The existence determination and calculation of the inverse of block triangular matrices
The determination of reversibility of block triangular matrices and the representation of inverse matrices are studied.Firstly,using the properties of block elementary matrices,the invertible conditions and inverse matrix representation of block upper(lower)triangular matrices are given.Then,based on the properties of permutation matrices,the invertible conditions and inverse matrix representation of block upper(lower)triangular matrices are obtained.Finally,an example is given to verify the proposed algorithm.
万方数据
维普
