Non-commutative polynomial algebras appear in a wide range of applications, from
quantum groups and theoretical physics to linear differential and difference equations. In the …

Index concepts for differential-algebraic equations Page 1 Index concepts for differential-algebraic
equations Volker Mehrmann∗ January 23, 2012 Abstract We discuss several of different index …

In this paper we describe an efficient involutive algorithm for constructing Groebner bases of
polynomial ideals. The algorithm is based on the concept of involutive monomial division …

Much of the existing literature on involutive bases concentrates on their efficient algorithmic
construction. By contrast, we are here more concerned with their structural properties …

Involutive bases are a special form of non-reduced Gröbner bases with additional
combinatorial properties. Their origin lies in the Janet–Riquier theory of linear systems of …

In this paper, we consider a monomial ideal J◃ P:= A [x 1,…, xn], over a commutative ring A,
and we face the problem of the characterization for the family M f (J) of all homogeneous …

Perspective-five-point (P5P) problem is a classical problem in applied mathematics, pattern
recognition and computer vision. We briefly survey several existing algorithms for the …

Given a Lie pseudo-group action, an equivariant moving frame exists in the neighborhood of
a submanifold jet provided the action is free and regular. For local equivalence problems the …

We briefly survey several existing methods for solving polynomial systems with inexact
coefficients, then introduce our new symbolic-numeric method which is based on the …

We present a method based on symbolic-numeric reduction to geometric involutive form to
compute the primary component and the differential operators f solution of a polynomial …