On the continuity of several kinds of matrices inverse
Ting‐Zhu Huang · 2009
The inverse of a nonsingular matrix is a continuous function of the elements of the matrix. The continuity of the generalized inverse A+ of a matrix A was also investigated by scholars. In this paper,applying matrices splitting and the expansion of inverse of sum of two matrices,the continuity of matrices inverse,such as general nonsingular matrices,M-matrices and H-matrices,respectively,is provided. Inverses of these matrices are continuous when some reasonable conditions are satisfied.