In mathematics, Birkhoff interpolation is an extension of polynomial interpolation. It refers to the problem finding a polynomial p of degree d such that Wikibooks Wikiversity has more about this subject: School of Mathematics Wikiquote has a collection of quotations by or about: Mathematics Look up Mathematics in Wiktionary, the free dictionary Wikimedia Commons has more media related to: Mathematics Bogomolny, Alexander: Interactive Mathematics Miscellany and Puzzles. ... In the mathematical subfield of numerical analysis, polynomial interpolation is the interpolation of a given data set by a polynomial. ...
where the data points (xi,yi) and the nonnegative integers ni are given. It differs from Hermite interpolation in that it is possible to specify derivatives of p at some points without specifying the lower derivates or the polynomial itself. Hermite interpolation is a method closely related to the Newton divided difference method of interpolation in numerical analysis, that allows us to consider given derivatives at data points, as well as the data points themselves. ...
References
G. Lorentz, K. Zeller, Birkhoff Interpolation, SIAM Journal on Numerical Analysis, volume 8, issue 1.
In mathematics, Birkhoffinterpolation is an extension of polynomial interpolation.
It differs from Hermite interpolation in that it is possible to specify derivatives of p at some points without specifying the lower derivates or the polynomial itself.
Lorentz, K. Zeller, BirkhoffInterpolation, SIAM Journal on Numerical Analysis, volume 8, issue 1.
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