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

proof explanation - How to show that the gradient descent for unconstrained optimization can be represented as the argmin of a quadratic? - Mathematics Stack Exchange

Majorization-minimization-based Levenberg–Marquardt method for constrained nonlinear least squares

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

Solved Consider the quadratic objective function

Solved 2.5. Suppose that the steepest-descent method (with

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MPC trajectory optimization intuition - Mathematics Stack Exchange