Steepest Descent Do steepest descent steps when: 1. Typical behavior: f(x₁, x₂) = 5x² + x² + 4x₁.x₂ − 14x₁ − 6x₂ + 20, w

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Steepest Descent Do Steepest Descent Steps When 1 Typical Behavior F X X 5x X 4x X 14x 6x 20 W 1 (47.13 KiB) Viewed 52 times

Steepest Descent Do steepest descent steps when: 1. Typical behavior: f(x₁, x₂) = 5x² + x² + 4x₁.x₂ − 14x₁ − 6x₂ + 20, with x = (0, 10) performing 5 steps. 2. Heun-Stitching: Consider the function ƒ(x) = x¹ Qx − c¹ x + 10, where Q and c are given by Q = = (² 20 5 5 2 and c = ( 16 ). starting from xo = (40,-100) performing 5 steps. 3. A non-quadratic function: f(x) = x₁-0.6x2 - ₁ log(x;) - log(5 - ₁x₁), starting from x₁ = (1, 1) performing 5 steps. 4. f(x) = 4x² - 4x₁x₂ + 2x with initial point x = (2,3). Perform 5 iterations.