On the Inverting of a General Heptadiagonal Matrix
A. A. Karawia *
Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt and Computer Science Unit, Deanship of Educational Services, Qassim University, P.O.Box 6595, Buraidah 51452, Saudi Arabia.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the author presents a new algorithm computing the inverse of any nonsingular heptadiagonal matrix. The computational cost of our algorithms is O(n2) operations in 
. The algorithms are suitable for implementation using computer algebra system such as MAPLE, MATLAB and MATHEMATICA. Examples are given to illustrate the efficiency of the algorithms.
Keywords: Heptadiagonal matrices, LU factorization, Determinants, Computer algebra systems(CAS)Q