Numerical Linear Algebra with Applications book cover

Numerical Linear Algebra with Applications


Designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, Numerical Linear Algebra with Applications contains all the material necessary for a graduate course on numerical linear algebra and numerous applications to engineering and science used in industry.

With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems. It provides necessary mathematical background information for those who want to learn to solve linear algebra problems using MATLAB, and offers a thorough explanation of the issues and methods for practical computation, avoiding an extensive theorem-proof type of exposition for practical use.


Graduate students in computer science, engineering, and mathematics, 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.

Hardbound, 592 Pages

Published: August 2014

Imprint: Academic Press

ISBN: 978-0-12-394435-1


  • 1. Matrices
    2. Linear equations
    3. Subspaces
    4. Determinants
    5. Eigenvalues and eigenvectors
    6. Orthogonal vectors and matrices
    7. Vector and matrix norms
    8. Gram-schmidt orthogonalization
    9. The singular value decomposition
    10. Algorithms
    11. Floating point arithmetic
    12. Conditioning of problems and stability of algorithms
    13. Gaussian elimination and the lufactorization
    14. Linear system applications
    15. Important special systems
    16. Implementing the qr factorization
    17. Least-squares problems
    18. Iterative methods
    19. The algebraic eigenvalue problem
    20. The symmetric eigenvalue problem
    21. Computing the singular value decomposition
    22. Introduction to parallel algorithms
    23. Advanced Matlab Functions


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