An Analog of the Adjugate Matrix for the Outer Inverse AT,S-(2)

作者：Liu, Xiaoji^*; Zhu, Guangyan; Zhou, Guangping; Yu, Yaoming

来源：Mathematical Problems in Engineering, 2012, 591256.

DOI：10.1155/2012/591256

We investigate the determinantal representation by exploiting the limiting expression for the generalized inverse A(T,S)((2)). We show the equivalent relationship between the existence and limiting expression of A(T,S)((2)) and some limiting processes of matrices and deduce the new determinantal representations of A(T,S)((2)) based on some analog of the classical adjoint matrix. Using the analog of the classical adjoint matrix, we present Cramer rules for the restricted matrix equation AXB = D, R(X) subset of T, N(X) superset of (S) over tilde.

• 出版日期2012
• 单位广西民族大学