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Singular M-matrices and inverse positivity |
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| Authors: | C.D. Meyer M.W. Stadelmaier |
| Affiliation: | Department of Mathematics North Carolina State University Raleigh, North Carolina 27607 USA |
| Abstract: | For a matrix decomposable as A=sI?B, where B?0, it is well known that A?1?0 if and only if the spectral radius ρ(B)>s. An extension of this result to the singular case ρ(B)=s is made by replacing A?1 by [A+t(I?AAD)]?1, where AD is the Drazin generalized inverse. |
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