optimization - How to show that the method of steepest descent does not converge in a finite number of steps? - Mathematics Stack Exchange

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I have a function, $$f(\mathbf{x})=x_1^2+4x_2^2-4x_1-8x_2,$$ which can also be expressed as $$f(\mathbf{x})=(x_1-2)^2+4(x_2-1)^2-8.$$ I've deduced the minimizer $\mathbf{x^*}$ as $(2,1)$ with $f^*
optimization - How to show that the method of steepest descent does not  converge in a finite number of steps? - Mathematics Stack Exchange
A structural optimization algorithm with stochastic forces and stresses
optimization - How to show that the method of steepest descent does not  converge in a finite number of steps? - Mathematics Stack Exchange
Solved 5. Suppose we use the method of steepest descent to
optimization - How to show that the method of steepest descent does not  converge in a finite number of steps? - Mathematics Stack Exchange
Mathematics, Free Full-Text
optimization - How to show that the method of steepest descent does not  converge in a finite number of steps? - Mathematics Stack Exchange
Steepest Descent Direction - an overview
optimization - How to show that the method of steepest descent does not  converge in a finite number of steps? - Mathematics Stack Exchange
convergence divergence - Interpretation of Noise in Function Optimization - Mathematics Stack Exchange
optimization - How to show that the method of steepest descent does not  converge in a finite number of steps? - Mathematics Stack Exchange
Accelerated Diagonal Steepest Descent Method for Unconstrained Multiobjective Optimization
optimization - How to show that the method of steepest descent does not  converge in a finite number of steps? - Mathematics Stack Exchange
Mathematics, Free Full-Text
optimization - How to show that the method of steepest descent does not  converge in a finite number of steps? - Mathematics Stack Exchange
Quasi-Newton methods for topology optimization using a level-set method
optimization - How to show that the method of steepest descent does not  converge in a finite number of steps? - Mathematics Stack Exchange
Reference Request: Introduction to step-size complexity of optimization algorithms - Mathematics Stack Exchange
optimization - How to show that the method of steepest descent does not  converge in a finite number of steps? - Mathematics Stack Exchange
CoolMomentum: a method for stochastic optimization by Langevin dynamics with simulated annealing
optimization - How to show that the method of steepest descent does not  converge in a finite number of steps? - Mathematics Stack Exchange
Solved I. Solve the following utility maximization problem
optimization - How to show that the method of steepest descent does not  converge in a finite number of steps? - Mathematics Stack Exchange
Mini-batch optimization enables training of ODE models on large-scale datasets
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