2004 |
34 | EE | George E. Collins:
Single-factor coefficient bounds.
J. Symb. Comput. 38(6): 1507-1521 (2004) |
2002 |
33 | EE | Scott McCallum,
George E. Collins:
Local Box Adjacency Algorithms for Cylindrical Algebraic Decompositions.
J. Symb. Comput. 33(3): 321-342 (2002) |
32 | EE | George E. Collins:
A Fast Euclidean Algorithm for Gaussian Integers.
J. Symb. Comput. 33(4): 385-392 (2002) |
31 | EE | George E. Collins,
Jeremy R. Johnson,
Werner Krandick:
Interval Arithmetic in Cylindrical Algebraic Decomposition.
J. Symb. Comput. 34(2): 145-157 (2002) |
2001 |
30 | | George E. Collins:
Polynomial Minimum Root Separation.
J. Symb. Comput. 32(5): 467-473 (2001) |
2000 |
29 | EE | George E. Collins,
Werner Krandick:
Multiprecision floating point addition.
ISSAC 2000: 71-77 |
1996 |
28 | EE | George E. Collins,
Werner Krandick:
A Tangent-Secant Method for Polynomial Complex Root Calculation.
ISSAC 1996: 137-141 |
27 | | George E. Collins,
Mark J. Encarnación:
Improved Techniques for Factoring Univariate Polynomials.
J. Symb. Comput. 21(3): 313-327 (1996) |
1995 |
26 | | George E. Collins,
Mark J. Encarnación:
Efficient Rational Number Reconstruction.
J. Symb. Comput. 20(3): 287-297 (1995) |
1993 |
25 | EE | George E. Collins,
Werner Krandick:
A Hybrid Method for High Precision Calculation of Polynomial Real Roots.
ISSAC 1993: 47-52 |
1992 |
24 | EE | George E. Collins,
Werner Krandick:
An Efficient Algorithm for Infallible Polynomial Complex Root Isolation.
ISSAC 1992: 189-194 |
1991 |
23 | | George E. Collins,
H. Hong:
Partial Cylindrical Algebraic Decomposition for Quantifier Elimination.
J. Symb. Comput. 12(3): 299-328 (1991) |
1990 |
22 | | George E. Collins,
Jeremy R. Johnson,
Wolfgang Küchlin:
Parallel Real Root Isolation Using the Coefficient Sign Variation Method.
CAP 1990: 71-87 |
1989 |
21 | EE | George E. Collins,
Jeremy R. Johnson:
Quantifier Elimination and the Sign Variation Method for Real Root Isolation.
ISSAC 1989: 264-271 |
1988 |
20 | | George E. Collins,
Jeremy R. Johnson:
The Probability of Relative Primality of Gaussian Integers.
ISSAC 1988: 252-258 |
19 | | Dennis S. Arnon,
George E. Collins,
Scott McCallum:
An Adjacency Algorithm for Cylindrical Algebraic Decompositions of Three-Dimensional Space.
J. Symb. Comput. 5(1/2): 163-187 (1988) |
1985 |
18 | | George E. Collins:
The Euclidean Algorithm for Gaussian Integers (Abstract).
Accurate Scientific Computations 1985: 182 |
17 | | Dennis S. Arnon,
George E. Collins,
Scott McCallum:
An Adjacency Algorithm for Cylindrical Algebraic Decompositions of Three-Dimensional Space.
European Conference on Computer Algebra (2) 1985: 246-261 |
16 | | George E. Collins:
The SAC-2 Computer Algebra System.
European Conference on Computer Algebra (2) 1985: 34-35 |
1984 |
15 | | Dennis S. Arnon,
George E. Collins,
Scott McCallum:
Cylindrical Algebraic Decomposition I: The Basic Algorithm.
SIAM J. Comput. 13(4): 865-877 (1984) |
14 | | Dennis S. Arnon,
George E. Collins,
Scott McCallum:
Cylindrical Algebraic Decomposition II: An Adjacency Algorithm for the Plane.
SIAM J. Comput. 13(4): 878-889 (1984) |
1982 |
13 | | George E. Collins:
Factorization in Cylindrical Algebraic Decomposition.
EUROCAM 1982: 212-214 |
12 | | Tsu-Wu J. Chou,
George E. Collins:
Algorithms for the Solution of Systems of Linear Diophantine Equations.
SIAM J. Comput. 11(4): 687-708 (1982) |
1979 |
11 | | George E. Collins:
Factoring univariate integral polynomial in polynomial average time.
EUROSAM 1979: 317-329 |
1977 |
10 | | George E. Collins,
David R. Musser:
Analysis of the Pope-Stein Division Algorithm.
Inf. Process. Lett. 6(5): 151-155 (1977) |
1975 |
9 | | George E. Collins:
Hauptvortrag: Quantifier elimination for real closed fields by cylindrical algebraic decomposition.
Automata Theory and Formal Languages 1975: 134-183 |
1974 |
8 | | George E. Collins:
The Computing Time of the Euclidean Algorithm.
SIAM J. Comput. 3(1): 1-10 (1974) |
1971 |
7 | EE | George E. Collins:
The Calculation of Multivariate Polynomial Resultants.
J. ACM 18(4): 515-532 (1971) |
1969 |
6 | EE | George E. Collins:
Letters to the editor: comment on a paper by Ku and Adler.
Commun. ACM 12(6): 302-303 (1969) |
1967 |
5 | EE | George E. Collins:
Subresultants and Reduced Polynomial Remainder Sequences.
J. ACM 14(1): 128-142 (1967) |
1966 |
4 | EE | George E. Collins:
PM, a system for polynomial manipulation.
Commun. ACM 9(8): 578-589 (1966) |
1964 |
3 | EE | Gene Raichelson,
George E. Collins:
A method for comparing the internal operating speeds of computers.
Commun. ACM 7(5): 309-310 (1964) |
1960 |
2 | EE | George E. Collins:
A method for overlapping and erasure of lists.
Commun. ACM 3(12): 655-657 (1960) |
1954 |
1 | | George E. Collins:
Distributivity and An Axiom of Choice.
J. Symb. Log. 19(4): 275-277 (1954) |