ABSTRACT

For students in industrial and systems engineering (ISE) and operations research (OR) to understand optimization at an advanced level, they must first grasp the analysis of algorithms, computational complexity, and other concepts and modern developments in numerical methods. Satisfying this prerequisite, Numerical Methods and Optimization: An Intro

part |2 pages

I Basics

chapter 1|34 pages

Preliminaries

chapter 2|16 pages

Numbers and Errors

part |2 pages

II Numerical Methods for Standard Problems

chapter 3|32 pages

Elements of Numerical Linear Algebra

chapter 4|26 pages

Solving Equations

chapter 5|14 pages

Polynomial Interpolation

chapter 6|14 pages

Numerical Integration

part |2 pages

III Introduction to Optimization

chapter 8|24 pages

Basic Concepts

chapter 9|26 pages

Complexity Issues

chapter 10|24 pages

Introduction to Linear Programming

chapter 11|46 pages

The Simplex Method for Linear Programming

chapter 13|34 pages

Unconstrained Optimization

chapter 14|36 pages

Constrained Optimization