This paper gives a new algorithm to compute Gröbner bases of maximal minors of matrices of polynomials, and applies this algorithm to compute the critical points of a polynomial restricted to an algebraic variety. A complexity analysis of this new algorithm is also given.
This paper gives new criteria for the detection and avoidance of reductions to zero when computing Gröbner bases of determinantal ideals of square matrices of polynomials. In the comaximal case and under certain genericity assumptions, all reductions to zero are avoided and a complexity analysis of the resulting algorithm is provided.
This paper surveys various possible mathematical foundations for delay tolerant networking on temporal networks with the goal of applicability to pathfinding and related problems in a solar system internet.