Changeset d5abcf in git
- Timestamp:
- Oct 11, 2010, 5:05:10 PM (14 years ago)
- Branches:
- (u'spielwiese', 'fe61d9c35bf7c61f2b6cbf1b56e25e2f08d536cc')
- Children:
- f52e644192d490cf37326f3ae6421fa930a836dc
- Parents:
- c661e3986988d6147e22126d4009f7bfb1df3f50
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- 1 edited
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Singular/LIB/ncfactor.lib
rc661e3 rd5abcf 6 6 AUTHORS: Albert Heinle, albert.heinle@rwth-aachen.de 7 7 @* Viktor Levandovskyy, levandov@math.rwth-aachen.de 8 8 9 OVERVIEW: In this library, new methods for factorization on polynomials 9 are implemented for two algebras over a field K. Recall, that 10 the first Weyl algebra over K is generated by x,d obeying the relation d*x=x*d+1.@* 11 The first shift algebra over K is generated by x,s obeying the relation s*x=x*s+s. 10 are implemented for two algebras, both generated by two generators (Weyl and 11 shift algebras) over a field K. Recall, that the first Weyl algebra over K 12 is generated by x,d obeying the relation d*x=x*d+1. 13 @* The first shift algebra over K is generated by x,s obeying the relation s*x=x*s+s. 14 @* More detailled description of the algorithms can be found at @url{http://www.math.rwth-aachen.de/\~Albert.Heinle}. 15 16 Guide: We are interested in computing a tree of factorizations, that is at the moment 17 a list of all found factorizations is returned. It may contain factorizations, which 18 are further reducible. 12 19 13 20 PROCEDURES: … … 1405 1412 //================================================== 1406 1413 //************From here: Shift-Algebra************** 1407 //================================================== 1408 1409 //==================================================* 1410 //one factorization of a homogeneous polynomial 1411 //in the first Shift Algebra 1414 //================================================== 1415 //==================================================* 1416 //one factorization of a homogeneous polynomial 1417 //in the first Shift Algebra 1412 1418 static proc homogfacFirstShift(poly h) 1413 1419 {//proc homogfacFirstShift … … 1610 1616 procedure a factorization of the polynomial occurs, it will be added to 1611 1617 the output list. For a more detailled description visit 1612 @url{http:// math.rwth-aachen.de/\~Albert.Heinle}1618 @url{http://www.math.rwth-aachen.de/\~Albert.Heinle} 1613 1619 SEE ALSO: homogfacFirstShift_all, homogfacFirstShift 1614 1620 "{//proc facshift
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