Convexity and extreme values
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Check that the function:
f(x1, x2, x3) = (x1)^2 + (x2)^2 + (x3)^2 - x1 - x2 - x3
is convex. Find the extreme values of f under the conditions:
(x1)^2 + (x2)^2 = 4, -1 <= x3 <= 1. (x3 goes from -1 to 1)
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Solution Summary
This provides an example of checking that a function is convex and finding extreme values.
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f(x1, x2, x3) = (x1)^2 + (x2)^2 + (x3)^2 - x1 - x2 - x3
is convex. Find the extreme values of f under the conditions: ...
Purchase this Solution
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