Singular Manual: Introduction to orderings

| ### B.2.1 Introduction to orderings SINGULAR offers a great variety of monomial orderings which provide an enormous functionality, if used diligently. However, this flexibility might also be confusing for the novice user. Therefore, we recommend to those not familiar with monomial orderings to generally use the ordering `dp` for computations in the polynomial ring 62#62,resp. `ds` for computations in the localization 496#496. For inhomogeneous input ideals, standard (resp. groebner) bases computations are generally faster with the orderings 538#538(resp. 539#539)if the input is quasihomogenous w.r.t. the weights 540#540, 541#541, 542#542 of 304#304, 541#541, 305#305. If the output needs to be "triangular" (resp. "block-triangular"), the lexicographical ordering `lp` (resp. lexicographical block-orderings) need to be used. However, these orderings usually result in much less efficient computations.

User manual for Singular version 4.4.0, 2024, generated by texi2html.