A Synchronous Algorithm for Anti-circular Matrix Inversion

The anti-circular matrix is a special matrix, a simple and easy method for inversion is obtained under the presense of its inverse matrix in this paper. Only Aξ₀ is turned into unit matrix by using elementary transformation, the inversions of the anti-circular matrices Aξ₁(1≤i≤n-1) in which their elements are listed as -ξ_i、-ξ_i+1、…、-ξ_n-1、ξ₀、…、ξ_i-1can be calculated simultaneously, the numerical algorithms and examples are aslo given to verify the correctness of theories.