How to solve a cubic equation, Part 2: The 11 case

IEEE Computer Graphics and Applications

Volumn 26, Issue 4, 2006, Pages 90-100

  Blinn, James F ^a  

^a MICROSOFT RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; ITERATIVE METHODS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; POLYNOMIALS;

CLOSED-FORM SOLUTION; CUBIC EQUATION; CUBIC POLYNOMIALS; HESSIAN POLYNOMIAL; TRANSFORMATION MATRIX;

PROBLEM SOLVING;

ALGORITHM; ARTICLE; COMPUTER GRAPHICS; COMPUTER SIMULATION; MATHEMATICAL COMPUTING; MATHEMATICS; THEORETICAL MODEL;

ALGORITHMS; COMPUTER GRAPHICS; COMPUTER SIMULATION; MATHEMATICS; MODELS, THEORETICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED;

EID: 33746085984     PISSN: 02721716     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCG.2006.81     Document Type: Article

References (8)

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 Recepies in C++, Cambridge Univ. Press, 2002, pp. 190-191.