Continued Fraction Expansion of Real Roots of Polynomial Systems (2009)
Mantzaflaris, Angelos, Mourrain, Bernard, Tsigaridas, Elias P.
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 Bernstein basis; it...
Multihomogeneous Resultant Formulae for Systems with Scaled Support (2009)
Emiris, Ioannis Z., Mantzaflaris, Angelos
Constructive methods for matrices of multihomogeneous resultants for unmixed systems have been studied by Weyman, Zelevinsky, Sturmfels, Dickenstein and Emiris. We generalize these constructions to...
Multihomogeneous resultant matrices for systems with scaled support (2009)
Emiris, Ioannis, Mantzaflaris, Angelos
Constructive methods for matrices of multihomogeneous resultants for unmixed systems have been studied in [DE03,SZ94,WZ94]. We generalize these constructions to mixed systems, whose Newton polytopes...
Multihomogeneous resultant matrices for systems with scaled support (2009)
Emiris, Ioannis, Mantzaflaris, Angelos
Constructive methods for matrices of multihomogeneous resultants for unmixed systems have been studied in [DE03,SZ94,WZ94]. We generalize these constructions to mixed systems, whose Newton polytopes...
Continued Fraction Expansion of Real Roots of Polynomial Systems (2009)
Mantzaflaris, Angelos, Mourrain, Bernard, Tsigaridas, Elias P.
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 Bernstein basis; it...
Continued Fraction Expansion of Real Roots of Polynomial Systems (2009)
Mantzaflaris, Angelos, Mourrain, Bernard, Tsigaridas, Elias P.
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 Bernstein basis; it...
Resultants Projective resultant (2007)
Angelos Mantzaflaris, Matrix Formulae Sylvester
Use linear algebra techniques to solve non linear systems Exploit multihomogeneous system structure: Construct resultant matrices of optimal dimension Multihomogeneous systems fi(x1, x2,..., xn) = 0,...