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SINGULAR

SINGULAR

SINGULAR is a Computer Algebra System for polynomial computations with special emphasis on the needs of commutative algebra, algebraic geometry, singularity theory, and polynomial system solving.

SINGULAR's main computational objects are ideals and modules over a large variety of baserings. The baserings are polynomial rings or localizations thereof over a field (e.g., finite fields, the rationals, floats, algebraic extensions, transcendental extensions) or over a limited set of rings, or over quotient rings with respect to an ideal.

SINGULAR features one of the fastest and most general implementations of various algorithms for computing Groebner resp. standard bases. The implementation includes Buchberger's algorithm (if the ordering is a wellordering) and Mora's algorithm (if the ordering is a tangent cone ordering) as special cases. Furthermore, it provides polynomial factorization, resultant, characteristic set and gcd computations, syzygy and free-resolution computations, and many more related functionalities.

 SINGULAR 3.1.6

Price
Free to download

Size
24.4MB
License

GNU GPL v2

Developer
Department of Mathematics of the University of Kaiserslautern

Website
www.singular.uni-kl.de/

System Requirements
libgmp3
libncurses 5
libtnl 5.4.2
libreadline5

Support Sites:
Manual, Forum, ZCA Centre for Computer Algebra

Selected Reviews:

Features include:

  • Main computational objects: ideals/modules over very general polynomial rings over various ground fields
  • Large variety of algorithms implemented in kernel (written in C/C++)
  • Many more algorithms implemented as SINGULAR libraries
  • Intuitive, C-like programming language
  • Extensive documentation: Manual (info, ps, and html), Publications
  • Emacs user interface
  • Large set of libraries

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Last Updated Monday, April 21 2014 @ 02:04 AM EDT


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