TY - JOUR T1 - A New Algorithm for Computing the Inverse and Generalized Inverse of the Scaled Factor Circulant Matrix AU - Zhaolin Jiang & Zongben Xu JO - Journal of Computational Mathematics VL - 1 SP - 112 EP - 122 PY - 2008 DA - 2008/02 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8614.html KW - Scaled factor circulant matrix, Inverse, Group inverse, Moore-Penrose inverse. AB -
A new algorithm for finding the inverse of a nonsingular scaled factor circulant matrix is presented by the Euclid's algorithm. Extension is made to compute the group inverse and the Moore-Penrose inverse of the singular scaled factor circulant matrix. Numerical examples are presented to demonstrate the implementation of the proposed algorithm.