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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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:

[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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