Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Numerically determining solutions of systems of polynomial equations
HTML articles powered by AMS MathViewer

by T. Y. Li, Tim Sauer and James A. Yorke PDF
Bull. Amer. Math. Soc. 18 (1988), 173-177
References
  • Eugene Allgower and Kurt Georg, Simplicial and continuation methods for approximating fixed points and solutions to systems of equations, SIAM Rev. 22 (1980), no. 1, 28–85. MR 554709, DOI 10.1137/1022003
  • Shui Nee Chow, John Mallet-Paret, and James A. Yorke, A homotopy method for locating all zeros of a system of polynomials, Functional differential equations and approximation of fixed points (Proc. Summer School and Conf., Univ. Bonn, Bonn, 1978) Lecture Notes in Math., vol. 730, Springer, Berlin, 1979, pp. 77–88. MR 547982
  • Franz-Josef Drexler, Eine Methode zur Berechnung sämtlicher Lösungen von Polynomgleichungssystemen, Numer. Math. 29 (1977/78), no. 1, 45–58 (German, with English summary). MR 483386, DOI 10.1007/BF01389312
  • C. B. García and W. I. Zangwill, Finding all solutions to polynomial systems and other systems of equations, Math. Programming 16 (1979), no. 2, 159–176. MR 527572, DOI 10.1007/BF01582106
  • Tien-Yien Li, On Chow, Mallet-Paret and Yorke homotopy for solving system of polynomials, Bull. Inst. Math. Acad. Sinica 11 (1983), no. 3, 433–437. 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.
Similar Articles
  • Retrieve articles in Bulletin of the American Mathematical Society with MSC (1985): 65H10, 90B99, 65H15
  • Retrieve articles in all journals with MSC (1985): 65H10, 90B99, 65H15
Additional Information
  • Journal: Bull. Amer. Math. Soc. 18 (1988), 173-177
  • MSC (1985): Primary 65H10, 90B99, 65H15
  • DOI: https://doi.org/10.1090/S0273-0979-1988-15639-X
  • MathSciNet review: 929095