A Generalization of the SMW Formula of Operator A plus YGZ* to the {2}-Inverse Case

作者：Duan Yingtao^*

来源：Abstract and Applied Analysis, 2013, 2013: 694940.

DOI：10.1155/2013/694940

The classical Sherman-Morrison-Woodbury (for short SMW) formula (A + YGZ*)(-1) = A(-1) - A(-1)Y(G(-1) + Z*A(-1)Y)(-1)Z*A(-1) is generalized to the {2}-inverse case. Some sufficient conditions under which the SMW formula can be represented as (A + YGZ*)(-) = A(-) - A(-)Y(G(-) + Z*A(-)Y)(-)Z*A(-) are obtained.

• 出版日期2013
• 单位岭南师范学院