Figure A4.
Minimization of Should the constraints ĉi(x) ≥ 0 be inconsistent with one another within the trust region ∥x − x0∥2 ≤ ρ, the candidate vertex x* is chosen to minimize . (top) The constraints ĉ1(x) ≥ 0 and ĉ2(x) ≥ 0 are inconsistent within the region ∥x − x0∥2 ≤ ρ. (bottom left) Graphs of the affine functions −ĉ1(x) (blue) and −ĉ2(x) (green). (bottom right) The vertex x* is defined to be the point within the trust region (black circle) at which is minimized.