El-Mikkawy, M., El-Shehawy, M. and Shehab, N. (2015) Solving Doubly Bordered Tridiagonal Linear Systems via Partition. Applied Mathematics, 6, 967-978.
http://dx.doi.org/10.4236/am.2015.66089

has been cited by the following article:

• TITLE: A Generalized Symbolic Thomas Algorithm for Solving Doubly Bordered k-Tridiagonal Linear Systems

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

  KEYWORDS: Doubly Bordered k-Tridiagonal Matrix, UL Factorization, DETGDBTRI Algorithm, Thomas Algorithm, Computer Algebra Systems (CAS)

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.9, September 29, 2015

  ABSTRACT: 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.