We provide an algebraic formulation of the moving frame method for constructing local
smooth invariants on a manifold under an action of a Lie group. This formulation gives rise to …

Resultants play an increasingly important role in modern theoretical physics: they appear
whenever we have nonlinear (polynomial) equations, nonquadratic forms, or non-Gaussian …

In nice cases, a zero-dimensional complete intersection ideal over a field has a Shape
Lemma. There are also cases where the ideal is generated by the resultant and first …

Following the ideas of Ore and Li we study q-analogues of scalar subresultants and show
how these results can be applied to determine the rank of an F q-linear transformation f of F …

Computing Handbook, Third Edition: Computer Science and Software Engineering mirrors
the modern taxonomy of computer science and software engineering as described by the …

In this paper, we consider the problem of formulating the subresultant polynomials for
several univariate polynomials in Newton basis. It is required that the resulting subresultant …

In this paper, we tackle the following problem: compute the gcd for several univariate
polynomials with parametric coefficients. It amounts to partitioning the parameter space …

Subresultant of two univariate polynomials is a fundamental object in computational algebra
and geometry with many applications (for instance, parametric GCD and parametric …

In this paper, the concept of companion subresultant for polynomials in power basis is
extended to that for polynomials in Newton basis and an explicit formula in the form of …

Our Chapter in the upcoming Volume I: Computer Science and Software Engineering of
Computing Handbook (Third edition), Allen Tucker, Teo Gonzales and Jorge L. Diaz …