On Solving Centrosymmetric Linear Systems - Applied Mathematics

AM > Vol.4 No.12, December 2013

Applied Mathematics

Volume 4, Issue 12 (December 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

On Solving Centrosymmetric Linear Systems ()

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Download as PDF (Size: 188KB) PP. 21-32

DOI: 10.4236/am.2013.412A003 4,332 Downloads 7,326 Views Citations

Author(s)

Moawwad El-Mikkawy, Faiz Atlan

Affiliation(s)

Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt.

ABSTRACT

The current paper is mainly devoted for solving centrosymmetric linear systems of equations. Formulae for the determinants of tridiagonal centrosymmetric matrices are obtained explicitly. Two efficient computational algorithms are established for solving general centrosymmetric linear systems. Based on these algorithms, a MAPLE procedure is written. Some illustrative examples are given.

KEYWORDS

Centrosymmetric Matrix; Exchange Matrix; Rotate Matrix; Linear System; DETGTRI Algorithm; Computer Algebra Systems (CAS); MAPLE

Share and Cite:

M. El-Mikkawy and F. Atlan, "On Solving Centrosymmetric Linear Systems," Applied Mathematics, Vol. 4 No. 12A, 2013, pp. 21-32. doi: 10.4236/am.2013.412A003.

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