%0 Journal Article %T An introduction to numerical methods in low-dimensional quantum systems %A Malvezzi Andr¨¦ Luiz %J Brazilian Journal of Physics %D 2003 %I Scientific Electronic Library Online %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_arttext&pid=S0103-97332003000100004