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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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?
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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