Recent content by mertcan

  1. mertcan

    A linear programming, polyhedron and extreme points

    very thanks for your reply. Well, may I ask if ANY TWO extreme points in a polyhedron can be linearly dependent or not (those 2 extreme points are multiple of each other or not), could you provide me with a proof? Thanks
  2. mertcan

    A linear programming, polyhedron and extreme points

    Hi, First assume that there is a polyhedron P, where Ax<=b and x is free variable whose dimension is n. Besides, rank(A) = n. I really wonder if extreme points in a polyhedron can be linearly dependent? I used even ChatGPT, but it includes some shaky calculations while proofing. In short, if...
  3. mertcan

    C/C++ Parallel processing for loops and pointer defined outside the loop

    Thank you @DrClaude for your valuable return. May I ask a small question related to for loop during parallelization: Lets say we have a nested for loops consisting of 2 for loops (as you know OpenMP does not allow break or goto statements if the loop is parallelized) so if we just parallelize...
  4. mertcan

    C/C++ Parallel processing for loops and pointer defined outside the loop

    Thank you DrClaude for your explanatory and kind return. Please correct me if I understand wrong: lets say we have created a pointer using "new" outside the parallel for loop, and you say during the privatization (without firstprivate) of that pointer, each thread will create that pointer...
  5. mertcan

    C/C++ Parallel processing for loops and pointer defined outside the loop

    Thank you for your kind return, I asked because I try to comprehend the structure behind OMP for my project. Whenever I see, during the privatization for "for loop", an integer or double variable examples take place. I have not see an integer pointer example for privatization. So, is it possible...
  6. mertcan

    C/C++ Parallel processing for loops and pointer defined outside the loop

    Hi everyone; hope you are well. I have a small question: As far as I have searched, for example we can make integer variable defined outside the for loop private for multiple threads, but is it also possible to apply this situation for an integer pointer defined outside the for loop? I mean if a...
  7. mertcan

    Linear programming and resolution theorem

    Could we also proceed with L=1 case to grasp the entire logic if you do not mind?
  8. mertcan

    Linear programming and resolution theorem

    yes I got what we just done but I am still in a impasse when other equations added...
  9. mertcan

    Linear programming and resolution theorem

    I would assign 1 to the biggest cost function
  10. mertcan

    Linear programming and resolution theorem

    last equation you just written implies we have convex combination of cost function at extreme points of the region which is the intersection of P and additional equality constraints...
  11. mertcan

    Linear programming and resolution theorem

    we have no extreme rays
  12. mertcan

    Linear programming and resolution theorem

    I understand when we think of the question in small dimensions then I am ok, but how can we generalise it?
  13. mertcan

    Linear programming and resolution theorem

    I got what you mean for instance if L=0 then optimal point would be the convex combination of just 1 point of P then optimal point actually would be the extreme point of P, if L=1 then optimal point may be the convex combination of 2 adjacent extreme point of P, but how can I proceed then using...
  14. mertcan

    Linear programming and resolution theorem

    Actually I must confess that I have been struggling for 10 days for that question but nothing comes to my mind I really do not know how to start how to proceed...
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