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On Solving Pentadiagonal Linear Systems via Transformations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-31
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Many authors have studied numerical algorithms for solving the linear systems of pentadiagonal type.
The well-known fast pentadiagonal system solver algorithm is an example of such algorithms.
The current paper describes new numerical and symbolic algorithms for solving pentadiagonal linear systems via transformations.
The proposed algorithms generalize the algorithms presented in El-Mikkawy and Atlan, 2014.
Our symbolic algorithms remove the cases where the numerical algorithms fail.
The computational cost of our algorithms is better than those algorithms in literature.
Some examples are given in order to illustrate the effectiveness of the proposed algorithms.
All experiments are carried out on a computer with the aid of programs written in MATLAB.
American Psychological Association (APA)
Askar, S. S.& Karawia, A. A.. 2015. On Solving Pentadiagonal Linear Systems via Transformations. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073273
Modern Language Association (MLA)
Askar, S. S.& Karawia, A. A.. On Solving Pentadiagonal Linear Systems via Transformations. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1073273
American Medical Association (AMA)
Askar, S. S.& Karawia, A. A.. On Solving Pentadiagonal Linear Systems via Transformations. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073273
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073273