nonlinear optimization - Do we need steepest descent methods, when minimizing quadratic functions? - Mathematics Stack Exchange

I'm studying about nonlinear programming and steepest descent methods for quadratic multivariable functions. I have a question highlighted in the following picture: My question is: If we can expli

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optimization - After reading the quadratic penalty method.i still don't understand what does it actually do,and the time of using it - Mathematics Stack Exchange

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optimization - After reading the quadratic penalty method.i still don't understand what does it actually do,and the time of using it - Mathematics Stack Exchange