DocumentCode
1597313
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
Volume
2
fYear
2010
Firstpage
67
Lastpage
71
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.
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Modeling and Simulation, 2010. ICCMS '10. Second International Conference on
Conference_Location
Sanya, Hainan
Print_ISBN
978-1-4244-5642-0
Type
conf
DOI
10.1109/ICCMS.2010.193
Filename
5421300
Link To Document