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Issue No.04 - July/August (2006 vol.26)
pp: 90-100
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.
Blinn, cubic equations
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, doi:10.1109/MCG.2006.81
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.
3. C. Loop and J.F. Blinn, Real-Time GPU Rendering of Piecewise Algebraic Surfaces, to be published in Proc. Siggraph, ACM Press, 2006.
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.
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