11. Carry out a single-variable search to minimize the function 12 f(x) = 3x² + on the intervalers! using (a) golden section. (b) interval halving. Each search method is to use four functional evaluations only. Compare the final search intervals obtained by the above methods.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 19E
icon
Related questions
Question
11. Carry out a single-variable search to minimize the function
12
f(x) = 3x² +
5 on the intervaleres
X
using (a) golden section. (b) interval halving.
Each search method is to use four functional evaluations only. Compare the final search intervals
obtained by the above methods.
Transcribed Image Text:11. Carry out a single-variable search to minimize the function 12 f(x) = 3x² + 5 on the intervaleres X using (a) golden section. (b) interval halving. Each search method is to use four functional evaluations only. Compare the final search intervals obtained by the above methods.
Expert Solution
steps

Step by step

Solved in 6 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning