Numerical Linear Algebra with Applications
eBook - ePub

Numerical Linear Algebra with Applications

Using MATLAB and Octave

  1. 628 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Numerical Linear Algebra with Applications

Using MATLAB and Octave

About this book

Numerical Linear Algebra with Applications is designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, using MATLAB as the vehicle for computation. The book contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science. With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems.The text consists of six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra. It explains in great detail the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra. In addition to examples from engineering and science applications, proofs of required results are provided without leaving out critical details. The Preface suggests ways in which the book can be used with or without an intensive study of proofs.This book will be a useful reference for graduate or advanced undergraduate students in engineering, science, and mathematics. It will also appeal to professionals in engineering and science, such as practicing engineers who want to see how numerical linear algebra problems can be solved using a programming language such as MATLAB, MAPLE, or Mathematica.- Six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra- Detailed explanations and examples- A through discussion of the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra- Examples from engineering and science applications

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Numerical Linear Algebra with Applications by William Ford in PDF and/or ePUB format, as well as other popular books in Mathematics & Linear Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
eBook ISBN
9780123947840
Topic
Mathematics
Subtopic
Linear Algebra
Index
Mathematics

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Dedication
  6. List of Figures
  7. List of Algorithms
  8. Preface
  9. Chapter 1: Matrices
  10. Chapter 2: Linear Equations
  11. Chapter 3: Subspaces
  12. Chapter 4: Determinants
  13. Chapter 5: Eigenvalues and Eigenvectors
  14. Chapter 6: Orthogonal Vectors and Matrices
  15. Chapter 7: Vector and Matrix Norms
  16. Chapter 8: Floating Point Arithmetic
  17. Chapter 9: Algorithms
  18. Chapter 10: Conditioning of Problems and Stability of Algorithms
  19. Chapter 11: Gaussian Elimination and the LU Decomposition
  20. Chapter 12: Linear System Applications
  21. Chapter 13: Important Special Systems
  22. Chapter 14: Gram-Schmidt Orthonormalization
  23. Chapter 15: The Singular Value Decomposition
  24. Chapter 16: Least-Squares Problems
  25. Chapter 17: Implementing the QR Decomposition
  26. Chapter 18: The Algebraic Eigenvalue Problem
  27. Chapter 19: The Symmetric Eigenvalue Problem
  28. Chapter 20: Basic Iterative Methods
  29. Chapter 21: Krylov Subspace Methods
  30. Chapter 22: Large Sparse Eigenvalue Problems
  31. Chapter 23: Computing the Singular Value Decomposition
  32. Appendix A: Complex Numbers
  33. Appendix B: Mathematical Induction
  34. Appendix C: Chebyshev Polynomials
  35. Glossary
  36. Bibliography
  37. Index