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A Generalized Symbolic Thomas Algorithm for Solving Doubly Bordered <i>k</i>-Tridiagonal Linear Systems
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作者 Nermeen Shehab Moawwad El-Mikkawy Mohammed El-Shehawy 《Journal of Applied Mathematics and Physics》 2015年第9期1199-1206,共8页
In the current paper, the authors present a symbolic algorithm for solving doubly bordered k-tridiagonal linear system having n equations and n unknowns. The proposed algorithm is derived by using partition together w... In the current paper, the authors present a symbolic algorithm for solving doubly bordered k-tridiagonal linear system having n equations and n unknowns. The proposed algorithm is derived by using partition together with UL factorization. The cost of the algorithm is O(n). The algorithm is implemented using the computer algebra system, MAPLE. Some illustrative examples are given. 展开更多
关键词 DOUBLY Bordered k-tridiagonal Matrix UL FACTORIZATION DETGDBTRI ALGORITHM Thomas ALGORITHM Computer Algebra Systems (CAS)
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New Algorithms for Solving Bordered <i>k</i>-Tridiagonal Linear Systems
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作者 Moawwad El-Mikkawy Faiz Atlan 《Journal of Applied Mathematics and Physics》 2015年第7期862-873,共12页
The present article is mainly devoted for solving bordered k-tridiagonal linear systems of equations. Two efficient and reliable symbolic algorithms for solving such systems are constructed. The computational cost of ... The present article is mainly devoted for solving bordered k-tridiagonal linear systems of equations. Two efficient and reliable symbolic algorithms for solving such systems are constructed. The computational cost of the algorithms is obtained. Some illustrative examples are given. 展开更多
关键词 Bordered k-tridiagonal MATRICES Partitioned MATRICES Algorithm LU FACTORIZATION MAPLE
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