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ORCIDGeorge E. Collins
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Journal Articles
- 2017
[j31]George E. Collins:
On the maximum computing time of the bisection method for real root isolation. J. Symb. Comput. 79: 444-456 (2017)- 2016
- [j30]George E. Collins:
Continued fraction real root isolation using the Hong root bound. J. Symb. Comput. 72: 21-54 (2016) - 2015
- [j29]George E. Collins:
Krandick's proof of Lagrange's real root bound claim. J. Symb. Comput. 70: 106-111 (2015) - 2012
- [j28]George E. Collins, Werner Krandick:
On the computing time of the continued fractions method. J. Symb. Comput. 47(11): 1372-1412 (2012) - 2004
- [j27]George E. Collins:
Single-factor coefficient bounds. J. Symb. Comput. 38(6): 1507-1521 (2004) - 2002
- [j26]Scott McCallum
, George E. Collins:
Local Box Adjacency Algorithms for Cylindrical Algebraic Decompositions. J. Symb. Comput. 33(3): 321-342 (2002) - [j25]George E. Collins:
A Fast Euclidean Algorithm for Gaussian Integers. J. Symb. Comput. 33(4): 385-392 (2002) - [j24]George E. Collins, Jeremy R. Johnson, Werner Krandick:
Interval Arithmetic in Cylindrical Algebraic Decomposition. J. Symb. Comput. 34(2): 145-157 (2002) - 2001
- [j23]George E. Collins:
Polynomial Minimum Root Separation. J. Symb. Comput. 32(5): 467-473 (2001) - 1996
- [j22]George E. Collins, Mark J. Encarnación:
Improved Techniques for Factoring Univariate Polynomials. J. Symb. Comput. 21(3): 313-327 (1996) - 1995
- [j21]George E. Collins, Mark J. Encarnación:
Efficient Rational Number Reconstruction. J. Symb. Comput. 20(3): 287-297 (1995) - 1991
- [j20]George E. Collins, Hoon Hong:
Partial Cylindrical Algebraic Decomposition for Quantifier Elimination. J. Symb. Comput. 12(3): 299-328 (1991) - 1988
- [j19]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) - 1984
- [j18]Dennis S. Arnon, George E. Collins, Scott McCallum:
Cylindrical Algebraic Decomposition I: The Basic Algorithm. SIAM J. Comput. 13(4): 865-877 (1984) - [j17]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
- [j16]George E. Collins, Rüdiger G. K. Loos:
The Jacobi symbol algorithm. SIGSAM Bull. 16(1): 12-16 (1982) - [j15]Bruno Buchberger, George E. Collins, Rüdiger Loos, R. Albrecht:
Computer algebra symbolic and algebraic computation. SIGSAM Bull. 16(4): 5 (1982) - [j14]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) - 1977
- [j13]George E. Collins, David R. Musser:
Analysis of the Pope-Stein Division Algorithm. Inf. Process. Lett. 6(5): 151-155 (1977) - 1976
- [j12]George E. Collins:
Quantifier Elimination for Real Closed Fields by Cylindrical Algebraic Decomposition: a synopsis. SIGSAM Bull. 10(1): 10-12 (1976) - 1974
- [j11]George E. Collins, David R. Musser, Michael Rothstein:
SAC-1 solution of problem #7. SIGSAM Bull. 8(2): 17-19 (1974) - [j10]George E. Collins:
Quantifier elimination for real closed fields by cylindrical algebraic decomposition-preliminary report. SIGSAM Bull. 8(3): 80-90 (1974) - [j9]George E. Collins:
The Computing Time of the Euclidean Algorithm. SIAM J. Comput. 3(1): 1-10 (1974) - 1971
- [j8]George E. Collins:
The Calculation of Multivariate Polynomial Resultants. J. ACM 18(4): 515-532 (1971) - 1970
- [j7]George E. Collins, J. D. Halpern:
On the interpretability of arithmetic in set theory. Notre Dame J. Formal Log. 11(4): 477-483 (1970) - 1969
- [j6]George E. Collins:
Letters to the editor: comment on a paper by Ku and Adler. Commun. ACM 12(6): 302-303 (1969) - 1967
