an analog of the adjugate matrix for the outer inverse at,s(2)
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2012
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Abstract
We investigate the determinantal representation by exploiting the limiting expression for the generalized inverse AT,S(2). We show the equivalent relationship between the existence
and limiting expression of AT,S(2) and some limiting processes of matrices and deduce the new determinantal
representations of AT,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)⊂T, N(X)⊃S∼.
| Reference Key |
liu2012mathematicalan
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|---|---|
| Authors | ;Xiaoji Liu;Guangyan Zhu;Guangping Zhou;Yaoming Yu |
| Journal | journal of power sources |
| Year | 2012 |
| DOI |
10.1155/2012/591256
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| URL | |
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