Non-Linear Programming
eBook - ePub

Non-Linear Programming

A Basic Introduction

  1. 70 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Non-Linear Programming

A Basic Introduction

About this book

This book is for beginners who are struggling to understand and optimize non-linear problems. The content will help readers gain an understanding and learn how to formulate real-world problems and will also give insight to many researchers for their future prospects.

It proposes a mind map for conceptual understanding and includes sufficient solved examples for reader comprehension. The theory is explained in a lucid way. The variety of examples are framed to raise the thinking level of the reader and the formulation of real-world problems are included in the last chapter along with applications.

The book is self-explanatory, well synchronized and written for undergraduate, post graduate and research scholars.

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Yes, you can access Non-Linear Programming by Nita H. Shah,Poonam Prakash Mishra in PDF and/or ePUB format, as well as other popular books in Business & Operations. We have over one million books available in our catalogue for you to explore.

Information

Publisher
CRC Press
Year
2020
Print ISBN
9780367613280
eBook ISBN
9781000339956
Edition
1
Topic
Business
Subtopic
Operations
Index
Business

1

One-Dimensional Optimization Problem

1.1Introduction

In this section, we discuss the different methods available to optimize (minimize/maximize) the given function with only one variable. Methods used for one-dimensional optimization are highly useful for multivariable optimization. Firstly, we see the methods that can be used for unimodal functions. Unimodal functions are those functions that has only one peak or valley (in the given domain). Mathematically, function f(x) is unimodal if (i) x1<x2<x* implies that f(x2)<f(x1) and (ii) x2>x1>x* implies that f(x1)<f(x2), where x* is the minimum point. Figure 1.1 is a mind map that can help to explore available methods for these set of problems.
Figure 1.1Tree diagram of available methods for one-variable optimization.

1.2Analytical Approach

Analytic or conventional approach for extreme values can be achieved by following necessary and sufficient conditions, but t...

Table of contents

  1. Cover
  2. Half Title
  3. Series Information
  4. Title Page
  5. Copyright Page
  6. Contents
  7. Preface
  8. Acknowledgement
  9. Author/Editor Biographies
  10. 1 One-Dimensional Optimization Problem
  11. 2 Unconstrained Multivariable Optimization
  12. 3 Constrained Multivariable Optimization
  13. 4 Applications of Non-Linear Programming
  14. Index