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Numerically determining solutions of systems of polynomial equations
Author(s):
T. Y.
Li;
Tim
Sauer;
James A.
Yorke
Journal:
Bull. Amer. Math. Soc.
18
(1988),
173-177.
MSC (1985):
Primary 65H10, 90B99, 65H15
MathSciNet review:
929095
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References |
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Additional information
References:
- [AG] E. Allgower and K. Georg, Simplicial and continuation methods for approximating fixed points and solutions to systems of equations, SIAM Review 22 (1980), 28-85. MR 554709
- [CMY] S. N. Chow, J. Mallet-Paret and J. Yorke, A homotopy method for locating all zeroes of a system of polynomials, Functional Differential Equations and Approximation of Fixed Points (H. O. Peitgen and H. O. Walter, eds.), Lecture Notes in Math., vol. 730, Springer-Verlag, Berlin and New York, 1979, pp. 77-88. MR 547982
- [D] F. Drexler, Eine Methode zur Berechnung Samlischer Losungen von Polynomgleichungssystemen, Numer. Math. 29 (1977), 45-58. MR 483386
- [GZ] C. B. Garcia and W. I. Zangwill, Finding all solutions to polynomial systems and other systems of equations, Math. Programming 16 (1979), 159-176. MR 527572
- [L] T. Y. Li, On Chow, Mallet-Paret and Yorke homotopy for solving systems of polynomials, Bull. Inst. Math. Acad. Sinica 11 (1983), 433-473. MR 726989
- [MT] A. P. Morgan and L.-W. Tsai, Solving the kinematics of the most general six- and five-degree-of-freedom manipulators by continuation methods, ASME J. of Mechanisms, Transmissions and Automation in Design 107 (1985), 48-57.
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Additional Information:
DOI:
10.1090/S0273-0979-1988-15639-X
PII:
S 0273-0979(1988)15639-X
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