A new recursive algorithm for inverting general k-tridiagonal matrices

作者：El Mikkawy Moawwad^*; Atlan Faiz

来源：Applied Mathematics Letters, 2015, 44: 34-39.

DOI：10.1016/j.aml.2014.12.018

• k-Tridiagonal matrices
• LU factorization
• Matrix inversion
• Computer Algebra Systems
• Recursion

In the present article we give a new breakdown-free recursive algorithm for inverting general k-tridiagonal matrices without imposing any simplifying assumptions. The implementation of the algorithm in Computer Algebra Systems (CAS) such as Maple, Mathematica and Macsyma is straightforward. Two illustrative examples are given.

• 出版日期2015-6