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GNU Octave Beginner's Guide

GNU Octave Beginner's Guide

By : Jesper Schmidt Hansen
4.2 (19)
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GNU Octave Beginner's Guide

GNU Octave Beginner's Guide

4.2 (19)
By: Jesper Schmidt Hansen

Overview of this book

Today, scientific computing and data analysis play an integral part in most scientific disciplines ranging from mathematics and biology to imaging processing and finance. With GNU Octave you have a highly flexible tool that can solve a vast number of such different problems as complex statistical analysis and dynamical system studies.The GNU Octave Beginner's Guide gives you an introduction that enables you to solve and analyze complicated numerical problems. The book is based on numerous concrete examples and at the end of each chapter you will find exercises to test your knowledge. It's easy to learn GNU Octave, with the GNU Octave Beginner's Guide to hand.Using real-world examples the GNU Octave Beginner's Guide will take you through the most important aspects of GNU Octave. This practical guide takes you from the basics where you are introduced to the interpreter to a more advanced level where you will learn how to build your own specialized and highly optimized GNU Octave toolbox package. The book starts by introducing you to work variables like vectors and matrices, demonstrating how to perform simple arithmetic operations on these objects before explaining how to use some of the simple functionality that comes with GNU Octave, including plotting. It then goes on to show you how to write new functionality into GNU Octave and how to make a toolbox package to solve your specific problem. Finally, it demonstrates how to optimize your code and link GNU Octave with C and C++ code enabling you to solve even the most computationally demanding tasks. After reading GNU Octave Beginner's Guide you will be able to use and tailor GNU Octave to solve most numerical problems and perform complicated data analysis with ease.
Table of Contents (15 chapters)
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GNU Octave
Credits
About the Author
About the Reviewers
www.PacktPub.com
Preface

Writing and applying user-supplied functions


In Chapter 3, we saw how to "build" mathematical functions directly via the Octave command prompt. Here we will do the same thing, but we will do it properly this time and use Octave functions.

Consider the following vector valued function which we will call the Sel'kov function (an explanation follows later):

(5.1)

b is some positive real number that we can vary as we like. We can write Equation (5.1) in a slightly different way by letting (x,y)=(x1,x2)=x:

(5.2)

When we write an Octave function for Equation (5.2), we can specify the value of b in at least three different ways:

  1. 1. We can simply set the value of b inside the function (inside the function scope)

  2. 2. We can let b be input to the function

  3. 3. We can let b be a global variable such that its value is accessible from both the workspace and inside the function scope

The first option is a bad choice, because we then have to change the value of b inside inside the function every time we need to change...

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