SIAM Journal on Numerical Analysis, Vol. 37, No. 3 (Feb. - Mar., 2000), pp. 772-798 (27 pages) A Newton-type approach is used to deal with bivariate polynomial Hermite interpolation problems when the ...
General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...
Some definitions on stability of interpolating process are given and then the sufficient and necessary conditions are obtained. On this basis, we conclude that the Lagrange interpolation is unstable, ...
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