Find the optimum of f(x) = 2.2x-1.7x² + x³ -0.25x Perform: (Round-off all computed values to 4 decimal places.) a) (2 iterations) Golden-Section Search using X₁ = -2.4 and X₁ = 4.5 • For each iteration, show the following: d, X₁, X2, decision rule, ea, and the next X₁ and Xu → Are you approaching a local or global optimum? Are you approaching a minimum or maximum optimum?
Find the optimum of f(x) = 2.2x-1.7x² + x³ -0.25x Perform: (Round-off all computed values to 4 decimal places.) a) (2 iterations) Golden-Section Search using X₁ = -2.4 and X₁ = 4.5 • For each iteration, show the following: d, X₁, X2, decision rule, ea, and the next X₁ and Xu → Are you approaching a local or global optimum? Are you approaching a minimum or maximum optimum?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Find the optimum of f(x) = 2.2x – 1.7x2 + x3 – 0.25x4
Perform: (Round-off all computed values to 4 decimal places.)
a) (2 iterations) Golden-Section Search using XL = –2.4 and XU = 4.5
- For each iteration, show the following: d, X1, X2, decision rule, ea, and the next XL and
XU - Are you approaching a local or global optimum? ____________
- Are you approaching a minimum or maximum optimum? __________
Transcribed Image Text:Find the optimum of f(x) = 2.2x - 1.7x² +
2 + x³ -0.25x¹
Perform: (Round-off all computed values to 4 decimal places.)
a) (2 iterations) Golden-Section Search using X₁ = -2.4 and X₁ = 4.5
• For each iteration, show the following: d, X₁, X₂, decision rule, ea, and the next X₁, and
XU
Are you approaching a local or global optimum?
→ Are you approaching a minimum or maximum optimum?
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