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An objective function model is given by m_k(x) = x_1^2 + Find the two-dimensional subspace 5x 2^2 + x 3^2 + x_4^2 + 4x_4. minimizer for m_k at x_k-(1,1,1,1) with delta_k = 1/2. global minimizer? What is the

An objective function model is given by m_k(x) = x_1^2 + Find the two-dimensional subspace 5x 2^2 + x 3^2 + x_4^2 + 4x_4. minimizer for m_k at x_k-(1,1,1,1) with delta_k = 1/2. global minimizer? What is the

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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I need answer of q5 that i attached separately I also attached the sample question (5 with answer) U can see it's similar just see this method and solve exactly like this plz I appreciate your efforts plz try to solve this and take a thumb up I need this in 1.30 hour plz plz plz plz help me plz don't reject plz use a matlab exactly like sample
Ans 5. The gradient is p_1 = g = [6,8,40,2,0]^T, and the Hessian is: [2 0 0 0 0] [0 2 6 0 0] [0 6 34 0 0] [0 0 0 2 0] 5. [00 002], We can so the second direction is p_2 = -B^-1 g = [-3,-1,-1,-1,0] ^T. assume that the minimizer is at the border of the trust region, and the result is p = 0.0046*p_1 + 0.1621*p_2= [-0.4587 -0.1253 0.0219 -0.1529 0]^T, giving a minimizer of [0.5413 0.8747 1.0219 0.8471 11^T. The global minimizer can be found by rewriting f(x) = (x_1+2)^2 - 4 + (x_2+3x_3)^2 + 8x_3^2 + x^4^2 + (x_5-1)^2 - 1, so that the minimizer is [- 2,0,0,0,1]. Question s) An objective function model is given by m_k (x) = x_1^2 + 4x 1 + x_2^2 + 17x_3^2 + x_4^2 + x_5^2 + 6x_2x_3 - 2x 5. Find the two-dimensional subspace minimizer for m_k at x_k=(1,1,1,1,1) with delta_k= 1/2. What is the global minimizer?
Transcribed Image Text:Ans 5. The gradient is p_1 = g = [6,8,40,2,0]^T, and the Hessian is: [2 0 0 0 0] [0 2 6 0 0] [0 6 34 0 0] [0 0 0 2 0] 5. [00 002], We can so the second direction is p_2 = -B^-1 g = [-3,-1,-1,-1,0] ^T. assume that the minimizer is at the border of the trust region, and the result is p = 0.0046*p_1 + 0.1621*p_2= [-0.4587 -0.1253 0.0219 -0.1529 0]^T, giving a minimizer of [0.5413 0.8747 1.0219 0.8471 11^T. The global minimizer can be found by rewriting f(x) = (x_1+2)^2 - 4 + (x_2+3x_3)^2 + 8x_3^2 + x^4^2 + (x_5-1)^2 - 1, so that the minimizer is [- 2,0,0,0,1]. Question s) An objective function model is given by m_k (x) = x_1^2 + 4x 1 + x_2^2 + 17x_3^2 + x_4^2 + x_5^2 + 6x_2x_3 - 2x 5. Find the two-dimensional subspace minimizer for m_k at x_k=(1,1,1,1,1) with delta_k= 1/2. What is the global minimizer?
5. An objective function model is given by m_k (x) = x_1^2 + Find the two-dimensional subspace 5x 2^2 + x 3^2 + x_4^2 + 4x 4. minimizer for m_k at x_k= (1,1,1,1) with delta_k= 1/2. global minimizer? What is the
Transcribed Image Text:5. An objective function model is given by m_k (x) = x_1^2 + Find the two-dimensional subspace 5x 2^2 + x 3^2 + x_4^2 + 4x 4. minimizer for m_k at x_k= (1,1,1,1) with delta_k= 1/2. global minimizer? What is the
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