Do you know about the disadvantages of the Quadratic Optimization or Programming?

Provide some negative aspects of the Quadratic Optimization or Programming technique?
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"Disadvantages: Based on historical data which will lead to failure to track the index. Source: http://in.docsity.com/en-docs/Equity_Portfolio_Management_Strategies_-_Security_Analysis_and_Portfolio_Management_-_Solved_Quiz_"
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Quadratic programming (QP) is a special type of mathematical optimization problem. It is the problem of optimizing (minimizing or maximizing) a quadratic function of several variables subject to linear constraints on these variables.
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