MATLAB Optimization Techniques

1. Front Matter

   Pages i-xi

   PDF

2. Introducing MATLAB and the MATLAB Working Environment

   • César Pérez López

   Pages 1-21

3. MATLAB Programming

   • César Pérez López

   Pages 23-51

4. Basic MATLAB Functions for Linear and Non-Linear Optimization

   • César Pérez López

   Pages 53-66

5. Optimization by Numerical Methods: Solving Equations

   • César Pérez López

   Pages 67-80

6. Optimization Using Symbolic Computation

   • César Pérez López

   Pages 81-84

7. Optimization Techniques Via The Optimization Toolbox

   • César Pérez López

   Pages 85-108

8. Differentiation in one and Several Variables. Applications to Optimization

   • César Pérez López

   Pages 109-163

9. Optimization of Functions of Complex Variables

   • César Pérez López

   Pages 165-215

10. Algebraic Expressions, Polynomials, Equations and Systems. Tools for Optimization

    • César Pérez López

    Pages 217-277

MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java.

MATLAB Optimization Techniques introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. It begins by introducing the MATLAB environment and the structure of MATLAB programming before moving on to the mathematics of optimization. The central part of the book is dedicated to MATLAB’s Optimization Toolbox, which implements state-of-the-art algorithms for solving multiobjective problems, non-linear minimization with boundary conditions and restrictions, minimax optimization, semi-infinitely constrained minimization and linear and quadratic programming. A wide range of exercises and examples are included, illustrating the most widely used optimization methods.

“The book provides useful basic tools for solving optimization problems and related problems from numerical linear algebra using the MATLAB environment. … The book is well structured and comprehensible with attractive exposition style. It is appropriate for students and researches interested in mathematics, computer science, engineering, etc. Basic knowledge in the field of optimization and numerical linear algebra is required.” (Ctirad Matonoha, zbMATH 1374.90004, 2017)​

César Perez Lopez is a Professor at the Department of Statistics and Operations Research at the University of Madrid. César Perez Lopez is also a Mathematician and Economist at the National Statistics Institute (INE) in Madrid, a body which belongs to the Superior Systems and Information Technology Department of the Spanish Government. César also currently works at the Institute for Fiscal Studies in Madrid.

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