11. Carry out a single-variable search to minimize the function 12 f(x) = 3x + on the interval

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 55E
icon
Related questions
Question
100%
11. Carry out a single-variable search to minimize the function
12
f(x) = 3x +
on the interval <x<
%3D
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.
12. Determine the minimum of
f(x) = (10x + 3x + x + 5)
starting at x = 3 and using a step size A= 5.0.
Using region elimination: expanding pattern bounding plus six steps of golden section.
Transcribed Image Text:11. Carry out a single-variable search to minimize the function 12 f(x) = 3x + on the interval <x< %3D 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. 12. Determine the minimum of f(x) = (10x + 3x + x + 5) starting at x = 3 and using a step size A= 5.0. Using region elimination: expanding pattern bounding plus six steps of golden section.
Expert Solution
steps

Step by step

Solved in 10 steps

Blurred answer
Recommended textbooks for you
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:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning