In numerical algebraic geometry, a witness point set W is a key object for performing numerical computations on a projective scheme X of pure dimension d > 0 defined over C. I...
It is still a challenging task of today to recognize the type of a given algebraic surface which is described only by its implicit representation. In this paper we will investigat...
Let A0, A1, . . . , An be given square matrices of size m with rational coefficients. The paper focuses on the exact computation of one point in each connected component of the re...
Abstract. A new algorithm to compute cylindrical algebraic decompositions (CADs) is presented, building on two recent advances. Firstly, the output is truth table invariant (a TTIC...
Russell J. Bradford, James H. Davenport, Matthew E...
HERMAN, AARON PAUL. Positive Root Bounds and Root Separation Bounds. (Under the direction of Hoon Hong.) In this thesis, we study two classes of bounds on the roots of a polynomia...