On Degrees of Modular Common Divisors and the Big Prime g c d Algorithm
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-05
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We consider a few modifications of the Big prime modular g c d algorithm for polynomials in Z [ x ] .
Our modifications are based on bounds of degrees of modular common divisors of polynomials, on estimates of the number of prime divisors of a resultant, and on finding preliminary bounds on degrees of common divisors using auxiliary primes.
These modifications are used to suggest improved algorithms for g c d calculation and for coprime polynomials detection.
To illustrate the ideas we apply the constructed algorithms on certain polynomials, in particular on polynomials from Knuth’s example of intermediate expression swell.
American Psychological Association (APA)
Mikaelian, Vahagn. 2016. On Degrees of Modular Common Divisors and the Big Prime g c d Algorithm. International Journal of Mathematics and Mathematical Sciences،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1106309
Modern Language Association (MLA)
Mikaelian, Vahagn. On Degrees of Modular Common Divisors and the Big Prime g c d Algorithm. International Journal of Mathematics and Mathematical Sciences No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1106309
American Medical Association (AMA)
Mikaelian, Vahagn. On Degrees of Modular Common Divisors and the Big Prime g c d Algorithm. International Journal of Mathematics and Mathematical Sciences. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1106309
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1106309