Use python or Matlab to show all thework. 2. (10 points) Consider the steepest descent method with
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Use python or Matlab to show all thework.
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2. (10 points) Consider the steepest descent method with exact line search for minimizing quadratic function: f(x) = ½ x¹ Q x - b¹ x, where Q is symmetric and positive definite. If the initial point is such that x - x* is parallel (proportional) to an eigenvector of Q, show that the method finds the * minimizer x¹ in one step. 2. (10 points) Consider the steepest descent method with exact line search for minimizing quadratic function: f(x) = ½ x¹ Q x - b¹ x, where Q is symmetric and positive definite. If the initial point is such that x - x* is parallel (proportional) to an eigenvector of Q, show that the method finds the * minimizer x¹ in one step.
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Related Book For
Numerical Methods For Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
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