%0 Journal Article %T An introduction to numerical methods in low-dimensional quantum systems %A Malvezzi %A Andr¨¦ Luiz %J Brazilian Journal of Physics %D 2003 %I Scientific Electronic Library Online %R 10.1590/S0103-97332003000100004 %X this is an introductory course to the lanczos method and density matrix renormalization group algorithms (dmrg), two among the leading numerical techniques applied in studies of low-dimensional quantum models. the idea of studying the models on clusters of a finite size in order to extract their physical properties is briefly discussed. the important role played by the model symmetries is also examined. special emphasis is given to the dmrg. %U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S0103-97332003000100004&lng=en&nrm=iso&tlng=en