A self-contained introduction to linear programming using MATLAB® software to elucidate the development of algorithms and theory. Exercises are included in each chapter, and additional information is provided in two appendices and an accompanying Web site. Only a basic knowledge of linear algebra and calculus is required.
This book is based on the lecture notes of the author delivered to the students at the Institute of Science, Banaras Hindu University, India.
MATLAB -- 3.1 Introduction -- 3.2 Basic Feature -- 3.3 Basic Operations in MATLAB -- 3.4 Selection Statements and Loop Statements -- 3.5 User-De ned Function -- 3.6 MATLAB Functions De ned in This Book -- 3.7 Exercises -- Chapter 4.
In addition to fundamental topics, the book discusses current l
This text is recommended for upper-level undergraduate and graduate students in all areas of engineering as well as other disciplines that use optimization techniques to solve design problems.
The book covers both gradient and stochastic methods as solution techniques for unconstrained and co
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 ...
This book provides the foundations of the theory of nonlinear optimization as well as some related algorithms and presents a variety of applications from diverse areas of applied sciences.
Namely, the rank deficient problems and the discrete ill posed problems. These two classes of problems can be distinguished by using the following properties [36] 1. in the rank deficient problems, there is a small cluster of small ...
All of these MATLAB tools and functions are rigorously tested and designed to work together. With MATLAB linear algebra functions, it is possible to perform fast and numerically robust matrix calculations.
This book discusses problem formulation and problem solving with the help of algorithms such as secant method, quasi-Newton method, linear programming and dynamic programming.