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Collins, George
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Improved techniques for factoring univariate polynomials
Collins G. (ed), Encarnación M. Journal of Symbolic Computation 21(3): 313-327, 1996. Type: Article
The main part of this paper describes extensions to the work of Wang [1] and Miola and Yun [2] on the derivation of integer factors for univariate polynomials. A new algorithm is derived, and its performance is compared to that of prev...
...
Jul 1 1997
Cylindrical algebraic decomposition I: the basic algorithm
Arnon D., Collins G. (ed), McCallum S. SIAM Journal on Computing 13(4): 865-877, 1984. Type: Article
A set of polynomials in
r
variables defines a decomposition of
r
-dimensional space into connected sets so that each polynomial has constant sign (positive, negative, or zero) on each set. Calculation of such decomposition...
...
Oct 1 1985
Cylindrical algebraic decomposition II: an adjacency algorithm for the plane
Arnon D., Collins G. (ed), McCallum S. SIAM Journal on Computing 13(4): 878-889, 1984. Type: Article
This paper addresses the problem of determining the adjacency relations among the cells of a cylindrical algebraic decomposition (cad). (See the review of [1] for the terminology.) This information is important in several applications....
...
Oct 1 1985
Real zeroes of polynomials
Collins G. (ed), Loos R., Springer-Verlag New York, Inc., New York, NY, 1983. Type: Book (9780387817767)
The authors examine several algorithms for isolating real zeros of polynomials. These algorithms are classified as algebraic, rather than numerical. They compute exactly a sequence of disjoint intervals with rational endpoints, each of...
...
Jun 1 1985
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