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FOCM
2008
59views more  FOCM 2008»
13 years 4 months ago
Semidefinite Characterization and Computation of Zero-Dimensional Real Radical Ideals
For an ideal I R[x] given by a set of generators, a new semidefinite characterization of its real radical I(VR(I)) is presented, provided it is zero-dimensional (even if I is not...
Jean B. Lasserre, Monique Laurent, Philipp Rostals...
SIAMJO
2010
79views more  SIAMJO 2010»
13 years 2 months ago
Theta Bodies for Polynomial Ideals
Inspired by a question of Lov´asz, we introduce a hierarchy of nested semidefinite relaxations of the convex hull of real solutions to an arbitrary polynomial ideal, called theta...
João Gouveia, Pablo A. Parrilo, Rekha R. Th...