New proofs of two representations and minor of generalized inverse AT,S ((2))

作者：Sheng, Xingping^*; Chen, Guoliang

来源：Applied Mathematics and Computation, 2011, 217(13): 6309-6314.

DOI：10.1016/j.amc.2011.01.003

• Generalized inverse A(T,S)((2))
• Limit representation
• Minor
• Determinantal representation
• Convex combination

In this paper, we prove the limit representation for the generalized inverse A(T,S)((2)) of a given complex matrix A in a simpler way. Then, using this representation, two known results, the generalized inverse A(T,S)((2)) as an analogs of convex combination with the minor of adjA and the representation of the minor of the generalized inverse A(T,S)((2)), were derived anew. As a special case of the minor, a determinantal representation of the generalized inverse A(T,S)((2)) is obtained.

• 出版日期2011-3-1
• 单位阜阳师范学院; 华东师范大学