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Transformations between Two-Variable Polynomial Bases with Applications |
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PP: 1303-1311 |
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doi:10.18576/amis/100409
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Author(s) |
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Dimitris Varsamis,
Nicholas Karampetakis,
Paris Mastorocostas,
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Abstract |
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| 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. Additionally,
a computational numerical application that illustrate the usefulness of the transformations between two-variable polynomial bases is
presented. |
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