Finite Iterative Algorithm for Solving a Complex of Conjugate and Transpose Matrix Equation
Joint Authors
Bayoumi, Ahmed M. E.
Ramadan, Mohamed A.
El-Danaf, Talaat S.
Source
Journal of Discrete Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-25
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Information Technology and Computer Science
Abstract EN
We consider an iterative algorithm for solving a complex matrix equation with conjugate and transpose of two unknowns of the form: A1VB1+C1WD1+A2V¯B2+C2W¯D2+A3VHB3+C3WHD3+A4VTB4 + C4WTD4=E.
With the iterative algorithm, the existence of a solution of this matrix equation can be determined automatically.
When this matrix equation is consistent, for any initial matrices V1, W1 the solutions can be obtained by iterative algorithm within finite iterative steps in the absence of round-off errors.
Some lemmas and theorems are stated and proved where the iterative solutions are obtained.
A numerical example is given to illustrate the effectiveness of the proposed method and to support the theoretical results of this paper.
American Psychological Association (APA)
Ramadan, Mohamed A.& El-Danaf, Talaat S.& Bayoumi, Ahmed M. E.. 2013. Finite Iterative Algorithm for Solving a Complex of Conjugate and Transpose Matrix Equation. Journal of Discrete Mathematics،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-451468
Modern Language Association (MLA)
Ramadan, Mohamed A.…[et al.]. Finite Iterative Algorithm for Solving a Complex of Conjugate and Transpose Matrix Equation. Journal of Discrete Mathematics No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-451468
American Medical Association (AMA)
Ramadan, Mohamed A.& El-Danaf, Talaat S.& Bayoumi, Ahmed M. E.. Finite Iterative Algorithm for Solving a Complex of Conjugate and Transpose Matrix Equation. Journal of Discrete Mathematics. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-451468
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451468
