. Let consider f(x) = x³-3x on the interval [-1,2]. (a) Execute first 2 iterations of Golden Section Method to find a minimum. (b) Execute first 2 iterations of Successive Parabolic Interpolation with starting point r = -1, s = 0, and t = 2.
. Let consider f(x) = x³-3x on the interval [-1,2]. (a) Execute first 2 iterations of Golden Section Method to find a minimum. (b) Execute first 2 iterations of Successive Parabolic Interpolation with starting point r = -1, s = 0, and t = 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![7. Let us consider \( f(x) = x^3 - 3x \) on the interval \([-1, 2]\).
(a) Execute the first 2 iterations of the Golden Section Method to find a minimum.
(b) Execute the first 2 iterations of Successive Parabolic Interpolation with starting point \( r = -1 \), \( s = 0 \), and \( t = 2 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c9872f4-07a5-438e-9711-8d7455ed4876%2F49793b7e-b6bc-4296-92ba-abe9e798ab0e%2Fd2qcsk_processed.png&w=3840&q=75)
Transcribed Image Text:7. Let us consider \( f(x) = x^3 - 3x \) on the interval \([-1, 2]\).
(a) Execute the first 2 iterations of the Golden Section Method to find a minimum.
(b) Execute the first 2 iterations of Successive Parabolic Interpolation with starting point \( r = -1 \), \( s = 0 \), and \( t = 2 \).
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