@Article{Delgado:2015:APO, author = "Jorge Delgado and Juan Manuel Pe{\~n}a", title = "Algorithm XXX: POLYNOMIAL: An object-oriented Matlab library of fast and efficient algorithms for polynomials", journal = "{ACM} Transactions on Mathematical Software", accepted = "7 August 2015", upcoming = "true", abstract = " The design and implementation of a Matlab object-oriented software library for working with polynomials is presented. The construction and evaluation of polynomials in Bernstein form are motivated and justified. Efficient constructions for the coefficients of a polynomial in Bernstein form when the polynomial is not given with this representation are provided. The presented adaptive evaluation algorithm uses VS (Volk and Schumaker) algorithm, de Casteljau algorithm and a compensated VS algorithm. In addition, we have completed the library with other algorithms to perform other usual operations with polynomials in Bernstein form.", }