In an unconstrained two-variable problem with a quadratic objective function, if there is a local optimum, it must also be the global optimum solution.

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In an unconstrained two-variable problem with a quadratic objective function, the function is convex (or concave) due to its quadratic nature. Therefore, any local optimum found in such a function is also the global optimum, as convex (concave) functions have a single minimum (maximum) point.

In an Unconstrained Two-Variable Problem with a Quadratic Objective Function