There is no uspensky's method

Proceedings of the 5th ACM Symposium on Symbolic and Algebraic Computation, SYMSAC 1986

Volumn , Issue , 1986, Pages 88-90

  Akritas, Alkiviadis G ^a  

^a UNIVERSITY OF KANSAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

POLYNOMIALS;

COMPUTING TIME; POLYNOMIAL EQUATION; RATIONAL COEFFICIENTS; REAL ROOTS;

COMPUTATION THEORY;

EID: 85048851497     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/32439.32457     Document Type: Conference Paper

References (10)

1. [l] Collins, G.E. and R. Loos: Real Zeros of Polynomials. In: Computer Algebra, Symbolic and Algebraic Computations. Edited by B. Buchberger, G.E. Collins and R. Loos, Springer Verlag, Wien, New York, 83-95, 1982.
2. Uspensky, J.V.: Theory of Equations. McGraw-Hill Co., New York 1948.
3. Akritas, A.G.: Reflections on a pair of theorems by Budan and Fourier. Mathematics Magazine, Vol. 55, No. 5, 292-298, 1982.
4. Vincent, A.J.H.: Sur la r&solution des Gquations numbriques. Journal de Mathgmatiques Pures et Appliqu&es, Vol. 1, 341-372, 1836
5. Akritas, A.G.: An implementation of Vincent's theorem. Numerische Mathematik, Vol. 36, 53-62, 1980.
6. Cajori, F.: A history of the arithmetical methods of approximation to the roots of numerical equations of one unknown quantity. Colorado College Publications, General Series No. 51, Science Series Vo. XII, no. 7, Colorado Springs, CO., 171-215, 1910.
7. Akritas, A.G. and S.D. Danielopoulos: On the forgotten theorem of Mr. Vincent. Historia Mathematica, Vol. 5, 427-435, 1978.
8. Akritas, A.G.: There is no "Uspensky's Method". TR-86-10, University of Kansas, Department of Computer Science, Lawrence KS 66045, 1986.
9. Collins, G.E. and A.G. Akritas: Polynomial real root isolation using Descartes' rule of signs. Proceedings of the 1976 ACM Symposium on Symbolic and Algebraic Computations. Yorktown Heights, N.Y., 272-275, 1976.
10. Akritas, A.G.: A remark on the proposed Syllabus for an AMS short course on Computer Algebra. ACM-SIGSAM Bulletin, Vol. 14, No. 2, 24-25, 1980.