Binary GCD algorithm (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Binary GCD algorithm" in English language version.

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Stehlé, Damien; Zimmermann, Paul (2004), "A binary recursive gcd algorithm" (PDF), Algorithmic number theory, Lecture Notes in Comput. Sci., vol. 3076, Springer, Berlin, pp. 411–425, CiteSeerX 10.1.1.107.8612, doi:10.1007/978-3-540-24847-7_31, ISBN 978-3-540-22156-2, MR 2138011, S2CID 3119374, INRIA Research Report RR-5050.

anu.edu.au

wwwmaths.anu.edu.au

Brent, Richard P. (13–15 September 1999). Twenty years' analysis of the Binary Euclidean Algorithm. 1999 Oxford-Microsoft Symposium in honour of Professor Sir Antony Hoare. Oxford.

archives-ouvertes.fr

hal.archives-ouvertes.fr

Stehlé, Damien; Zimmermann, Paul (2004), "A binary recursive gcd algorithm" (PDF), Algorithmic number theory, Lecture Notes in Comput. Sci., vol. 3076, Springer, Berlin, pp. 411–425, CiteSeerX 10.1.1.107.8612, doi:10.1007/978-3-540-24847-7_31, ISBN 978-3-540-22156-2, MR 2138011, S2CID 3119374, INRIA Research Report RR-5050.

arxiv.org

Brent, Richard P. (November 1999). Further analysis of the Binary Euclidean algorithm (Technical report). Oxford University Computing Laboratory. arXiv:1303.2772. PRG TR-7-99.

books.google.com

Cohen, Henri (1993). "Chapter 1 : Fundamental Number-Theoretic Algorithms". A Course In Computational Algebraic Number Theory. Graduate Texts in Mathematics. Vol. 138. Springer-Verlag. pp. 17–18. ISBN 0-387-55640-0.

doi.org

Stein, J. (February 1967), "Computational problems associated with Racah algebra", Journal of Computational Physics, 1 (3): 397–405, Bibcode:1967JCoPh...1..397S, doi:10.1016/0021-9991(67)90047-2, ISSN 0021-9991
Stehlé, Damien; Zimmermann, Paul (2004), "A binary recursive gcd algorithm" (PDF), Algorithmic number theory, Lecture Notes in Comput. Sci., vol. 3076, Springer, Berlin, pp. 411–425, CiteSeerX 10.1.1.107.8612, doi:10.1007/978-3-540-24847-7_31, ISBN 978-3-540-22156-2, MR 2138011, S2CID 3119374, INRIA Research Report RR-5050.
Weilert, André (July 2000). "(1+i)-ary GCD Computation in Z[i] as an Analogue to the Binary GCD Algorithm". Journal of Symbolic Computation. 30 (5): 605–617. doi:10.1006/jsco.2000.0422.
Damgård, Ivan Bjerre; Frandsen, Gudmund Skovbjerg (12–15 August 2003). Efficient Algorithms for GCD and Cubic Residuosity in the Ring of Eisenstein Integers. 14th International Symposium on the Fundamentals of Computation Theory. Malmö, Sweden. pp. 109–117. doi:10.1007/978-3-540-45077-1_11.
Agarwal, Saurabh; Frandsen, Gudmund Skovbjerg (13–18 June 2004). Binary GCD Like Algorithms for Some Complex Quadratic Rings. Algorithmic Number Theory Symposium. Burlington, VT, USA. pp. 57–71. doi:10.1007/978-3-540-24847-7_4.
Agarwal, Saurabh; Frandsen, Gudmund Skovbjerg (20–24 March 2006). A New GCD Algorithm for Quadratic Number Rings with Unique Factorization. 7th Latin American Symposium on Theoretical Informatics. Valdivia, Chile. pp. 30–42. doi:10.1007/11682462_8.
Wikström, Douglas (11–15 July 2005). On the l-Ary GCD-Algorithm in Rings of Integers. Automata, Languages and Programming, 32nd International Colloquium. Lisbon, Portugal. pp. 1189–1201. doi:10.1007/11523468_96.

gmplib.org

"GNU MP 6.1.2: Binary GCD".

godbolt.org

rust.godbolt.org

Godbolt, Matt. "Compiler Explorer". Retrieved 4 February 2024.

greyc.fr

vallee.users.greyc.fr

Akhavi, Ali; Vallée, Brigitte (2000), "Average Bit-Complexity of Euclidean Algorithms", Proceedings ICALP'00, Lecture Notes Computer Science 1853: 373–387, CiteSeerX 10.1.1.42.7616

harvard.edu

ui.adsabs.harvard.edu

Stein, J. (February 1967), "Computational problems associated with Racah algebra", Journal of Computational Physics, 1 (3): 397–405, Bibcode:1967JCoPh...1..397S, doi:10.1016/0021-9991(67)90047-2, ISSN 0021-9991

intel.com

software.intel.com

Kapoor, Rajiv (21 February 2009). "Avoiding the Cost of Branch Misprediction". Intel Developer Zone.

lemire.me

Lemire, Daniel (15 October 2019). "Mispredicted branches can multiply your running times".

ox.ac.uk

cs.ox.ac.uk

Brent, Richard P. (November 1999). Further analysis of the Binary Euclidean algorithm (Technical report). Oxford University Computing Laboratory. arXiv:1303.2772. PRG TR-7-99.

psu.edu

citeseerx.ist.psu.edu

Akhavi, Ali; Vallée, Brigitte (2000), "Average Bit-Complexity of Euclidean Algorithms", Proceedings ICALP'00, Lecture Notes Computer Science 1853: 373–387, CiteSeerX 10.1.1.42.7616
Stehlé, Damien; Zimmermann, Paul (2004), "A binary recursive gcd algorithm" (PDF), Algorithmic number theory, Lecture Notes in Comput. Sci., vol. 3076, Springer, Berlin, pp. 411–425, CiteSeerX 10.1.1.107.8612, doi:10.1007/978-3-540-24847-7_31, ISBN 978-3-540-22156-2, MR 2138011, S2CID 3119374, INRIA Research Report RR-5050.

semanticscholar.org

api.semanticscholar.org

Stehlé, Damien; Zimmermann, Paul (2004), "A binary recursive gcd algorithm" (PDF), Algorithmic number theory, Lecture Notes in Comput. Sci., vol. 3076, Springer, Berlin, pp. 411–425, CiteSeerX 10.1.1.107.8612, doi:10.1007/978-3-540-24847-7_31, ISBN 978-3-540-22156-2, MR 2138011, S2CID 3119374, INRIA Research Report RR-5050.

uwaterloo.ca

cacr.uwaterloo.ca

Menezes, Alfred J.; van Oorschot, Paul C.; Vanstone, Scott A. (October 1996). "§14.4 Greatest Common Divisor Algorithms" (PDF). Handbook of Applied Cryptography. CRC Press. pp. 606–610. ISBN 0-8493-8523-7. Retrieved 9 September 2017.

worldcat.org

search.worldcat.org

Stein, J. (February 1967), "Computational problems associated with Racah algebra", Journal of Computational Physics, 1 (3): 397–405, Bibcode:1967JCoPh...1..397S, doi:10.1016/0021-9991(67)90047-2, ISSN 0021-9991