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| Convex optimization, a subfield of mathematical optimization, studies the problem of minimizing convex functions. Given a real vector space X together with a convex, real-valued ... |
| Optimization is the science of making a best choice in the face of conflicting requirements. Any convex optimization problem has geometric interpretation. If a given optimization ... |
| An optimization problem can be represented in the following way. Such a formulation is called ... A large number of algorithms proposed for solving non-convex problems – including the ... |
| Optimization Problem Types - Convex Optimization Optimization Problem Types . Why Convexity Matters; Convex Optimization Problems; Convex Functions; Solving Convex Optimization ... |
| Optimization is the science of making a best choice in the face of conflicting requirements. Any convex optimization problem has geometric interpretation. If a given optimization ... |
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Resolved Question: Linear optimization problem - global maxima?
given f:R^n ---> R
f(x)=<c,x>;
where <c,x> denotes the dot product of the vectors c and x;
Find a global maxima of this function on X= [0,1]^n
where R^n denotes RxRxR...xR n times;
and [0,1]^n denotes [0,1]x..x[0,1] n times.
thank you in advance.
i am thinking that it is easy to prove that f is convex; the set X is again convex.... so the problem has a global maxima, and by the fact that the function is convex. but, i don't know what to do next :)
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