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Numerical Linear Algebra with Applications: Using MATLAB and Octave

Autor William Ford, David Stapleton
en Limba Engleză Paperback – aug 2025
Numerical Linear Algebra with Applications: Using MATLAB and Octave, Second Edition provides a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems. Appropriate for advanced undergraduate and early graduate courses on numerical linear algebra, this useful textbook explores numerous applications to engineering and science. Ideal for solving real-world problems, Numerical Linear Algebra with Applications: Using MATLAB and Octave offers a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions. Useful to readers regardless of background, the text begins with six introductory courses to provide background for those who haven’t taken applied or theoretical linear algebra, and offers a thorough explanation of the issues and methods for practical computing, using MATLAB as the vehicle for computation.


  • Features six introductory chapters to provide the required background for readers without coursework in applied or theoretical linear algebra
  • Offers a through discussion of the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra
  • Provides illustrative examples from engineering and science applications
  • Includes online teaching support for qualified instructors (Solutions Manual, PowerPoint Slides) and study materials for students (Text examples, Algorithms)
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Specificații

ISBN-13: 9780443134760
ISBN-10: 0443134766
Pagini: 500
Dimensiuni: 216 x 276 mm
Ediția:2
Editura: ELSEVIER SCIENCE

Cuprins

1. Matrices 2. Linear equations 3. Subspaces 4. Determinants 5. Eigenvalues and eigenvectors 6. Orthogonal vectors and matrices 7. Vector and matrix norms 8. Floating point arithmetic 9. Algorithms 10. Conditioning of problems and stability of algorithms 11. Gaussian elimination and the LU decomposition 12. Linear system applications 13. Important special systems 14. Gram-Schmidt decomposition 15. The singular value decomposition 16. Least-squares problems 17. Implementing the QR factorization 18. The algebraic eigenvalue problem 19. The symmetric eigenvalue problem 20. Basic iterative methods 21. Krylov subspace methods 22. Large sparse eigenvalue problems 23. Computing the singular value decomposition