The running error bounds can be used to estimate the accuracy of the computed coefficients “on the fly,” and they tend to be less pessimistic than the roundoff ...
Running relative error for evaluating polynomials is analyzed and applied to different evaluation algorithms: Horner, VS, de Casteljau, and Clenshaw algorithms.
Oct 22, 2024 · Running relative error for evaluating polynomials is analyzed and applied to different evaluation algorithms: Horner, VS, de Casteljau, ...
Running relative error for evaluating polynomials is analyzed and applied to dierent evaluation algorithms: Horner, VS, de Casteljau, and Clenshaw algorithms.
Running Relative Error for the Evaluation of Polynomials. Delgado, Jorge; ;; Peña, J. M.. Abstract. Publication: SIAM Journal on Scientific Computing.
Running relative error for evaluating polynomials is analyzed and applied to different evaluation algorithms: Horner, VS, de Casteljau, and Clenshaw ...
Oct 6, 2010 · If ϕ is the best approximation to 1 in V, then q⋅ϕ will be a best approximation to f of degree n+degree(q) in the relative error sense. Share.
Missing: Running Evaluation
The mathematical formula for calculating the percent relative error is as follows: % relative error = ( | y e x a c t − y a p p r o x | | y e x a c t | ) × 100 ...
In floating-point representation, the errors are relative. Let 𝑓𝜀 be the polynomial obtained by adding a relative error bounded by 𝜀 on the coefficients ...
Our progress relies on reducing the evaluation and interpolation tasks to computations with structured matrices, transformation of matrix structures, and ...