj, Saudi Arabia|Suez Univ, Dept Sci & Math Engn, Fac Petr & Min Engn, Suez 43721, Egypt;

Prince Sattam Bin Abdulaziz Univ, Dept Math, Coll Sci & Humanitarian Studies, Al Kharj, Saudi Arabia;

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Algorithms for Solving Nonhomogeneous Generalized Sylvester Matrix Equations

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