11: Given the function f(X) = 8x2 - 4x₁x₂ + 5x and Xo = [5 2]. Then G-¹g at Xo is equal (( G is the Hessian matrix and g is the gradient vector for f(X))) A: [25] B: [-2 -5] C: [52] D: [-5 -2]" O A B O D * 12: Apply Newton's method with line search for f(x) = x₁-x₂ + 2x² + 2x1x2 + x2 with a starting point Xo = [0 0]. Then X₁ = A: [-1 1.5] B: [11] C: [11] D: Non of these O A
11: Given the function f(X) = 8x2 - 4x₁x₂ + 5x and Xo = [5 2]. Then G-¹g at Xo is equal (( G is the Hessian matrix and g is the gradient vector for f(X))) A: [25] B: [-2 -5] C: [52] D: [-5 -2]" O A B O D * 12: Apply Newton's method with line search for f(x) = x₁-x₂ + 2x² + 2x1x2 + x2 with a starting point Xo = [0 0]. Then X₁ = A: [-1 1.5] B: [11] C: [11] D: Non of these O A
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![11:
Given the function f(X) = 8x2 - 4x₁x₂ + 5x and Xo = [5 2]. Then G-¹g at Xo is
equal (( G is the Hessian matrix and g is the gradient vector for f(X)))
A: [25] B: [-2 -5] C: [52] D: [-5 -2]"
O A
B
O D
*
12:
Apply Newton's method with line search for f(x) = x₁-x₂ + 2x² + 2x1x2 + x2 with a
starting point Xo = [0 0]. Then X₁ =
A: [-1 1.5] B:
[11] C: [11] D: Non of these
O A
B
О с
O D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c7226de-e13e-4fbe-9743-63dfa38762a0%2F4e37f2b8-817f-4a72-a079-4f97f0324d8c%2Fnm16q1g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11:
Given the function f(X) = 8x2 - 4x₁x₂ + 5x and Xo = [5 2]. Then G-¹g at Xo is
equal (( G is the Hessian matrix and g is the gradient vector for f(X)))
A: [25] B: [-2 -5] C: [52] D: [-5 -2]"
O A
B
O D
*
12:
Apply Newton's method with line search for f(x) = x₁-x₂ + 2x² + 2x1x2 + x2 with a
starting point Xo = [0 0]. Then X₁ =
A: [-1 1.5] B:
[11] C: [11] D: Non of these
O A
B
О с
O D
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