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A new recursive algorithm for inverting general periodic sevendiagonal and anti-sevendiagonal matrices. (English) Zbl 1296.65049
Summary: The inverse of a sevendiagonal (anti-sevendiagonal) matrix is investigated by employing the special structure and the LU decompositions of the sevendiagonal matrix. We present a new recursive algorithm for inverting general periodic sevendiagonal and anti-sevendiagonal matrices. The algorithm is suited for implementation using computer algebra systems such as Mathematica, Macsyma, Matlab and Maple. The effectiveness of the approach is demonstrated by a numerical example.
MSC:
65F05 Direct numerical methods for linear systems and matrix inversion
65F50 Computational methods for sparse matrices
68W30 Symbolic computation and algebraic computation
65Y10 Numerical algorithms for specific classes of architectures
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