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Convex Optimization by Lieven Vandenberghe, Stephen Boyd

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Gradient and steepest descent methods

9.6  Quadratic problem in R2. Verify the expressions for the iterates x(k) in the first example of §9.3.2.

9.7  Let Δxnsd and Δxsd be the normalized and unnormalized steepest descent directions at x, for the norm · . Prove the following identities.

9.8  Steepest descent method in-norm. Explain how to find a steepest descent direction in the ℓ-norm, and give a simple interpretation.

Newton’s method

9.9  Newton ...

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