- [j5]George E. Collins:
Subresultants and Reduced Polynomial Remainder Sequences. J. ACM 14(1): 128-142 (1967) - 1966
- [j4]George E. Collins:
PM, a system for polynomial manipulation. Commun. ACM 9(8): 578-589 (1966) - 1964
- [j3]Gene Raichelson, George E. Collins:
A method for comparing the internal operating speeds of computers. Commun. ACM 7(5): 309-310 (1964) - 1960
- [j2]George E. Collins:
A method for overlapping and erasure of lists. Commun. ACM 3(12): 655-657 (1960) - 1954
- [j1]George E. Collins:
Distributivity and An Axiom of Choice. J. Symb. Log. 19(4): 275-277 (1954)
Conference and Workshop Papers
- 2000
- [c22]George E. Collins, Werner Krandick:
Multiprecision floating point addition. ISSAC 2000: 71-77 - 1996
- [c21]George E. Collins, Werner Krandick:
A Tangent-Secant Method for Polynomial Complex Root Calculation. ISSAC 1996: 137-141 - 1993
- [c20]George E. Collins, Werner Krandick:
A Hybrid Method for High Precision Calculation of Polynomial Real Roots. ISSAC 1993: 47-52 - 1992
- [c19]George E. Collins, Werner Krandick:
An Efficient Algorithm for Infallible Polynomial Complex Root Isolation. ISSAC 1992: 189-194 - 1990
- [c18]George E. Collins, Jeremy R. Johnson, Wolfgang Küchlin:
Parallel Real Root Isolation Using the Coefficient Sign Variation Method. CAP 1990: 71-87 - 1989
- [c17]George E. Collins, Jeremy R. Johnson:
Quantifier Elimination and the Sign Variation Method for Real Root Isolation. ISSAC 1989: 264-271 - 1988
- [c16]George E. Collins, Jeremy R. Johnson:
The Probability of Relative Primality of Gaussian Integers. ISSAC 1988: 252-258 - 1985
- [c15]George E. Collins:
The Euclidean Algorithm for Gaussian Integers (Abstract). Accurate Scientific Computations 1985: 182 - [c14]George E. Collins:
The SAC-2 Computer Algebra System. European Conference on Computer Algebra (2) 1985: 34-35 - [c13]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 - 1982
- [c12]George E. Collins:
Factorization in Cylindrical Algebraic Decomposition. EUROCAM 1982: 212-214 - 1979
- [c11]George E. Collins:
Factoring univariate integral polynomial in polynomial average time. EUROSAM 1979: 317-329 - 1976
- [c10]Joel Moses, Martin L. Griss, George E. Collins:
SIGSAM (Paper Session). ACM Annual Conference 1976: 424 - [c9]George E. Collins, Rüdiger Loos:
Polynomial real root isolation by differentiation. SYMSACC 1976: 15-25 - [c8]Bob F. Caviness, George E. Collins:
Algorithms for Gaussian integer arithmetic. SYMSACC 1976: 36-45 - [c7]George E. Collins, Alkiviadis G. Akritas:
Polynomial real root isolation using Descarte's rule of signs. SYMSACC 1976: 272-275 - 1975
- [c6]George E. Collins:
SIGSAM 2-Symbolic mathematical systems (Part II) and methods for symbolic and algebraic computation (Tutorial and papers). ACM Annual Conference 1975: 265 - [c5]George E. Collins:
Hauptvortrag: Quantifier elimination for real closed fields by cylindrical algebraic decomposition. Automata Theory and Formal Languages 1975: 134-183 - 1972
- [c4]Bob F. Caviness, George E. Collins:
Symbolic mathematical computation in a Ph.D. computer science program. SIGCSE 1972: 19-23 - 1971
- [c3]George E. Collins:
The SAC-1 system: An introduction and survey. SYMSAC 1971: 144-152 - [c2]George E. Collins:
The calculation of multivariate polynomial resultants. SYMSAC 1971: 212-222 - 1956
- [c1]George E. Collins:
The Tarski decision procedure. ACM National Meeting 1956: 162-164
Coauthor Index
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