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T. Sogabe and M. El-Mikkawy, “Fast Block Diagonalization of k-Tridiagonal Matrices,” Applied Mathematics and Computation, Vol. 218, No. 6, 2011, pp. 2740-2743. doi:10.1016/j.amc.2011.08.014

has been cited by the following article:

• TITLE: A Generalized Symbolic Thomas Algorithm

  AUTHORS: Moawwad El-Mikkawy

  KEYWORDS: Tridiagonal Matrices; LU Factorization; Linear Systems; DETGTRI Algorithm; Thomas Algorithm

  JOURNAL NAME: Applied Mathematics, Vol.3 No.4, April 27, 2012

  ABSTRACT: The current paper is mainly devoted to construct a generalized symbolic Thomas algorithm that will never fail. Two new efficient and reliable computational algorithms are given. The algorithms are suited for implementation using computer algebra systems (CAS) such as Mathematica, Macsyma and Maple. Some illustrative examples are given.