How to solving complicated optimization problem with Matlab quadprog

2015 8 29
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I've to solve this complicated optimization problem using matlab quadprog for my assignment but confused which definition of quadprog function i have to use. i have to obtain branch of probabilities Pi, x,y = u,m,d. total 9 values of 9 probabilities. Puu, Pum, Pud... Pdd. Thanks for your generous help.

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