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Alexandre, M. and Iain, D.B. (2010) Variant of the Thomas Algorithm for Opposite-Bordered Tridiagonal Systems of Equations. Numerical Methods in Biomedical Engineering, 26, 752-759.

has been cited by the following article:

• TITLE: Solving Doubly Bordered Tridiagonal Linear Systems via Partition

  AUTHORS: Moawwad El-Mikkawy, Mohammed El-Shehawy, Nermeen Shehab

  KEYWORDS: Doubly Bordered Tridiagonal Matrices, UL Factorization, Block Matrices, Computer Algebra Systems, Sherman-Morrison-Woodbury Formula

  JOURNAL NAME: Applied Mathematics, Vol.6 No.6, June 2, 2015

  ABSTRACT: This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The proposed algorithms are derived using partition together with UL factorization. Inversion algorithm for doubly bordered tridiagonal matrix is also considered based on the Sherman-Morrison-Woodbury formula. The algorithms are implemented using the computer algebra system, MAPLE. Some illustrative examples are given.