Title :
Notice of Retraction
Accurate Evaluation the Derivative of a Polynomial
Author :
Ji-Chao Ding ; Hao Jiang
Author_Institution :
Sch. of Sci., Nat. Univ. of Defense Technol., Changsha, China
Abstract :
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
This paper presents an accurate compensated algorithm to evaluate the derivative of a polynomial with floating point coefficients. The algorithm is based on Horner method, utilizes error-free transformation technique to note rounding errors and compensates the straightforward evaluation in the end. Theoretical analysis and numerical experiments illustrate that our algorithm can provide last-bit accuracy.
Keywords :
CAD; computational geometry; polynomials; Horner method; error-free transformation technique; floating point coefficients; note rounding errors; polynomial derivative; Algorithm design and analysis; Computational modeling; Computer errors; Computer simulation; Error analysis; Floating-point arithmetic; Paper technology; Polynomials; Roundoff errors; Testing; IEEE-754 standard; compensated Horner derivative algorithm; error-free transformation; floating point arithmetic; round-off error;
Conference_Titel :
Computer Modeling and Simulation, 2010. ICCMS '10. Second International Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-1-4244-5642-0
DOI :
10.1109/ICCMS.2010.193
