title: Optimization in R
body: <p>I have the following optimization problem:</p>
  
  <p><img src="https://i.stack.imgur.com/GuGDc.jpg" alt="enter image description here"></p>
  
  <p>We are minimizing with respect to <code>y</code>. A is a known matrix, <code>b</code> is a known vector, and <code>c</code> is a known constant.</p>
  
  <p>Two important things here: while we are trying to minimize the function, <strong>it can not be less than 0</strong>. Also, it would be ideal to use an R method that doesn't require initial values, since it is quite complex to eyeball a feasible starting value of <code>y</code>.</p>
  
  <p>Is there any package/function in R that would allow me to implement this problem?
  Any help would be greatly appreciated! Thank you.</p>