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A Generalized Symbolic Thomas Algorithm for Solving Doubly Bordered <i>k</i>-Tridiagonal Linear Systems

A Generalized Symbolic Thomas Algorithm for Solving Doubly Bordered <i>k</i>-Tridiagonal Linear Systems
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摘要 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. 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.
出处 《Journal of Applied Mathematics and Physics》 2015年第9期1199-1206,共8页 应用数学与应用物理(英文)
关键词 DOUBLY Bordered k-Tridiagonal Matrix UL FACTORIZATION DETGDBTRI ALGORITHM Thomas ALGORITHM Computer Algebra Systems (CAS) Doubly Bordered k-Tridiagonal Matrix UL Factorization DETGDBTRI Algorithm Thomas Algorithm Computer Algebra Systems (CAS)
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