Inversion of general tridiagonal matrices

被引：66
|
作者：
El-Mikkawy, Moawwad [1 ]
Karawia, Abdelrahman [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 08期
关键词：
tridiagonal matrix; inverse matrix; determinants; computer algebra systems (CAS);
D O I：
10.1016/j.aml.2005.11.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the current work, the authors present a symbolic algorithm for finding the inverse of any general nonsingular tridiagonal matrix. The algorithm is mainly based on the work presented in [Y. Huang, W.F. McColl, Analytic inversion of general tridiagonal matrices, J. Phys. A 30 (1997) 7919-7933] and [M.E.A. El-Mikkawy, A fast algorithm for evaluating nth order tridiagonal determinants, J. Comput. Appl. Math. 166 (2004) 581-584]. It removes all cases where the numeric algorithm in [Y. Huang, W.F. McColl, Analytic inversion of general tridiagonal matrices, J. Phys. A 30 (1997) 7919-7933] fails. The symbolic algorithm is suited for implementation using Computer Algebra Systems (CAS) such as MACSYMA, MAPLE and MATHEMATICA. An illustrative example is given. (C) 2005 Elsevier Ltd. All rights reserved.
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页码：712 / 720
页数：9
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