63 citations · 114 across the 15 of their papers we have counts for
4 papers · 1 filter
Bilinear systems with two supports: Koszul resultant matrices, eigenvalues, and eigenvectors
Matías Bender, Jean-Charles Faugère, Angelos Mantzaflaris +1
A fundamental problem in computational algebraic geometry is the computation of the resultant. A central question is when and how to compute it as the determinant of a matrix. whos…
Deflation and Certified Isolation of Singular Zeros of Polynomial Systems
Angelos Mantzaflaris, Bernard Mourrain
We develop a new symbolic-numeric algorithm for the certification of singular isolated points, using their associated local ring structure and certified numerical computations. An…
Continued Fraction Expansion of Real Roots of Polynomial Systems
Angelos Mantzaflaris, Bernard Mourrain, Elias P. P. Tsigaridas
We present a new algorithm for isolating the real roots of a system of multivariate polynomials, given in the monomial basis. It is inspired by existing subdivision methods in the…
Multihomogeneous Resultant Formulae for Systems with Scaled Support
Ioannis Z. Emiris, Angelos Mantzaflaris
Constructive methods for matrices of multihomogeneous (or multigraded) resultants for unmixed systems have been studied by Weyman, Zelevinsky, Sturmfels, Dickenstein and Emiris. We…