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How to Solve a Cubic Equation, Part 2: The 11 Case
July/August 2006 (vol. 26 no. 4)
pp. 90-100
ASCII Text
x 
 
James F. Blinn, "How to Solve a Cubic Equation, Part 2: The 11 Case," IEEE Computer Graphics and Applications, vol. 26, no. 4, pp. 90-100, July/August, 2006.
 
 
BibTex
x
 
@article{ 10.1109/MCG.2006.81,
author = {James F. Blinn},
title = {How to Solve a Cubic Equation, Part 2: The 11 Case},
journal ={IEEE Computer Graphics and Applications},
volume = {26},
number = {4},
issn = {0272-1716},
year = {2006},
pages = {90-100},
doi = {http://doi.ieeecomputersociety.org/10.1109/MCG.2006.81},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - MGZN
JO - IEEE Computer Graphics and Applications
TI - How to Solve a Cubic Equation, Part 2: The 11 Case
IS - 4
SN - 0272-1716
SP90
EP100
EPD - 90-100
A1 - James F. Blinn,
PY - 2006
KW - Blinn
KW - cubic equations
VL - 26
JA - IEEE Computer Graphics and Applications
ER -
 
James F. Blinn, Microsoft Research
Jim Blinn discusses a good practical closed-form solution process for cubic equations and makes some observations about the relation between iterative and closed-form solutions.

1. M. Livio, The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry, Simon and Schuster, 2005.
2. F. Acton, Real Computing Made Real, Princeton Univ. Press, 1996, pp. 29–32.
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4. J.F. Blinn, Jim Blinn's Corner: Notation, Notation, Notation, Morgan Kauffman, 2003, pp. 262–263.
5. J.F. Blinn, "How to Solve a Quadratic Equation," IEEE Computer Graphics and Applications, vol. 25, no. 6, pp. 76–79.
6. N.J. Higham, Accuracy and Stability of Numerical Algorithms, SIAM, 2002, pp. 479–481.
7. D. Herbison-Evans, "Solving Quartics and Cubics for Graphics," Graphics Gems V, A.W. Paeth, ed., AP Professional, 1995, pp. 11–12.
8. W.H. Press et al., Numerical Recipes in C++, Cambridge Univ. Press, 2002, pp. 190–191.

Index Terms:
Blinn, cubic equations
Citation:
James F. Blinn, "How to Solve a Cubic Equation, Part 2: The 11 Case," IEEE Computer Graphics and Applications, vol. 26, no. 4, pp. 90-100, July-Aug. 2006, doi:10.1109/MCG.2006.81
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