This manual is for the GNU Octave interval package, version 3.2.2.

Copyright © 2015 Oliver Heimlich
Copyright © 2017 Joel Dahne
Copyright © 2008 Simone Pernice

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU General Public License, Version 3 or any later version published by the Free Software Foundation. A copy of the license is included in GNU General Public License.

Next: Preface, Up: (dir)   [Contents]

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Table of Contents

• Preface
  • Acknowledgments
  • Philosophy
  • Distribution and Development
  • Getting Help
• 1 Getting Started
  • 1.1 Installation
  • 1.2 Set-based Interval Arithmetic
  • 1.3 Input and Output
    • 1.3.1 Interval Vectors, Matrices and Arrays
  • 1.4 Arithmetic Operations
  • 1.5 Numerical Operations
  • 1.6 Boolean Operations
  • 1.7 Matrix and Array Operations
    • 1.7.1 Notes on Linear Systems
  • 1.8 Plotting
• 2 Introduction to Interval Arithmetic
  • 2.1 Motivation
  • 2.2 Error bounds in real life
  • 2.3 Pros and Cons
  • 2.4 Theory
• 3 Examples
  • 3.1 Arithmetic with System-independent Accuracy
  • 3.2 Prove the Existence of a Fixed Point
  • 3.3 Floating-point Numbers
  • 3.4 Root Finding
    • 3.4.1 Interval Newton Method
    • 3.4.2 Bisection
  • 3.5 Parameter Estimation
    • 3.5.1 Small Search Space
    • 3.5.2 Larger Search Space
    • 3.5.3 Combination of Functions
  • 3.6 Path Planning
• 4 Advanced Topics
  • 4.1 Error Handling
  • 4.2 Decorations
  • 4.3 Specialized interval constructors
  • 4.4 Reverse Arithmetic Operations
  • 4.5 Tips and Tricks
  • 4.6 Validation
• Appendix A IEEE Std 1788-2015
  • A.1 Function Names
    • A.1.1 Interval constants
    • A.1.2 Constructors
    • A.1.3 Required functions
    • A.1.4 Recommended functions
    • A.1.5 Operations on/with decorations
    • A.1.6 Reduction operations
    • A.1.7 Input
    • A.1.8 Output
    • A.1.9 Exact text representation
    • A.1.10 Interchange representation and encoding
  • A.2 Conformance Claim
  • A.3 Conformance Questionnaire
• Appendix B GNU General Public License