How to characterize commutativity equalities for Drazin inverses of matrices
Tian, Yong Ge
Archivum Mathematicum, Tome 039 (2003), p. 191-199 / Harvested from Czech Digital Mathematics Library
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Necessary and sufficient conditions are presented for the commutativity equalities $A^*A^D = A^DA^*$, $A^{\dag }A^D = A^DA^{\dag }$, $A^{\dag }AA^D = A^DAA^{\dag }$, $AA^DA^* = A^*A^DA$ and so on to hold by using rank equalities of matrices. Some related topics are also examined.

Publié le : 2003-01-01
Classification:  15A03,  15A09,  15A27 
@article{107866,
     author = {Yong Ge Tian},
     title = {How to characterize commutativity equalities for Drazin inverses of matrices},
     journal = {Archivum Mathematicum},
     volume = {039},
     year = {2003},
     pages = {191-199},
     zbl = {1122.15300},
     mrnumber = {2010720},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107866}
}

Tian, Yong Ge. How to characterize commutativity equalities for Drazin inverses of matrices. Archivum Mathematicum, Tome 039 (2003) pp. 191-199. http://gdmltest.u-ga.fr/item/107866/

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