%0 Journal Article %A Dimitris Varsamis and Nicholas Karampetakis %D 2014 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 94, 2014 %T Transformations between Bivariate Polynomial Bases %U https://publications.waset.org/pdf/9999520 %V 94 %X It is well known, that any interpolating polynomial p (x, y) on the vector space Pn,m of two-variable polynomials with degree less than n in terms of x and less than m in terms of y, has various representations that depends on the basis of Pn,m that we select i.e. monomial, Newton and Lagrange basis e.t.c.. The aim of this short note is twofold : a) to present transformations between the coordinates of the polynomial p (x, y) in the aforementioned basis and b) to present transformations between these bases. %P 1307 - 1310