Changeset d5abcf in git


Ignore:
Timestamp:
Oct 11, 2010, 5:05:10 PM (14 years ago)
Author:
Viktor Levandovskyy <levandov@…>
Branches:
(u'spielwiese', 'fe61d9c35bf7c61f2b6cbf1b56e25e2f08d536cc')
Children:
f52e644192d490cf37326f3ae6421fa930a836dc
Parents:
c661e3986988d6147e22126d4009f7bfb1df3f50
Message:
*levandov: some docs added

git-svn-id: file:///usr/local/Singular/svn/trunk@13451 2c84dea3-7e68-4137-9b89-c4e89433aadc
File:
1 edited

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  • Singular/LIB/ncfactor.lib

    rc661e3 rd5abcf  
    66AUTHORS: Albert Heinle,     albert.heinle@rwth-aachen.de
    77@*       Viktor Levandovskyy,     levandov@math.rwth-aachen.de
     8
    89OVERVIEW: 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
     16Guide: We are interested in computing a tree of factorizations, that is at the moment
     17a list of all found factorizations is returned. It may contain factorizations, which
     18are further reducible.
    1219
    1320PROCEDURES:
     
    14051412//==================================================
    14061413//************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
    14121418static proc homogfacFirstShift(poly h)
    14131419{//proc homogfacFirstShift
     
    16101616        procedure a factorization of the polynomial occurs, it will be added to
    16111617        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}
    16131619SEE ALSO: homogfacFirstShift_all, homogfacFirstShift
    16141620"{//proc facshift
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