Optimization Using Pattern Search Method: MATLAB Programming

Name: Optimization Using Pattern Search Method: MATLAB Programming
Rating: 4.1 (149 reviews)

A Quick Way to Learn and Solve Optimization Problems in MATLAB. A Course for Beginners.

Created byKarthik Karunakaran, Ph.D.

Last updated 7/2022

English

What you'll learn

Running direct search optimization problems in MATLAB
Specifying objective functions
Specifying constraints
Vectorizing objective function and constraints
Obtaining local and global optima
Parallel computing

Course content

3 sections • 21 lectures • 48m total length

Welcome to the course1:13
Local optima and Global optima1:03
Single local solution, Multiple local solutions and Single global solution1:38

What is Objective Function ?0:46
MATLAB Script For Single Objective Function2:06
MATLAB Script For Vectorized Function Call2:01
Vectorize the objective function to compute multiple input sets at once, speeding up MATLAB optimization. Save the vectorized function on the MATLAB path and verify outputs as a column vector.
Passing Extra Parameters, Fixed Variables, or Data in the Objective Functions1:33

How Pattern Search Works?2:47
What is Direct/Pattern Search ?0:28
Unconstrained Pattern Search Minimization2:58
Pattern Search with a Linear Inequality Constraint2:46
Pattern Search with a Linear Equality Constraint3:36
Pattern Search with Bounds3:15
Pattern Search with Nonlinear Constraints2:30
Obtain Function Value And Minimizing Point1:40
Using a Complete Poll in a Generalized Pattern Search4:50
Vectorize the Objective and Constraint Functions1:48
Compute in Parallel2:03
Learn to solve an optimization with six independent variables and linear constraints in MATLAB using pattern search method, optimoptions to enable parallel mode and complete poll, reaching the global minimum.
Maximizing an Objective Function2:05
Stopping Criteria5:09
Exit Flag and Output2:44
Learn how to obtain the exitflag and output from the pattern search function in MATLAB, including interpreting x, fval, iterations, and mesh size at convergence.
Quiz on Optimization
Practice test on optimization

Requirements

MATLAB installed in your laptop/desktop computer

Description

This course introduces applied direct search optimization in the MATLAB environment, focusing on using Global Optimization Toolbox. Various kinds of optimization problems are solved in this course. At the end of this course, you will be able to solve the optimization problems using the MATLAB. The complete MATLAB programs included in the class are also available for download. Happy learning.

NB: This course is designed most straightforwardly to utilize your time wisely.

Who this course is for:

Anyone who is interested to solve optimization problems.
Researchers who want to publish ISI papers in this field.
Students who are working on optimization problems.

Optimization Using Pattern Search Method: MATLAB Programming

What you'll learn

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Course content

Introduction to Optimization3 lectures • 4min

Objective or Fitness Functions4 lectures • 6min

Direct/Pattern Search with MATLAB14 lectures • 39min

Requirements

Description

Who this course is for: