%0 Journal Article %T Iterated Aluthge transforms: a brief survey %A Antezana %A Jorge %A Pujals %A Enrique R. %A Stojanoff %A Demetrio %J Revista de la Uni£¿3n Matem£¿£¿tica Argentina %D 2008 %I Uni¨®n Matem¨¢tica Argentina %X given an r ¡Á r complex matrix t, if is the polar decomposition of t, then the aluthge transform is defined by let denote the n-times iterated aluthge transform of t, i.e. and , . in this paper we make a brief survey on the known properties and applications of the aluthge trasnsorm, particularly the recent proof of the fact that the sequence converges for every r ¡Á r matrix t. this result was conjectured by jung, ko and pearcy in 2003. %K aluthge transform %K stable manifold theorem %K similarity orbit %K polar decomposition. %U http://www.scielo.org.ar/scielo.php?script=sci_abstract&pid=S0041-69322008000100004&lng=en&nrm=iso&tlng=en