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GroebnerBasis::wgtmat1 PolynomialReduce::wgtmat1 GroebnerBasis`GroebnerWalk`GroebnerWalk::wgtmat1 GroebnerBasis`DistributedTermsList::wgtmat1

GroebnerBasis::wgtmat1 PolynomialReduce::wgtmat1 GroebnerBasis`GroebnerWalk`GroebnerWalk::wgtmat1 GroebnerBasis`DistributedTermsList::wgtmat1

Details

  • Generated when the value of the MonomialOrder option is not a valid weight matrix.
  • A weight matrix used as the value of the MonomialOrder option is expected to be a square rational (or integer) matrix of full rank with positive values in the first nonzero entries of each column.
  • Off[message] switches off the message; On[message] switches it on. For example: Off[GroebnerBasis::wgtmat1].

Examples

Basic Examples  (1)

An error occurs in this example because the weight matrix includes elements that are not integers or rational numbers.

Wolfram Language code: GroebnerBasis[{x + 3x y, y - 2x}, {x, y}, MonomialOrder -> {{Pi, 0}, {0, Pi}}]

This shows a valid weight matrix as the value of the MonomialOrder option.

Wolfram Language code: GroebnerBasis[{x + 3x y, y - 2x}, {x, y}, MonomialOrder -> {{1, 0}, {0, 1}}]