-
1
-
-
0013453253
-
-
Algorithms and Complexity: New Directions and Recent Results (J. F. Traub, ed.), Academic Press, New York
-
R. P. Brent, Analysis of the binary Euclidean algorithm, Algorithms and Complexity: New Directions and Recent Results (J. F. Traub, ed.), Academic Press, New York, 1976, pp. 321-355.
-
(1976)
Analysis of the binary Euclidean algorithm
, pp. 321-355
-
-
Brent, R.P.1
-
2
-
-
0003466442
-
-
Foundations of Computing, MIT Press, Cambridge, MA, USA
-
E. Bach and J. Shallit, Algorithmic Number Theory, Volume I: Efficient Algorithms, Foundations of Computing, MIT Press, Cambridge, MA, USA, 1996.
-
(1996)
Algorithmic Number Theory, Volume I: Efficient Algorithms
-
-
Bach, E.1
Shallit, J.2
-
4
-
-
85032117125
-
-
Proceedings of the ACM Symposium on Symbolic and Algebraic Computation, Yorktown Heights
-
B. F. Caviness and G. E. Collins, Algorithms for Gaussian Integer Arithmetic, Proceedings of the ACM Symposium on Symbolic and Algebraic Computation, Yorktown Heights (1976), 36-45.
-
(1976)
Algorithms for Gaussian Integer Arithmetic
, pp. 36-45
-
-
Caviness, B.F.1
Collins, G.E.2
-
5
-
-
0003717547
-
-
second ed, Cambridge University Press, New York, Books III IX
-
T. L. Heath, The Thirteen Books of Euclid’s Elements, second ed., vol. 2, Cambridge University Press, New York, 1956, Books III IX.
-
(1956)
The Thirteen Books of Euclid’s Elements
, vol.2
-
-
Heath, T.L.1
-
6
-
-
0003831933
-
-
second ed., Graduate Texts in Mathematics, Springer-Verlag, Berlin, Heidelberg, New York
-
K. Ireland and M. Rosen, A Classical Introduction to Modern Number Theory, second ed., Graduate Texts in Mathematics, vol. 84, Springer-Verlag, Berlin, Heidelberg, New York, 1990.
-
(1990)
A Classical Introduction to Modern Number Theory
, vol.84
-
-
Ireland, K.1
Rosen, M.2
-
7
-
-
77749315818
-
-
ISSAC’93: Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation (New York) (M. Bronstein, ed.), ACM Press
-
T. Jebelean, A Generalization of the Binary GCD Algorithm, ISSAC’93: Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation (New York) (M. Bronstein, ed.), ACM Press, 1993, pp. 111116.
-
(1993)
A Generalization of the Binary GCD Algorithm
, pp. 111116
-
-
Jebelean, T.1
-
8
-
-
0004285345
-
-
third ed., The Art of Computer Programming, Addison-Wesley, Reading, MA, USA
-
D. E. Knuth, Seminumerical Algorithms, third ed., The Art of Computer Programming, vol. 2, Addison-Wesley, Reading, MA, USA, 1998.
-
(1998)
Seminumerical Algorithms
, vol.2
-
-
Knuth, D.E.1
-
9
-
-
85032068767
-
Computing Greatest Common Divisors and Tactorizations in Quadratic Number Tields
-
E. Kaltofen and H. Rolletschek, Computing Greatest Common Divisors and Tactorizations in Quadratic Number Tields, Math. Comp. 53 (1989), no. 188, 697-720.
-
(1989)
Math. Comp
, vol.53
, Issue.188
, pp. 697-720
-
-
Kaltofen, E.1
Rolletschek, H.2
-
10
-
-
0002989263
-
Euclid’s Algorithm for Large Numbers
-
Monthly
-
D. H. Lehmer, Euclid’s Algorithm for Large Numbers, Amer. Math. Monthly 45 (1938), 227-233.
-
(1938)
Amer. Math
, vol.45
, pp. 227-233
-
-
Lehmer, D.H.1
-
14
-
-
0032185250
-
Efficient Algorithms for Computing the Jacobi Symbol
-
S. M. Meyer and J. P. Sorenson, Efficient Algorithms for Computing the Jacobi Symbol, J. Symbolic Comput. 26 (1998), no. 4, 509-523.
