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.