Outline

Objects

Functionality

Structure

Availability

Comparisons

Examples

Development

Contributors

Singular-1-4

Comparisons with other CAS


Macaulay Classic (D. Bayer, M. Stillman)
+: very popular, many supporting scripts
-: speed, functionality (e.g., only homogeneous polys over finite fields)

Macaulay 2 (D. Grayson, M. Stillman)
+: input similar to mathematical notation
-: speed, functionality (e.g., no primary decomposition)

CoCoA (L. Robbiano, University of Genua)
+: Hilbert series
-: speed, functionality (e.g., no multivariate factorization, primdec, ...)

MAGMA (University of Sydney)
+: functionality (number theory)
-: not freely available

Gb/FGb (J.-C. Faugere, University of Paris 6)
+: speed
-: functionality (only Groebner basis), not available at all (FGb)

Summary: Singular one of the fastest systems with largest functionality

Mainz http://www.mathematik.uni-kl.de/~zca/Singular