Why does Newton's method consistently outperform gradient descent?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter18: Mathematics In Engineering
Section18.3: Nonlinear Models
Problem 2BYG
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Why does Newton's method consistently outperform gradient descent?

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Step 1 Data Interpretation

Newton's method and gradient descent method are used in numerical optimization

Required: To explain why Newton's method consistently outperform gradient descent

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