Summary: The authors present a new recursive symbolic computational algorithm, that will never break down, for inverting general periodic pentadiagonal and anti-pentadiagonal matrices. It is a natural generalization of the work presented in [M. E. A. El-Mikkawy
and E. D. Rahmo
, Appl. Math. Comput. 204, No. 1, 368–372 (2008; Zbl 1157.65338
)]. The algorithm is suited for implementation using computer algebra systems such as Mathematica, Macsyma and Maple. An illustrative example is given.