-
(1998)
J. Symbolic Comput
, vol.26
, Issue.4
, pp. 509-523
-
-
Meyer, S.M.1
Sorenson, J.P.2
-
15
-
-
0004259354
-
-
Springer-Verlag, Berlin, Heidelberg, New York
-
J. Neukirch, Algebraic Number Theory, Springer-Verlag, Berlin, Heidelberg, New York, 1999.
-
(1999)
Algebraic Number Theory
-
-
Neukirch, J.1
-
16
-
-
0042277387
-
-
AAECC-3 (J. Calmet, ed.), Lecture Notes in Computer Science
-
G. H. Norton, Extending the binary gcd algorithm, AAECC-3 (J. Calmet, ed.), Lecture Notes in Computer Science, vol. 229, 1985, pp. 363-372.
-
(1985)
Extending the binary gcd algorithm
, vol.229
, pp. 363-372
-
-
Norton, G.H.1
-
17
-
-
85034789838
-
A Shift-Remainder GCD Algorithm
-
Algebraic Algorithms and Error- Correcting Codes AAECC-5 (Berlin, Heidelberg, New York) (L. Huguet and A. Poli, eds.), Lecture Notes in Computer Science, Springer-Verlag
-
G. Norton, A Shift-Remainder GCD Algorithm, Proceedings of the 5th International Conference on Applied Algebra, Algebraic Algorithms and Error- Correcting Codes AAECC-5 (Berlin, Heidelberg, New York) (L. Huguet and A. Poli, eds.), Lecture Notes in Computer Science, vol. 356, Springer-Verlag, 1989, pp. 350-356.
-
(1989)
Proceedings of the 5th International Conference on Applied Algebra
, vol.356
, pp. 350-356
-
-
Norton, G.1
-
18
-
-
0008808983
-
On the Number of Divisions of the Euclidean Algorithm Applied to Gaussian Lntegers
-
H. Rolletschek, On the Number of Divisions of the Euclidean Algorithm Applied to Gaussian Lntegers, J. Symbolic Comput. 2 (1986), 261-291.
-
(1986)
J. Symbolic Comput
, vol.2
, pp. 261-291
-
-
Rolletschek, H.1
-
19
-
-
85025487415
-
Shortest division chains in imaginary quadratic number fields
-
Rome, Italy, July, proceedings (Berlin, Heidelberg, London etc.) (P. (Patrizia) Gianni, ed.), Lecture Notes in Computer Science, vol. 358, Springer Verlag, 1989, Conference held jointly with AAECC-6., pp. 231-243
-
H. Rolletschek, Shortest division chains in imaginary quadratic number fields, Symbolic and algebraic computation: International Symposium IS- SAC '88, Rome, Italy, July 4-8, 1988: proceedings (Berlin, Heidelberg, London etc.) (P. (Patrizia) Gianni, ed.), Lecture Notes in Computer Science, vol. 358, Springer Verlag, 1989, Conference held jointly with AAECC-6., pp. 231-243.
-
(1988)
Symbolic and algebraic computation: International Symposium IS- SAC '88
, pp. 4-8
-
-
Rolletschek, H.1
-
20
-
-
84963986471
-
Shortest Division Chains in Imaginary Quadratic Number Fields
-
H. Rolletschek, Shortest Division Chains in Imaginary Quadratic Number Fields, J. Symbolic Comput. 9 (1990), 321-354.
-
(1990)
J. Symbolic Comput
, vol.9
, pp. 321-354
-
-
Rolletschek, H.1
-
21
-
-
0015197550
-
Schnelle Berechnung von Kettenbruchentwicklungen
-
A. Schönhage, Schnelle Berechnung von Kettenbruchentwicklungen, Acta Informatica 1 (1971), 139-144.
-
(1971)
Acta Informatica
, vol.1
, pp. 139-144
-
-
Schönhage, A.1
-
23
-
-
84984644539
-
Fast Reduction and Composition of Binary Quadratic Forms
-
(S. M. Watt, ed.), ACM Press
-
A. Schönhage, Fast Reduction and Composition of Binary Quadratic Forms, Proc. Int’l. Symp. on Symbolic and Algebraic Computation: ISSAC '91 (S. M. Watt, ed.), ACM Press, 1991, pp. 128-133.
-
(1991)
Proc. Int’l. Symp. on Symbolic and Algebraic Computation: ISSAC '91
, pp. 128-133
-
-
Schönhage, A.1
-
24
-
-
0003743421
-
-
BI Wissenschaftsverlag, Mannheim
-
A. Schönhage, A. F. W. Grotefeld, and E. Vetter, Fast Algorithms - A Multitape Turing Machine Implementation, BI Wissenschaftsverlag, Mannheim, 1994.
