A Beautiful Mind

Question 1

<p>What is lamda*g=0.</p>

Answer 1

<p>This is the second KT condition.</p>

Question 2

<p class=”large” style=”text-align:center”;>What is grad (X*) = 0?</p>

Answer 2

<p class=”large” style=”text-align:center”;>This is a necessary condition for unconstrained optimality.</p>

Question 3

<p>What is zero?</p>

Answer 3

<p>A lamda with this value means that the associated constraint is inactive.</p>

Question 4

<p class=”large” style=”text-align:center”;>What is that the Hessian be positive definite for all possible X?</p>

Answer 4

<p class=”large” style=”text-align:center”;>This condition will ensure a global minimum.</p>

Question 5

<p>What is the third KT condition?</p>

Answer 5

<p>This is the requirement that the gradient of the Lagrangian be zero at the optimum.</p>