@article {Barabe:January 2007:0020-739X:1051, author = "Barabe, Samuel", author = "Dubeau, Franc", title = "Synthetic division and matrix factorization", journal = "International Journal of Mathematical Education in Science and Technology", volume = "38", year = "January 2007", abstract = "Synthetic division is viewed as a change of basis for polynomials written under the Newton form. Then, the transition matrices obtained from a sequence of changes of basis are used to factorize the inverse of a bidiagonal matrix or a block bidiagonal matrix.", pages = "1051-1064(14)", url = "http://www.ingentaconnect.com/content/tandf/tmes/2007/00000038/00000008/art00004" doi = "doi:10.1080/00207390601002963" }