-
(1994)
Fast Algorithms - A Multitape Turing Machine Implementation
-
-
Schönhage, A.1
Grotefeld, A.F.W.2
Vetter, E.3
-
25
-
-
0030825537
-
Improvements on the Accelerated Integer GCD Algorithm
-
M. S. Sedjelmaci and C. Lavault, Improvements on the Accelerated Integer GCD Algorithm, Inform. Process. Lett. 61 (1997), 31-36.
-
(1997)
Inform. Process. Lett
, vol.61
, pp. 31-36
-
-
Sedjelmaci, M.S.1
Lavault, C.2
-
26
-
-
84946893215
-
-
Technical Report CS-TR-90-979, University of Wisconsin, Madison
-
J. P. Sorenson, The k-ary GCD Algorithm, Technical Report CS-TR-90-979, University of Wisconsin, Madison, 1990.
-
(1990)
The k-ary GCD Algorithm
-
-
Sorenson, J.P.1
-
27
-
-
38149143955
-
Two Tast GCD Algorithms
-
J. Sorenson, Two Tast GCD Algorithms, J. Algorithms 16 (1994), no. 1, 110-144.
-
(1994)
J. Algorithms
, vol.16
, Issue.1
, pp. 110-144
-
-
Sorenson, J.1
-
30
-
-
84946893216
-
Analysis of a Left-Shift Binary GCD Algorithm
-
(Berlin, Heidelberg, New York) (L. M. Adleman and M.-D. Huang, eds.), Lecture Notes in Computer Science, Springer-Verlag
-
J. Shallit and J. Sorenson, Analysis of a Left-Shift Binary GCD Algorithm, Proceedings of the First International Symposium "Algorithmic Number Theory" ANTS-I (Berlin, Heidelberg, New York) (L. M. Adleman and M.-D. Huang, eds.), Lecture Notes in Computer Science, vol. 877, Springer-Verlag, 1994, pp. 169-183.
-
(1994)
Proceedings of the First International Symposium "Algorithmic Number Theory" ANTS-I
, vol.877
, pp. 169-183
-
-
Shallit, J.1
Sorenson, J.2
-
31
-
-
38149147435
-
Analysis of a Left-Shift Binary GCD Algorithm
-
J. Shallit and J. Sorenson, Analysis of a Left-Shift Binary GCD Algorithm, J. Symbolic Comput. 17 (1994), no. 6, 473-486.
-
(1994)
J. Symbolic Comput
, vol.17
, Issue.6
, pp. 473-486
-
-
Shallit, J.1
Sorenson, J.2
-
32
-
-
0000585372
-
Computational problems associated with Racah algebra
-
J. Stein, Computational problems associated with Racah algebra, J. Comput. Phys. 1 (1967), 397-405.
-
(1967)
J. Comput. Phys
, vol.1
, pp. 397-405
-
-
Stein, J.1
-
33
-
-
84885369694
-
The Complete Analysis of the Binary Euclidean Algorithm
-
(Berlin, Heidelberg, New York) (J. P. Buhler, ed.), Lecture Notes in Computer Science, Springer-Verlag
-
B. Vallée, The Complete Analysis of the Binary Euclidean Algorithm, Proceedings of the Third International Symposium "Algorithmic Number Theory" ANTS-III (Berlin, Heidelberg, New York) (J. P. Buhler, ed.), Lecture Notes in Computer Science, vol. 1423, Springer-Verlag, 1998, pp. 77-94.
-
(1998)
Proceedings of the Third International Symposium "Algorithmic Number Theory" ANTS-III
, vol.1423
, pp. 77-94
-
-
Vallée, B.1
-
34
-
-
0000609738
-
The accelerated integer GCD algorithm
-
K. Weber, The accelerated integer GCD algorithm, ACM Trans. Math. Software 21 (1995), 111-122.
-
(1995)
ACM Trans. Math. Software
, vol.21
, pp. 111-122
-
-
Weber, K.1
-
37
-
-
84946834476
-
(1 + i)-adic GCD Computation in ℤ[i] as an Analogue to the Binary GCD Algorithm
-
(T. Mulders, ed.), Bregenz, Austria, March 22-24
-
A. Weilert, (1 + i)-adic GCD Computation in ℤ[i] as an Analogue to the Binary GCD Algorithm, Proceedings of the Seventh Rhine Workshop on Computer Algebra RWCA’00 (T. Mulders, ed.), 2000, Bregenz, Austria, March 22-24, pp. 1-13.
-
(2000)
Proceedings of the Seventh Rhine Workshop on Computer Algebra RWCA’00
, pp. 1-13
-
-
Weilert, A.1
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