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Solving polynomial systems for curve, surface and solid modeling
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Source ACM Symposium on Solid and Physical Modeling archive
Proceedings on the second ACM symposium on Solid modeling and applications table of contents
Montreal, Quebec, Canada
Pages: 169 - 178  
Year of Publication: 1993
ISBN:0-89791-584-4
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SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
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ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
ABB+92
 
AS86
W. Auzinger and H.J. Stetter. An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations. In International Series of Numerical Mathematics, volume 86, pages 11-30, 1986.
 
BDM89
Z. Bai, J. Demmel, and A. McKenney. On the conditioning of the nonsymmetric eigenproblem: Theory and software. Computer Science Dept. Technical Report 469, Courant Institute, New York, NY, October 1989. (LA- PACK Working Note # 13).
 
Ber75
D.N. Bernshtein. The number of roots of a system of equations. Funktsional'nyi A noliz i Ego Prilozheniila, 9(3):1-4, 1975.
 
BGW88
C. Bajaj, T. Garrity, and J. Warren. On the applications of multi-equational resultants. Technical Report CSD-TR-826, Department of Computer Science, Purdue University, 1988.
 
Can88
 
CE93
 
Cra89
 
Dix08
A.L. Dixon. The eliminant of three qualities in two independent variables. Proceedings of London Mathematical Society, 6:49-69, 209-236, 1908.
 
GKZ90
I.M. Gelfand, M.M. Kapranov, and A.V. Zelevinsky. Newton polytopes of the cl.x~sical resultant and discriminant. Advances in Mathematics, 84:237-254, 1990.
 
GL89
G.H. Golub and C.F. Van Loan. Matrix Computations. John Hopkins Press, Baltimore, 1989.
 
GLR82
I. Gohberg, P. Lancaster, and L. R odman. Matrix Polynomials. Academic Press, New York, 1982.
Gol91
 
Hof89
 
Hof90
Kaj82
Kra91
 
LBD+92
 
Mac02
F.S. Macaulay. On some formula in elimination. Proceedings ojf London Mathematical Society, pages 3-27, May 1902.
 
Man92
 
MC27
F. Morley and A.B. Cable. New results in elimination. American Journal of Mathematics, 49:463-488, 1927.
 
MC91
D. Manocha and J.F. Canny. A new approach for surface intersection. International Journal of Computational Geometry and Applications, 1(4):491--516, 1991. Special issue on Solid Modeling.
 
MD92
 
Mor92
A.P. Morgan. Polynomial continuation and its relationship to the symbolic reduction of polynomial systems. In Symbolic and Numerical Computation for Artificial Intelligence, pages 23-45, 1992.
NSK90
Owe91
 
RR92
 
Sal85
G. Salmon. Lessons lntroducto~ to the Modern Higher Algebra. G.E. Stechert & Co., New York, 1885.
 
Sed83
 
SP86
 
Ste76
G.W. Stewaxt. Simultaneous iteration for computing invaxiant subspaces of non-hermitian m~trices. Numerische Mathematik, 25:123- 136, 1976.
 
Stu91
B. Sturmfels. Spaxse elimination theory. In D. Eisenbud and L. Robbiano, editors, Compu. tational Algebraic Geomet~ and Commutative Algebra. Cambridge University Press, 1991.
 
SZ92
B. Sturmfels and A. Zelevinsky. Multigraded resultants of sylvester type. Journal of Algebra, 1992.
 
Wil59
J.H. Wilkinson. The evaluation of the zeros of ill-conditioned polynomials, parts i and ii. Numer. Math., 1:150-166 and 167-180, 1959.


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