Algorithms for Solving Nonhomogeneous Generalized Sylvester Matrix Equations
Joint Authors
El-Sayed, Ehab A.
El Behady, Eid E.
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-31
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
El-Sayed, Ehab A.& El Behady, Eid E.. 2020. Algorithms for Solving Nonhomogeneous Generalized Sylvester Matrix Equations. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1193318
Modern Language Association (MLA)
El-Sayed, Ehab A.& El Behady, Eid E.. Algorithms for Solving Nonhomogeneous Generalized Sylvester Matrix Equations. Mathematical Problems in Engineering No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1193318
American Medical Association (AMA)
El-Sayed, Ehab A.& El Behady, Eid E.. Algorithms for Solving Nonhomogeneous Generalized Sylvester Matrix Equations. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1193318
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193318