Question: consider Nonlinear Optimization problem below Let g be a twice continuously differentiable, positive function of n variables. Show that a vector x satisfying: . g(x)

consider Nonlinear Optimization problem below Let g be a twice continuously

consider Nonlinear Optimization problem below

Let g be a twice continuously differentiable, positive function of n variables. Show that a vector x satisfying: . g(x) c+ Vg(x) =0, and . g(x) V2g(x) - Vg(x) Vg(x) is positive definite, must be an unconstrained strong local minimizer of c x + logg(x)

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