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On Solving Centrosymmetric Linear Systems
Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt
Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt
- 1 Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt
- 2 Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt
Applied Mathematics·Volume 04 (2013)·Pages 21–32·Published 18 December 2013·DOI10.4236/am.2013.412A003
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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.
KeywordsCentrosymmetric MatrixExchange MatrixRotate MatrixLinear SystemDETGTRI AlgorithmComputer Algebra Systems (CAS)MAPLE
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