Chinese Quarterly Journal of Mathematics ›› 1996, Vol. 11 ›› Issue (1): 86-99.

Previous Articles     Next Articles

Moore-Penrose Inverses and Group Inverses of Block k-Circulant Matrices

  

  1. Department of Mathematics  and Mechanics.Southeast  University,Nanjing,210018
  • Received:1994-01-04 Online:1996-03-30 Published:2025-02-27
  • Supported by:
    Partially  supported  by  the  Natural  Natural  Science  Foundation  of  China. 

Abstract: The  Moore-Penrose  inverse  of a  block  k-circulant  matrix  whose  blocks  are  arbitrary matrices  are  obtained  when  k  has  unit  modulus.In  the  meantime,explicit formulae for finding group inverses of certain specified k-circulant matrices are also given.

Key words: Moore-Penrose ,  inverse;group , inverse;block , k-circulant , matrix