On the Inverse Of General Cyclic Heptadiagonal Matrices

Abstract

In the current work, the author presents a symbolic algorithm for finding the determinant of any general nonsingular cyclic heptadiagonal matrices and the inverse of anti-cyclic heptadiagonal matrices. The algorithms are mainly based on the work presented in [A. A. Karawia, A New algorithm for inverting general cyclic heptadiagonal matrices recursively, arXiv:1011.2306v1, ICS/SCII]. The symbolic algorithms are suited for implementation using Computer Algebra Systems (CAS) such as MATLAB, MAPLE, and MATHEMATICA. An illustrative example is given.