- com****tional
algebraic geometry, and com****tional
commutative algebra, a
Gröbner basis is a
particular kind of
generating set of an
ideal in a polynomial...
-
Wolfgang Gröbner (11
February 1899 – 20
August 1980) was an
Austrian mathematician. His name is best
known for the
Gröbner basis, used for com****tions...
-
algorithm is a
method for
transforming a
given set of
polynomials into a
Gröbner basis,
which is
another set of
polynomials that have the same
common zeros...
- for this
involve Gröbner basis com****tion. The
algorithms which are not
based on
Gröbner bases use
regular chains but may need
Gröbner bases in some exceptional...
- In
computer algebra, the
Gröbner fan of an
ideal in the ring of
polynomials is a
concept in the
theory of
Gröbner bases. It is
defined to be a fan consisting...
- only if its
reduced Gröbner basis (for any
monomial ordering) is 1. The
number of the
common zeros of the
polynomials in a
Gröbner basis is
strongly related...
- the
theory of
Gröbner bases, and has
developed this
theory throughout his career. He
named these objects after his
advisor Wolfgang Gröbner.
Since 1995...
-
Harald Grobner (born 4
December 1980 in Neunkirchen, Austria) is an
Austrian mathematician at the
Faculty of Mathematics,
University of Vienna. His research...
- algebra, the Faugère F4 algorithm, by Jean-Charles Faugère,
computes the
Gröbner basis of an
ideal of a
multivariate polynomial ring. The
algorithm uses...
- The Alekseev–
Gröbner formula, or
nonlinear variation-of-constants formula, is a
generalization of the
linear variation of
constants formula which was...
