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I am trying to calculate stationary point x* by calculating the first derivative of function $f(x) = c^T x +1/2 x^T Hx$ and find out whether it is a minimizer of f. I wrote the part with $c^T x$, also I am not sure about that, too. Could you please help me about writing second part with $1/2 x^T Hx $ ?

c=\begin{bmatrix} 1 \\3 \\-7 \\1 \\\end{bmatrix} H=\begin{bmatrix}4 & 4 & 4 & 3 \\4 & 7 & 3 & 3 \\4 & 3 & 5 & 3 \\3 & 3 & 3 & 3 \\ \end{bmatrix} $c^T x$ = $x_{1} + 3x_{2} -7x_{3} + x_{4}$

  • I am sorry, I am a rookie in StackExchange and English is not my mother tongue. I tried to revise my question and it is math related. I am just confused about the correct writing of function f. Could you please help? – serife gizem baci Oct 27 '19 at 09:05
  • No problem, I can't do this one but maybe you still need to tell what is $x? and if you are after the programming code or numerical end value. – NoChance Oct 27 '19 at 09:32
  • I actually need the partial derivatives of the quadratic formula. – serife gizem baci Oct 27 '19 at 09:35

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