Add to ORKGA roundoff error analysis of the Lagrange interpolation formula for evaluating polynomials is performed. We have taken into account that all steps but the last one can be computed to high relative accuracy. The exactness of the initial data is crucial for obtaining low error bounds. Related formulae are considered and numerical experiments are provided
AbstractIt is shown that for any n + 1 times continuously differentiable function f and any choice o...
We show how to derive error estimates between a function and its interpolating polynomial and betwe...
The interpolation errors of the higher order bivariate Lagrange polynomial interpolation based on th...
A roundoff error analysis of formulae for evaluating polynomials is performed. The considered formul...
AbstractSimple methods are presented to derive closed-form expressions for the errors involved in th...
Simple methods are presented to derive closed-form expressions for the errors involved in the Lagran...
AbstractIn this paper we study the quantities [formula] which define error bounds for the approximat...
The Lagrange representation of the interpolating polynomial can be rewritten in two more computation...
[[abstract]]A general interpolating formula and few particular corrected inter- polating polynomials...
We use Lagrange interpolation polynomials to obtain good gradient estimations. This is e.g. importan...
AbstractThe error propagation characteristics of the polynomial evaluation schemes of Horner, Clensh...
Abstract: We show how to derive error estimates between a function and its inter-polating polynomial...
AbstractThis paper will write equations of the round-off errors for a new direct solver of a system ...
summary:We present the error analysis of Lagrange interpolation on triangles. A new a priori error e...
In this paper we use Lagrange interpolation polynomials to obtain good gradient estimations.This is ...
AbstractIt is shown that for any n + 1 times continuously differentiable function f and any choice o...
We show how to derive error estimates between a function and its interpolating polynomial and betwe...
The interpolation errors of the higher order bivariate Lagrange polynomial interpolation based on th...
A roundoff error analysis of formulae for evaluating polynomials is performed. The considered formul...
AbstractSimple methods are presented to derive closed-form expressions for the errors involved in th...
Simple methods are presented to derive closed-form expressions for the errors involved in the Lagran...
AbstractIn this paper we study the quantities [formula] which define error bounds for the approximat...
The Lagrange representation of the interpolating polynomial can be rewritten in two more computation...
[[abstract]]A general interpolating formula and few particular corrected inter- polating polynomials...
We use Lagrange interpolation polynomials to obtain good gradient estimations. This is e.g. importan...
AbstractThe error propagation characteristics of the polynomial evaluation schemes of Horner, Clensh...
Abstract: We show how to derive error estimates between a function and its inter-polating polynomial...
AbstractThis paper will write equations of the round-off errors for a new direct solver of a system ...
summary:We present the error analysis of Lagrange interpolation on triangles. A new a priori error e...
In this paper we use Lagrange interpolation polynomials to obtain good gradient estimations.This is ...
AbstractIt is shown that for any n + 1 times continuously differentiable function f and any choice o...
We show how to derive error estimates between a function and its interpolating polynomial and betwe...
The interpolation errors of the higher order bivariate Lagrange polynomial interpolation based on th...